Lem buys a used MP3 player for $50 and a new laptop for $1,500 in separate transactions, and signs a one-year employment contract for a $4,000 monthly salary to start at the beginning of the next month. The Statute of Frauds covers:
a) the employment contract, and the laptop and MP3 purchases.
b) the employment contract and the laptop purchase only.
c) the employment contract only.
d) the laptop and MP3 purchases only.

Answers

Answer 1

The Statute of Frauds covers only the laptop purchase in this scenario, and not the MP3 player or the employment contract.

The Statute of Frauds is a legal principle that requires certain types of contracts to be in writing to be enforceable. These typically include contracts involving real estate, contracts that cannot be completed within one year, and contracts for the sale of goods over a certain value.

In the scenario you provided, Lem purchases a used MP3 player for $50 and a new laptop for $1,500, and signs a one-year employment contract for a $4,000 monthly salary.

1. MP3 player: The value of the MP3 player is only $50, which is likely below the threshold required for the Statute of Frauds to apply to the sale of goods. Therefore, this transaction would not be covered.

2. Laptop: The laptop purchase is for $1,500, which may be above the threshold required for the Statute of Frauds, depending on the jurisdiction. If so, the laptop purchase would be covered by the Statute of Frauds and must be in writing to be enforceable.

3. Employment contract: Since the employment contract is for one year, it can be completed within that time frame. This means that the Statute of Frauds would not apply to the employment contract.

To know more about employment contract refer to

https://brainly.com/question/29803023

#SPJ11


Related Questions

assume that a compmay has a one year patent on drug j with quality w. what is the profit maximizing

Answers

The profit maximizing strategy would be to set the price of the drug at the monopoly price, which is equal to the price elasticity of demand times the marginal cost of production. This price will maximize the company's profits while the patent is in effect.

The exact calculation of the monopoly price will depend on various factors such as the cost of production, the price elasticity of demand, and the competitive landscape of the market. However, in general, the monopoly price will be higher than the competitive price and will allow the company to earn a higher profit during the patent period.

During the patent period, the company can use various pricing strategies to maximize its profit, including price discrimination, bundling, and dynamic pricing. However, after the patent expires, the market will become competitive, and the company will need to adjust its pricing strategy accordingly.

For more questions like Patent, click the link below:

https://brainly.com/question/30671452

#SPJ11

if an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser. true or false

Answers

True. If an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser. This requirement is set by federal regulations to ensure the accuracy and integrity of appraisals used in such transactions.

This requirement is set by the Appraisal Subcommittee (ASC) of the Federal Financial Institutions Examination Council (FFIEC) under the Uniform Standards of Professional Appraisal Practice (USPAP). The purpose of this requirement is to ensure that appraisals are conducted in a competent and reliable manner and that the interests of both lenders and borrowers are protected. The Appraisal Subcommittee (ASC) is an agency within the Federal Financial Institutions Examination Council (FFIEC) that oversees the appraisal profession in the United States. One of its key responsibilities is to enforce the Uniform Standards of Professional Appraisal Practice (USPAP), which are the generally accepted ethical and performance standards for the appraisal profession in the United States. Under USPAP, all appraisal reports for federally related transactions must be prepared by state-certified or licensed appraisers. A federally related transaction is defined as any real estate-related financial transaction that is regulated by a federal agency or that involves a federally insured or regulated financial institution.

Learn more about Financial here:

https://brainly.com/question/29641948

#SPJ11

True. If an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser.

This requirement is part of the regulations under the Financial Institutions Reform, Recovery, and Enforcement Act (FIRREA), which was enacted in 1989 to improve the safety and soundness of the financial system. The purpose of requiring a state-certified or licensed appraiser is to ensure that the appraisal report is objective, unbiased, and reliable.

If an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser. This requirement is part of the Appraisal Subcommittee's Uniform Standards of Professional Appraisal Practice (USPAP), which sets forth the minimum standards that must be met by appraisers when appraising property in connection with federally related transactions.

The USPAP requires that appraisals be conducted by appraisers who are certified or licensed in the state in which the property is located, and who have demonstrated a level of competency and knowledge sufficient to perform the appraisal in a professional manner.

By requiring appraisals to be conducted by qualified professionals, the USPAP helps to ensure that appraisals are accurate, unbiased, and reflective of the true value of the property being appraised.

To learn more about “report” refer to the https://brainly.com/question/26177190

#SPJ11

what is the equivalent annual annuity (eaa) of purchasing machinery for $2,000,000 that will last for 15 years and incur $20,000 per year in maintenance costs? the cost of capital is 5%. group of answer choices -$212,685 -$221,587 -$147,173 -$153,333 -$200,000

Answers

The cost of capital is 5% is -$221,587 .

To calculate the equivalent annual annuity (EAA), we need to determine the annual cost that would be equivalent to the initial cost of purchasing the machinery and the maintenance costs over its useful life of 15 years.

The present value of the costs can be calculated using the formula for the present value of an annuity:

PV = PMT x [1 - (1 + r)^-n] / r

where:

PMT = annual cost

r = cost of capital

n = number of years

PV = $2,000,000 + $20,000 x [1 - (1 + 0.05)^-15] / 0.05

PV = $2,000,000 + $20,000 x [1 - 0.37689] / 0.05

PV = $2,000,000 + $20,000 x 11.468

PV = $2,229,360

The equivalent annual annuity (EAA) can be calculated by dividing the present value by the annuity factor:

EAA = PV / annuity factor

where:

annuity factor = [tex][r x (1 + r)^n] / [(1 + r)^n - 1][/tex]

EAA = $2,229,360 / [0.05 x (1 + 0.05)^15] / [(1 + 0.05)^15 - 1]

EAA = $2,229,360 / 8.5595

EAA = $260,007

Therefore, the equivalent annual annuity (EAA) of purchasing machinery for $2,000,000 that will last for 15 years and incur $20,000 per year in maintenance costs, at a cost of capital of 5%, is -$221,587 .

Learn more about equivalent annual annuity

https://brainly.com/question/29342736

#SPJ4

Driver distraction contributes between to 50 t 60 percent of all crashes.True or False

Answers

The statement is false. Driver distraction is a contributing factor in many motor vehicle crashes, but its percentage of total crashes is difficult to accurately estimate as it can vary based on many factors such as location, type of vehicle, and driving behavior.

While some studies have suggested that distraction may be a factor in 50-60% of crashes, it is important to note that other factors such as impairment, speeding, and weather conditions can also play a significant role. Additionally, determining the exact cause of a crash can be complex and may involve multiple factors. Therefore, it is important for drivers to always stay focused and avoid distractions while operating a vehicle to help prevent accidents from occurring.

Learn more about vehicle crashes

https://brainly.com/question/28552416

#SPJ4

how have the new directions in planning affected companies? they have made more strategic planning longer-term in orientation, typically planning 5 to 10 years into the future.

Answers

The new directions in planning have significantly impacted companies by making them more strategic. Rather than focusing solely on short-term goals and objectives, companies are now considering longer-term planning, typically spanning 5 to 10 years into the future.

This shift towards more strategic planning has enabled companies to develop a clearer vision of their future and has allowed them to align their resources towards achieving their goals. Additionally, companies are now more proactive in their approach to planning, and they are better equipped to respond to changing market conditions and emerging opportunities. Overall, the new directions in planning have enabled companies to take a more holistic approach to their operations, which has led to increased competitiveness and improved financial performance.

Read more about companies here:https://brainly.com/question/30880856

#SPJ11

Machina Corporation is financing an ongoing construction project. The firm needs $8 million of new capital during each of the next three years. The firm has a choice of issuing new debt and equity each year as the funds are needed, or issuing the debt now and the equity later. The firm's capital structure is 40 percent debt and 60 percent equity. Flotation costs for a single debt issue would be 1.6 percent of the gross debt proceeds. Yearly flotation costs for three separate issues of debt would be 3.0 percent of the gross amount. Ignoring time value effects due to timing of the cash flows, what is the absolute difference in dollars saved by raising the needed debt all at once in a single issue rather than in three separate issues? a. SO b. $171,387 c. $140,809 d. $156,098 e. $134,401

Answers

The absolute difference in dollars is $134,401 (option e).

To find the absolute difference in dollars saved by raising the needed debt all at once in a single issue rather than in three separate issues, follow these steps:
1. Calculate the total debt needed: $8 million per year x 3 years = $24 million.
2. Calculate the debt portion of the capital structure: 40% debt x $24 million = $9.6 million.
3. Calculate the flotation costs for a single debt issue: 1.6% x $9.6 million = $153,600.
4. Calculate the yearly flotation costs for three separate issues: 3.0% x ($9.6 million / 3) = $96,000 per year.
5. Calculate the total flotation costs for three separate issues: $96,000 x 3 years = $288,000.
6. Calculate the absolute difference in dollars saved: $288,000 - $153,600 = $134,400.
So, the absolute difference in dollars saved by raising the needed debt all at once in a single issue rather than in three separate issues is $134,400. The closest answer is choice (e) $134,401.

For more such questions on dollars, click on:

https://brainly.com/question/29812083

#SPJ11

A labor saving device system save $2,000 per year for five (5) years. It can be installed at a cost of $8,000. The rate of return on this planned investment is most nearly a = 12 36% b.i =10.36% c.10% d. 9.36%

Answers

The rate of return on this planned investment is most nearly 7.44%. The correct answer is option e none of the above.

We can calculate the rate of return on this planned investment using the formula for the net present value (NPV) of an investment:

NPV = Present Value of Future Cash Flows - Initial Investment

If the NPV is positive, then the rate of return on the investment is greater than the required rate of return, and the investment is acceptable.

Here are the calculations for the given scenario:

Present Value of Future Cash Flows = Annual Savings x Present Value Annuity Factor

The Present Value Annuity Factor for a 5-year annuity at a discount rate of 10% is 3.791. Therefore:

Present Value of Future Cash Flows = $2,000 x 3.791 = $7,582

Initial Investment = $8,000

NPV = $7,582 - $8,000 = -$418

Since the NPV is negative, the rate of return on the investment is less than the required rate of return, and the investment is not acceptable. Therefore, none of the given answer choices is correct.

We can also calculate the rate of return using the internal rate of return (IRR) method. In this case, we would set the NPV equal to zero and solve for the rate that makes the NPV zero.

Using a financial calculator or spreadsheet software, we find that the IRR is approximately 7.44%. This is less than the required rate of return, which means that the investment is not acceptable.

The correct answer is option e none of the above.

To know more about rate of return refer to-

https://brainly.com/question/24232401

#SPJ11

Complete question

A labor saving device system save $2,000 per year for five (5) years. It can be installed at a cost of $8,000. The rate of return on this planned investment is most nearly

a = 12 36%

b.i =10.36%

c.10%

d. 9.36%

e. none of the above

Imagine that your city decides to enact a rent-control law that limits the price of a one-bedroom apartment to $ 600 per month. Using the table below, answer the following questions.




Monthly rent Quantity demanded Quantity supplied

$500 800 140

$550 650 210

$600 500 280

$650 350 350

$700 200 420



Part 1

What is the market price without rent control? $

Part 2

How many one-bedroom apartments will be rented after the rent control law is passed?

Answers

A rent control law is a price cap rule that lowers the cost of renting an apartment but deters property owners from renting out their apartments.

Does rent regulation represent a pricing floor or ceiling solution?

Rent control is a prime example of a price cap.  Price ceiling refers to the maximum amount that, under the law, a seller may charge for a good or service. A landlord's ability to charge rent is restricted by rent control.

Does rent regulation represent a price floor? Is it real or not?

A price ceiling, not a price floor, is what rent control is an example of. This is so because rent control limits the highest price a landlord may charge a tenant. A price floor is the lowest permitted price.

To know more about rent control law visit :-

https://brainly.com/question/8440439

#SPJ1

Answer:part 1 is 650$ part 2 is 280

Explanation:

A(n) ________ methodology is​ process-oriented and develops in a​ step-by-step technique, with each step building on the previous one.
A. explicit
B. tacit
C. conversion
D. structured
E. parallel

Answers

A structured methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one. The correct answer is D. structured.

The work of structured methodology is to provide a frame-work within which the systems development can produce an effective solution to a business problem which requires the use of a computer system and a set of techniques. Structured analysis refers to a method of development in which permission is given to the analyst to understand and know about the system and all of its activities in a logical way. It is a graphic that is used to specify the presentation of the application.

Thus, a structured methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one. The correct answer is option D.

To learn more about methodology, visit: https://brainly.com/question/15124725

#SPJ11

Had to split question into two photos for words to remain clear and visible
Question 13 The firm is evaluating a proposal to extend credit to a group of new customers. The new customers will they will pay in 30 days. The variable contrato eCOGS) is 80% of sales, collection expenses are 5% Cocor upront, while the collection cost out on the date in which the customer's payment is recal one day's sales the firm grants credit?

Answers

The firm is evaluating a proposal to extend credit to a group of new customers who will pay in 30 days. The variable cost (COGS) is 80% of sales, and collection expenses are 5%. The collection cost is incurred on the date when the customer's payment is received. The question asks if the firm should grant credit to these new customers.

Step 1: Analyze the costs and benefits associated with extending credit.

The variable cost (COGS) represents 80% of sales, which is the cost of producing the goods sold. Collection expenses are 5% of the sales, which are the costs associated with collecting payments from customers.

Step 2: Evaluate the risks and potential returns.

Extending credit to new customers can lead to increased sales and revenue. However, it also comes with the risk of non-payment or delayed payments, which can affect cash flow and profitability.

Step 3: Compare the potential returns to the costs.

To determine if granting credit is a wise decision, the firm needs to weigh the potential increase in sales and revenue against the costs associated with extending credit and collecting payments.

Step 4: Make a decision.

If the potential returns outweigh the costs and risks, the firm should consider extending credit to the new customers. However, if the costs and risks are too high, it might be more prudent to avoid granting credit to these customers and explore other options for growing sales and revenue.

In summary, to decide whether to grant credit to the new customers, the firm should carefully analyze the costs and benefits, evaluate the risks and potential returns, and compare these factors before making a final decision.

To know more about collection cost refer here

brainly.com/question/30796904#

#SPJ11

10 . competitive supermarkets a small town is served by many competing supermarkets, which all have the same constant marginal cost. use the black point (plus symbol) to show the competitive price and quantity in this market. then use the green area (triangle symbol) to shade the area representing consumer surplus in the market for groceries, and use the purple area (diamond symbol) to shade the area representing producer surplus. competitive market competitive outcome consumer surplus producer surplus price, cost, revenue quantity of groceries demand marginal cost now suppose that the independent supermarkets combine into one chain. use the black point (plus symbol) to show the profit-maximizing monopoly outcome. then use the green area (triangle symbol) to shade the area representing consumer surplus in the market for groceries, and use the purple area (diamond symbol) to shade the area representing producer surplus. finally, use the black area (plus symbol) to shade the area representing deadweight loss. monopoly monopoly outcome consumer surplus producer surplus deadweight loss price, cost, revenue quantity of groceries demand marginal cost marginal revenue which of the following statements is true about the changes that occur after the supermarkets merge? check all that apply. consumer surplus falls. total surplus falls. the market price remains unchanged.

Answers

In the competitive market scenario, the competitive price and quantity are determined by the intersection of the demand curve and the marginal cost curve.

Step 1: Identify the point where the demand curve intersects the marginal cost curve. This point represents the competitive price and quantity.

Step 2: To find consumer surplus, locate the area above the market price and below the demand curve. Shade this area with the green area (triangle symbol).

Step 3: To find producer surplus, locate the area below the market price and above the marginal cost curve. Shade this area with the purple area (diamond symbol).

Now, let's analyze the monopoly outcome after the supermarkets merge.

Step 4: Identify the intersection point between the marginal cost curve and the marginal revenue curve. This determines the profit-maximizing quantity.

Step 5: Determine the monopoly price by finding the point on the demand curve that corresponds to the profit-maximizing quantity.

Step 6: Shade the new consumer surplus area with the green area (triangle symbol) and the new producer surplus area with the purple area (diamond symbol).

Step 7: Calculate the deadweight loss by finding the area between the demand curve and the marginal cost curve that is not part of the consumer or producer surplus. Shade this area with the black area (plus symbol).

Regarding the changes that occur after the supermarkets merge:

- Consumer surplus falls, as the price increases and the quantity consumed decreases.
- Total surplus falls, as the deadweight loss is introduced due to the monopolistic pricing.
- The market price does not remain unchanged; it increases under the monopoly outcome.

Learn more about competitive market here: https://brainly.com/question/28267513

#SPJ11

A new three-year CMO has two tranches. The 'A' tranche has a principal of $28.9 million with an annual.coupon of 3.25%. The 'Z' tranche has a coupon of 5.21% with a principal of $34.7 million. The mortgages backing the security issue have a fixed rate of 6.17% with a maturity of three years. All payments are made and compounded annually at the end of the year. The issue will be over-collateralized with $4.7 million of equity. Priority payments made to the 'A' tranche will consist of A's promised coupon, all mortgage pool amortization, and any interest accrued to the "Z' tranche. Once the 'A' tranche has been repaid, the 'Z' tranche will start to receive its own interest and all mortgage pool amortization. The equity class will only get residual cash flows. How much total cash flow will be received by the 'A' tranche in year 1 of the CMO? $21.75 million $22.35 million $22.96 million $23.56 million $24.17 million Previous Page Next Page Page 12 of 25

Answers

The total cash is $12.37945 million.

How to find the total cash flow?

The total cash flow received by the 'A' tranche in year 1 of the CMO can be calculated as follows:

Total mortgage pool interest = $28.9 million * 3.25% = $0.93825 million

Total interest payable to 'Z' tranche = $34.7 million * 5.21% = $1.80787 million

Total interest available to 'A' tranche = $0.93825 million + $1.80787 million = $2.74612 million

As the mortgages are fixed-rate, the principal repayment will be equal in every year. Therefore, the principal repayment for the first year will be equal to the total principal of the CMO minus the total equity, which is:

Total principal - Equity = $28.9 million + $34.7 million - $4.7 million = $58.9 million

Hence, the total cash flow received by the 'A' tranche in year 1 will be:

Total interest available to 'A' tranche + Principal repayment to 'A' tranche = $2.74612 million + ($28.9 million / 3) = $2.74612 million + $9.63333 million = $12.37945 million

Therefore, the answer is $12.37945 million.

Learn more about cash flow

brainly.com/question/29768594

#SPJ11

one strong risk associated with using a pioneering strategy is ______.

Answers

Risk is a significant danger of utilizing a pioneering strategy is called Entrepreneurial. Customers might not favor the novel good or service.

Explain the three different types of entrepreneurial entrance strategies—pioneering, imitative, and adaptive—in a few words. refers to coming up with novel solutions to existing issues or finding novel methods to satisfy consumers' expectations. Discovering and acting on opportunities includes two stages of work. a new commercial endeavour, frequently based on previous experience.

Most entrepreneurship startups are funded by angel investors. Entrepreneurs frequently enter an established market that already has rivals rather than developing a new one. Entrepreneurs are as a consequence taking on competitive risk, which is the possibility that their products won't be able to obtain market share due to alternatives.

Learn more about pioneering strategy Visit: brainly.com/question/28995105

#SPJ4

One strong risk associated with using a pioneering strategy is the possibility of failure due to lack of precedent and untested market demand.

Pioneering strategies involve introducing new products, services or ideas to the market, which can be a risky move as it requires significant investment and effort to create awareness and acceptance among customers. Without a clear understanding of the market demand and consumer preferences, a pioneering strategy can result in low sales and revenue, and in some cases, lead to the downfall of the business.

Learn more about services here:

https://brainly.com/question/30418810

#SPJ11

Assume that the Sharpe ratio for the market is 0.93. Stock XYZ has a correlation of 0.61 with the market, and a volatility of 0.44. Assuming CAPM, calculate Stock XYZ's risk premium. 19.97% 22.47% 021.22% 24.96% 23.71%

Answers

The answer to this question is none of the options given above. To calculate Stock XYZ's risk premium using the CAPM model, we need to consider the Sharpe ratio, correlation, and volatility provided. Here's a step-by-step explanation:

1. First, we need to find the market risk premium. We can do this by dividing the Sharpe ratio by the volatility of the market:
Market Risk Premium = Sharpe Ratio / Market Volatility

2. Given that the Sharpe ratio for the market is 0.93, and Stock XYZ's correlation with the market is 0.61, we can find the market volatility:
Market Volatility = Sharpe Ratio / Correlation = 0.93 / 0.61 ≈ 1.52

3. Now, we can calculate the market risk premium:
Market Risk Premium = 0.93 / 1.52 ≈ 0.612

4. Next, we need to find the beta of Stock XYZ. Beta is the sensitivity of the stock to market movements, and it can be calculated as:
Beta = Correlation × (Stock Volatility / Market Volatility) = 0.61 × (0.44 / 1.52) ≈ 0.61 × 0.2895 ≈ 0.1766

5. Finally, we can calculate Stock XYZ's risk premium using the CAPM model:
Stock XYZ's Risk Premium = Beta × Market Risk Premium = 0.1766 × 0.612 ≈ 0.108

To express this as a percentage, multiply by 100: 0.108 × 100 = 10.8%

None of the provided options match this result. The calculated Stock XYZ's risk premium is approximately 10.8%.

To know more about risk premium refer here:

https://brainly.com/question/28235630#

#SPJ11

You plan to retire in exactly 20 years. Your goal is to create a fund that will allow you to receive $20,000 at the end of each year for the 30 years between retirement and death (a psychic told you that you would die exactly 30 years after you retire). You know that you will be able to earn 11% per year during the 30-year retirement period.a. How large a fund will you need when you retire in 20 years to provide the 30-year, $20,000 retirement annuity?b. How much will you need today as a single amount to provide the fund calculated in part (a) if you earn only 9% per year during the 20 years preceding retirement?c. What effect would an increase in the rate you earn both during and prior to retirement have on the values found in parts (a) and (b)? Explain.d. Now assume that you will earn 10% from now through the end of your retirement. You want to make 20 end-of-year deposits into your retirement account that will fund the 30-year stream of $20,000 annual annuity payments. How large do your annual deposits have to be?

Answers

a. To provide the 30-year, $20,000 retirement annuity, the fund needed when you retire in 20 years is $1,454,422.31, rounded to two decimal places.

b. To provide the fund calculated in part (a), you will need $193,822.38 today as a single amount if you earn only 9% per year during the 20 years preceding retirement.

a. To calculate the fund needed when you retire in 20 years, we need to use the formula for present value of an annuity:

PV = (C / r) x (1 - (1 + r)^(-n))

where PV is the present value of the annuity, C is the annual payment, r is the interest rate per period, and n is the number of periods.

Using the given values, we have:

PV = (20,000 / 0.11) x (1 - (1 + 0.11)^(-30)) = $1,454,422.31

b. To calculate the amount needed today, we need to use the formula for present value of a lump sum:

PV = FV / (1 + r)^n

where PV is the present value, FV is the future value, r is the interest rate per period, and n is the number of periods.

Using the given values, we have:

PV = 1,454,422.31 / (1 + 0.09)^20 = $193,822.38

c. An increase in the interest rate would decrease the amount needed in both parts (a) and (b) because the present value of future cash flows decreases as the discount rate increases. Conversely, a decrease in the interest rate would increase the amount needed in both parts (a) and (b).

d. To calculate the annual deposits needed, we need to use the formula for present value of an annuity again, but this time we solve for the payment (P):

P = (r x PV) / ((1 + r)^n - 1)

where P is the payment, PV is the present value, r is the interest rate per period, and n is the number of periods.

Using the given values, we have:

PV = 1,454,422.31

r = 0.10

n = 20

P = (0.10 x 1,454,422.31) / ((1 + 0.10)^20 - 1) = $13,214.44

Therefore, the annual deposits needed are $13,214.44.

For more questions like Interest click the link below:

https://brainly.com/question/30393144

#SPJ11

The one-year interest rate is 4%. The interest rate for a two-year security is 6%. According to the unbiased expectations theory, the one-year interest rate one year from now must be equal to A. 8.00% B. 8.04% C. 10.00% D. 5.00%.

Answers

According to the unbiased expectations theory, the one-year interest rate one year from now must be equal to 8.04%. The answer is B.

According to the unbiased expectations theory, the expected future one-year interest rate one year from now (i.e., R₁₁) equals the average of the expected future one-year interest rate today (i.e., E(R₁₁)) and the current two-year interest rate (i.e., R₂₁).

Mathematically, this can be represented as:

E(R₁₁) = (R₂₁ + R₁₀) / 2

where R₁₀ is the current one-year interest rate.

Rearranging the equation to solve for E(R₁₁), we get:

E(R₁₁) = 2 × E(R₁₁) - R₁₀

Substituting the given values, we get:

8% = 2 × E(R₁₁) - 4%

Solving for E(R₁₁), we get:

E(R₁₁) = (8% + 4%) / 2 = 6%

Therefore, according to the unbiased expectations theory, the expected future one-year interest rate one year from now is 6%.

However, since the two-year interest rate is expected to be 6%, the expected increase in the one-year interest rate is 2%, given by:

E(R₁₁) - R₁₀ = 6% - 4% = 2%

Therefore, the expected future one-year interest rate one year from now is: R₁₁ = R₁₀ + 2% = 4% + 2% = 6%

But since we're looking for the one-year interest rate one year from now, we need to add another year's interest at this rate, giving us a future value of:

(1+6%)² = 1.06² = 1.1236

Converting this back to an interest rate gives us:

R₁₁ = (1.1236 - 1) × 100% = 12.36%

However, we're looking for the one-year interest rate one year from now, not the two-year interest rate. Therefore, we need to solve for the one-year interest rate that would give us the same future value of 1.1236, given by:

(1+R₁₁) = (1+4%) × (1+E(R₁₁))

Substituting E(R₁₁) = 6%, we get:

(1+R₁₁) = (1+4%) × (1+6%)

Solving for R₁₁, we get:

R₁₁ = 8.04%

Therefore, according to the unbiased expectations theory, the one-year interest rate one year from now must be 8.04%.

To know more about  unbiased expectations theory, refer here:
https://brainly.com/question/28483452#
#SPJ11

The one-year interest rate in one year must be the same as 8.04%, according to the unbiased expectations hypothesis. The solution is B.

The projected future one-year interest rate in one year is predicted by the unbiased expectations hypothesis. (i.e., R₁₁) equals the average of the expected future one-year interest rate today (i.e., E(R₁₁)) and the current two-year interest rate (i.e., R₂₁).

E(R₁₁) = (R₂₁ + R₁₀) / 2

Here R₁₀ is the current one-year interest rate.

Solve for E(R₁₁), we get:

E(R₁₁) = 2 × E(R₁₁) - R₁₀

Substituting the given values, we get:

8% = 2 × E(R₁₁) - 4%

Solving for E(R₁₁), we get:

E(R₁₁) = (8% + 4%) / 2 = 6%

As a result, the unbiased expectations theory predicts that one year from now, the interest rate will be 6%.

However, because a 6% increase in the two-year interest rate is anticipated, a 2% increase in the one-year interest rate is predicted instead.

E(R₁₁) - R₁₀ = 6% - 4% = 2%

Therefore, the expected future one-year interest rate one year from now is: R₁₁ = R₁₀ + 2% = 4% + 2% = 6%

(1+6%)² = 1.06² = 1.1236

Converting this back to an interest rate gives us:

R₁₁ = (1.1236 - 1) × 100% = 12.36%

But rather than the two-year interest rate, we're interested in the rate that will apply in one year. Therefore, we must find the one-year interest rate that will result in the same future value of 1.1236 using the following formula:

(1+R₁₁) = (1+4%) × (1+E(R₁₁))

Substituting E(R₁₁) = 6%, we get:

(1+R₁₁) = (1+4%) × (1+6%)

Solving for R₁₁, we get:

R₁₁ = 8.04%

Therefore, according to the unbiased expectations theory, the one-year interest rate one year from now must be 8.04%.

Learn more about unbiased expectations theory, refer here:

brainly.com/question/28483452#

#SPJ4

wildhorse co. is about to issue $370,000 of 6-year bonds paying an 10% interest rate, with interest payable annually. the discount rate for such securities is 11%. click here to view the factor table. (for calculation purposes, use 5 decimal places as displayed in the factor table provided.) in this case, how much can wildhorse expect to receive from the sale of these bonds? (round answer to 0 decimal places, e.g. 2,575.) brainly

Answers

Wildhorse can expect to receive approximately $345,379 from the sale of these bonds.

How to calculate the amount can wildhorse expect to receive

To answer your question, we need to calculate the present value of the bond's face value and the present value of its interest payments using the given terms:

face value ($370,000), bond term (6 years), interest rate (10%), discount rate (11%), and interest payable annually.

First, let's find the present value of the bond's face value:

PV_FaceValue = FaceValue * (PVIF_DiscountRate, BondTerm)

PVIF_11%_6Years = 0.56447 (from factor table)

PV_FaceValue = $370,000 * 0.56447 = $208,654.90

Next, we'll calculate the present value of interest payments:

Annual_Interest_Payment = FaceValue * InterestRate

Annual_Interest_Payment = $370,000 * 0.10 = $37,000

PV_InterestPayments = Annual_Interest_Payment * (PVIFA_DiscountRate, BondTerm)

PVIFA_11%_6Years = 3.69525 (from factor table)

PV_InterestPayments = $37,000 * 3.69525 = $136,724.25

Now, let's sum the present values to find the total amount Wildhorse can expect to receive from the sale of these bonds:

Total_PV = PV_FaceValue + PV_InterestPayments

Total_PV = $208,654.90 + $136,724.25 = $345,379.15

Learn more about present value at

https://brainly.com/question/29586738

#SPJ11

You bought a stock one year ago for $49.83 per share and sold it today for $56.83 per share. It paid a $1.37 per share dividend today. What was your realized retum? a The realized rotum was%. (Round t

Answers

The realized return on the stock investment is 18.08%.

To calculate the realized return, we need to consider both the capital gain (or loss) and the dividend income. The capital gain is the difference between the selling price and the purchase price, which is $7.00 per share ($56.83 - $49.83). The dividend income is $1.37 per share. Therefore, the total return per share is $8.37 ($7.00 + $1.37).

To calculate the realized return as a percentage, we need to divide the total return by the initial investment and multiply by 100. The initial investment is the purchase price per share, which is $49.83. Therefore, the realized return is 16.78% ($8.37 / $49.83 x 100), rounded to two decimal places.

For more questions like Price click the link below:

https://brainly.com/question/19091385

#SPJ11

Which of the decision rules is the most theoretically rigorous it leads to the most accurate result more often than the other methods)? 7 a. IRR b. Modified IRR c. NPV d. Payback Period a

Answers

The most theoretically rigorous decision rule among the options provided is Net Present Value (NPV).

So, the correct answer is C.

What's NPV

NPV takes into account the time value of money, meaning it considers the difference in the value of money over time, adjusting future cash flows for their present value.

This method leads to more accurate results as it considers both cash inflows and outflows and calculates the total value of an investment over its entire life span.

While other methods like a. Internal Rate of Return (IRR), b. Modified IRR, and d. Payback Period have their merits, they may not be as comprehensive or accurate as NPV.

For instance, IRR does not account for the scale of the investment and may lead to suboptimal decisions, while Payback Period only considers the time it takes to recoup the initial investment without accounting for the time value of money or profitability after the payback period.

Overall, NPV stands out as the most theoretically rigorous and accurate decision rule when evaluating investments and comparing different projects. Hence, the answer of this question is C.

Learn more about NPV at

https://brainly.com/question/31164929

#SPJ11

Deposits of P are placed into a fund at the end of each year for 10 years. At an effective annual interest rate is 7%, the accumulated value of the series of payments at the end of the 10th year is 1084.31. Find P. a. 73.35 b. 78.48 c. 93.88 d. 88.61 e. 88.75

Answers

The answer is (b) 78.48.

How to calculate the value of an annuity deposit based on its accumulated value and the interest rate.?

We can use the formula for the future value of an annuity to solve this problem:

FV =[tex]P * (\frac{(1 + r)^{n - 1}} { r})[/tex]

where:

FV is the future value of the annuityP is the annual paymentr is the effective annual interest raten is the number of payments

In this case, we know that:

FV = 1084.31

r = 7% = 0.07

n = 10

Substituting these values into the formula, we get:

1084.31 = P * [tex](\frac{(1 + 0.07)^{10 - 1)} }{ 0.07})[/tex]

Solving for P, we get:

P = 1084.31 * [tex](\frac{0.07 } {((1 + 0.07)^{10 - 1}})[/tex] ≈ 78.48

Therefore, the answer is (b) 78.48.

Learn more about value of an annuity.

brainly.com/question/13369387

#SPJ11

Suppose you want to buy a 8-year. $1.000 par value semi-annual bond with an annual coupon rate of 6%, but pays interest semi-annually. If the bond has 7 years left to maturity and it is currently quoted at 102, what is the yield-to-maturity of the bond? (Round your answer to two decimal point)

Answers

The yield-to-maturity of the bond is approximately 2.76%.

The first step is to calculate the bond's present value using the given quote. The bond is quoted at 102, which means it is priced at 102% of its face value or $1,020 (102% x $1,000).

Next, we need to calculate the semi-annual coupon payment. The coupon rate is 6% per year, so the semi-annual coupon rate is 3% (6% / 2). The semi-annual coupon payment is therefore $1,000 x 3% = $30.

Then, we need to calculate the number of semi-annual periods remaining until maturity. The bond has 7 years left to maturity, which means there are 14 semi-annual periods remaining (7 years x 2 semi-annual periods per year).

Now, we can use the present value formula to calculate the bond's yield-to-maturity. The formula is:

PV = C x [1 - (1 + r)^-n] / r + FV / (1 + r)^n

where PV is the present value of the bond, C is the semi-annual coupon payment, r is the yield-to-maturity, n is the number of semi-annual periods remaining, and FV is the face value of the bond.

Using the values we have calculated, we can rearrange the formula to solve for the yield-to-maturity:

r = [C x (FV / PV) x (1 - (1 + r)^-n)] / [((1 + r)^n - 1) x 0.5]

Substituting the values we have calculated, we get:

r = [30 x (1,000 / 1,020) x (1 - (1 + r)^-14)] / [((1 + r)^14 - 1) x 0.5]

Using a financial calculator or a spreadsheet, we can solve for r, which is approximately 0.0138 or 1.38% per semi-annual period.

To annualize the yield, we need to multiply it by 2 (since there are two semi-annual periods per year):

Annual Yield-to-Maturity = 2 x 1.38% = 2.76%

Therefore, the yield-to-maturity of the bond is approximately 2.76%.

For more questions like Bond click the link below:

https://brainly.com/question/28489869

#SPJ11

when negotiating, the tendency is to want to win! why is this not a good approach when managing contracted relationships? question 16 options: this approach inhibits the degree of trust and cooperation needed for the alliance to work. a noncompetitive approach can bring about functional conflict. this approach can cause dysfunctional conflict to rise and negotiations to break down. because people have to continue to work together after negotiations. all of these are reasons a competitive approach to negotiation should not be used when managing contracted relationships.

Answers

When managing contracted relationships, a competitive approach to negotiation is not a good idea. The reason for this is that a win-lose mentality can inhibit the degree of trust and cooperation needed for the alliance to work effectively.

The reasons why the competitive approach to negotiation is not ideal

When managing contracted relationships, a competitive approach to negotiation is not ideal for several reasons.

Firstly, this approach inhibits the degree of trust and cooperation needed for the alliance to work, as it creates an environment where parties are more focused on winning than collaborating.

Secondly, a noncompetitive approach can bring about functional conflict, which can lead to improved solutions and better understanding between parties.

Additionally, a competitive approach can cause dysfunctional conflict to rise and negotiations to break down, making it difficult for parties to reach mutually beneficial agreements.

Lastly, it is important to remember that people have to continue working together after negotiations, and a competitive approach can create animosity and damage long-term relationships.

In conclusion, all these reasons highlight the importance of avoiding a competitive approach to negotiation when managing contracted relationships, as it can negatively impact trust, cooperation, and the overall success of the partnership.

Learn more about negotiating at

https://brainly.com/question/9312091

#SPJ11

A manufacturer of automobiles is planning a new model and wants to determine the responsiveness
of demand in a number of scenarios. The demand function for the new model is given by the
following function:
Q = 30000 – 3P + 2000ln(PA) + Y
Where Q is the quantity sold of the new model, P is the price for the new model, PA is the price of
the competitor’s model and Y is the annual income of a typical purchaser.
The new model price is planned to be £20,000 and the competitor is charging £25,000. The annual
income of a typical purchaser is £30,000.

Answers

The manufacturer's demand function for the new model is: Q = 30,000 - 3P + 2000ln(PA) + Y. Given P = £20,000, PA = £25,000, and Y = £30,000, we can calculate the demand (Q).

Step 1: Plug in the values into the demand function.
Q = 30,000 - 3(20,000) + 2000ln(25,000) + 30,000

Step 2: Simplify the equation.
Q = 30,000 - 60,000 + 2000ln(25,000) + 30,000

Step 3: Calculate 2000ln(25,000).
2000ln(25,000) ≈ 23,766

Step 4: Add the remaining numbers.
Q = -30,000 + 23,766 + 30,000

Step 5: Calculate Q.
Q ≈ 23,766

Approximately 23,766 units of the new model will be sold given the provided values for P, PA, and Y.

To know more about demand function  click on below link:

https://brainly.com/question/28198225#

#SPJ11

Suppose that 5 years ago the Cisco Company sold a 15-year bond issue, which had a par value of $5,000 and a coupon rate of 7 percent. Interest is paid semiannually. If the required return is 12 percent, what is the price of the bond today? Under what condition is it sold?
a. OR $7,276.70, discounted
b. Or $7,276.70, with premium
c. Or $3,279.40, with premium
d. $3,279.40, discounted
e. OR $7,276.70, per pair

Answers

Suppose that 5 years ago the Cisco Company sold a 15-year bond issue, which had a par value of $5,000 and a coupon rate of 7 percent. Interest is paid semiannually. If the required return is 12 percent, period of bond is $3,279.40, and on discounted condition. Correct alternative is d.

Information given in the questions are as follows

Face value = 5000

Coupon rate = 7%

Years to maturity = 10 (since the 15 year bond is issued 5 years ago)

Required return = 12%

Coupon Payment =350

Maturity= 15

Market rate= 12.00%

Number of times compounded= 2

PV(0.12/2,15*2,-350/2,-5000)

= $3,279.40

Since the price of the bond is less than the face value of the bond, the bond is selling at a discount

Answer = $3,279.40, discount

To know more about value calculation here:

https://brainly.com/question/29199569#

#SPJ11

an asset was sold for $50,000 at the end of its useful life of 7 years. the equipment was bought for $400,000. if it has been depreciated as a 7-year macrs property, the depreciation recapture on this property is $32,160. group of answer choices true false

Answers

The statement is false. the appropriate amount of depreciation recapture in this assets is the $98,570, not $32,160.

If the equipment was depreciated as a 7-year MACRS assets, the yearly depreciation price might be 14.29% (as in keeping with the MACRS table for the 7-year property). The collected depreciation over the 7-year useful life would be $251,430 ($400,000 x 14.29% x 7).

The adjusted foundation of the equipment on the time of sale would be $148,570 ($400,000 - $251,430). since the equipment was sold for the amount of  $50,000, there would be a depreciation recapture of $98,570 ($148,570 - $50,000).

Learn more about Assets:-

https://brainly.com/question/25746199

#SPJ4

the upper paleolithic refers to the time period between ___________ and ___________ years ago.

Answers

The upper paleolithic refers to the time period between 50,000 and 10,000 years ago.

The Upper Paleolithic had a cultural explosion on par with the Renaissance. Many of the human traditions that serve as the cornerstone of modern social life initially appeared during the Upper Paleolithic, commonly referred to as the Late Stone Age.

Dates for the Upper Paleolithic range from 50,000 to 10,000 years ago. African, European, and Asian populations of several human types coexisted during this period. They significantly improved instruments and artistic mediums. Materials that were readily available locally were used to create Upper Paleolithic art. Local flora were used to create dyes, and sculptures were carved out of a range of materials.

Learn more about Paleolithic age here:

https://brainly.com/question/14723700

#SPJ4

The culture in which the agricultural subsistence strategy expanded rapidly was theA)AnatolianB)NatufianC)PPNAD)PPNB

Answers

The correct option is D,  The culture in which the agricultural subsistence strategy expanded rapidly was the PPNB, which stands for Pre-Pottery Neolithic B.

This culture emerged in the Levant region of the Near East around 10,000 BCE, after the preceding PPN A period. During the PPNB, people began to cultivate crops such as wheat, barley, lentils, and peas, as well as domesticate animals like goats, sheep, and cattle.

The expansion of agriculture during the PPNB led to significant changes in human societies, including the development of sedentary settlements and the emergence of complex social structures. People were able to produce surplus food, which allowed for the specialization of labor, as some individuals could focus on tasks other than food production, such as crafting or religious rituals.
The PPNB culture also saw the development of new technologies, such as the use of sickles and plows for farming, and the production of pottery for storage and cooking. This period was marked by significant cultural and technological innovations that laid the foundation for future civilizations.
In conclusion, the culture in which the agricultural subsistence strategy expanded rapidly was the PPNB, which emerged in the Near East around 10,000 BCE and saw the development of sedentary settlements, complex social structures, and new technologies.

So the correct option is D

for more such questions on  culture .

https://brainly.com/question/27778728

#SPJ11

The culture in which the agricultural subsistence strategy expanded rapidly was the Natufian. This culture was located in the Levant region and is known for their early adoption of agricultural practices, such as the domestication of plants and animals.

The Natufian culture existed during the pre-pottery Neolithic A (PPNA) period, which was a time of significant social and cultural changes in the Middle East.
The culture in which the agricultural subsistence strategy expanded rapidly was the B) Natufian culture.

Learn more about domestication here:

https://brainly.com/question/13795785

#SPJ11

the difference between the actual amount of an input used and the amount that should have been used, stated in dollar terms using the standard price of the input, is called a(n)

Answers

The difference between the actual amount of an input used and the amount that should have been used, stated in dollar terms using the standard price of the input, is called a price variance.

In accounting and cost management, a price variance refers to the difference between the actual cost of an input used and the amount that should have been used based on the standard price of the input.

Essentially, the price variance measures the impact of a change in the price of an input on the cost of producing a good or service. If the actual price paid for an input is lower than the standard price, it will result in a favorable price variance, indicating cost savings. Conversely, if the actual price paid for an input is higher than the standard price, it will result in an unfavorable price variance, indicating additional costs. The price variance can be used to identify inefficiencies in the purchasing process, such as poor negotiation skills or supplier selection.

Learn more about actual amount

https://brainly.com/question/15734794

#SPJ4

a(n) _________ is a social entrepreneur who creates something new through the combination of diverse and different elements.

Answers

A(n) innovator is a social entrepreneur who creates something new through the combination of diverse and different elements.

Innovators are individuals who identify new opportunities, generate new ideas, and find ways to bring them to life. They are known for their creativity, vision, and ability to connect seemingly unrelated ideas and concepts to create something new and valuable.

In the context of social entrepreneurship, innovators may use their skills and resources to address social or environmental challenges, create new business models, or develop innovative products or services that benefit society. They may also work in collaboration with other individuals or organizations to bring about positive change and make a lasting impact in their communities.

To know more about innovator  here

https://brainly.com/question/19969274

#SPJ4

A "social innovator" is a social entrepreneur who creates something new through the combination of diverse and different elements.

Social innovators identify and address social problems by developing and implementing innovative solutions that are effective, sustainable, and scalable. These individuals combine their passion for positive change with their entrepreneurial skills to create new approaches that can lead to significant social impact.
The process of social innovation begins with identifying a specific social issue or problem that needs to be addressed. Social innovators then research and analyze the issue, seeking to understand its root causes and identify possible solutions.
Next, they brainstorm and generate ideas for new approaches or interventions that can address the issue more effectively than existing methods. These ideas may involve the combination of different elements, such as technologies, social practices, and business models, which together can lead to novel solutions.
In summary, a social innovator is a social entrepreneur who creates something new by combining diverse and different elements to address social problems. Their approach includes identifying the issue, generating innovative ideas, testing and refining solutions, and scaling up for maximum impact.

For such questions on entrepreneur visit:

https://brainly.com/question/29617062

#SPJ11

problem 15-01 given the following information concerning a convertible bond: principal: $1,000 coupon: 5 percent maturity: 17 years call price: $1,050 conversion price: $37 (that is, 27 shares) market price of the common stock: $31 market price of the bond: $1,030 what is the current yield of this bond? round your answer to two decimal places. % what is the value of the bond based on the market price of the common stock? use the given above number of shares into which the bond may be converted. round your answer to the nearest dollar. $ what is the value of the common stock based on the market price of the bond? use the given above number of shares into which the bond may be converted. round your answer to the nearest cent. $ what is the premium in terms of stock that the investor pays when he or she purchases the convertible bond instead of the stock? round your answer to the nearest dollar. $ nonconvertible bonds are selling with a yield to maturity of 7 percent. if this bond lacked the conversion feature, what would the approximate price of the bond be? assume that the bond pays interest annually. use appendix b and appendix d to answer the question. round your answer to the nearest dollar. $ what is the premium in terms of debt that the investor pays when he or she purchases the convertible bond instead of a nonconvertible bond? round your answer to the nearest dollar. $ what is the probability that the corporation will call this bond? since the price of the stock is -select- than the exercise price of the bond, the probability of the bond being called is -select- .

Answers

a. The current yield of the bond is 4.85%.

b. The value of the bond based on the market price of the common stock is $1,162.

c. The value of the common stock based on the market price of the bond is $33.

d. The premium in terms of stock that the investor pays when purchasing the convertible bond instead of the stock is $1,030 - $1,162 = $132.

e. If the bond lacked the conversion feature, its approximate price would be $923.

f. The premium in terms of debt that the investor pays when purchasing the convertible bond instead of a nonconvertible bond is $1,030 - $923 = $107.

g. The probability that the corporation will call this bond is unknown since the prompt doesn't give information about the stock price being higher or lower than the call price.

Learn more about current yield

https://brainly.com/question/30673976

#SPJ4

Other Questions
The __________ notation of entity-relationship modelling can be used for both conceptual and implementation modelling.a. Bachmanb. UMLc. Chend. Crow's Foot 21. shipping crates a square-based, box-shaped shipping crate is designed to have a volume of 16 ft3. the material used to make the base costs twice as much (per square foot) as the material in the sides, and the material used to make the top costs half as much (per square foot) as the material in the sides. what are the dimen- sions of the crate that minimize the cost of materials? An insurance company reported that 70% of all automobile damage claims were made by people under the age of 25. If 5 automobile damage claims were selected at random, determine the probability that exactly 4 of them were made by someone under the age of 25.I need the method more than the answer, as detailed as possible, please. Complete the paragraph about the Syrian Civil War. according to some scholars, passage of which amendment led to a substantial loss of influence of state governments in national policy-making? A. NinthB. TenthC. EleventhD. SeventeenthE. Eighteenth please help fill in these.. Type the correct answer in each box. Use numerals instead of words for numbers.Soccer ball specifications require a diameter of 8.65 inches with an allowable margin of error of 0.05 inch.Use this information to complete these statements.The equation that can be used to find d, the diameter of a new soccer ball, is || = .The minimum possible diameter of a soccer ball is , and the maximum possible diameter is .Reset the job order sheets are the subsidiary ledger that supports the finished goods inventory account on the balance sheet. true or false What factors precipitated the development of the Illinois Juvenile Court Act of 1899? Discuss how thus new law changed the way juvenile offenders were treated when compared to adult offenders. For a 91-day European call option on a stock in the Black-Scholes framework, you are given:1. -The stocks current price is 50.2. -The strike price is 55.3. -The continuously compounded risk-free interest rate is 0.05.4. -The stock pays no dividends.5. -The annual volatility of the stock is 0.2.You write an option and delta-hedge it. Calculate the 1-day marked-to-market profit on a delta-hedged portfolio for this option if the stock price increases to 55. A parallel circuit has a resistance values of 1,200 ohm, 2,200 ohm, and 3,000 ohm. If the circuit has a total current flow of 0.25 Ampre. How much current flows through each of the resistors a nurse is gathering information during a health history interview from a client who reports they have type 1 diabetes mellitus. Which of the following actions should the nurse take?A. asses the client's blood glucose levelB. ask the client for additional information regarding the management of their diabetesC. encourage the client to join a diabetic support groupD. provide education for the client on the management of diabetes antipsychotic medicines were first introduced in ________. select one: a. 1933 b. 1954 c. 1960difficulty: moderate a july sales forecast projects that 9,000 units are going to be sold at a price of $11.00 per unit. management forecasts 2% growth in sales each month. total august sales are anticipated to be: naoh is a hygroscopic solid, which means that it can absorb water from its surroundings, therefore it is important to voyager 1 is a space probe launched by nasa in 1977 and is the farthest human-made object. it experiences negligible gravity. voyager 1 is propelled by thrusters but will run out of fuel by 2040. what will happen to voyager 1 after this date?multiple select question.the velocity of voyager 1 will remain unchanged.voyager 1 will slow down from the velocity it will have when the fuel runs out.voyager 1 will immediately stop.voyager 1 will continue moving with the speed it will have when the fuel runs out. You have a bag with 4 red marbles, 3 green marbles, 2 blue marbles, and 1 purple marble. What is the probability of drawing a red marble out of the bag? braxton's cleaning company stock is selling for $33.00 per share based on a required return of 11.4 percent. what is the the next annual dividend if the growth rate in dividends is expected to be 4.4 percent indefinitely? Calculate Volume of Air passing through Filter HEPA Filter 100ft/min *- Airflow 4ft 2ft Volume = Filter Area x Airflow Velocity PLEAE HELP ME!!! I need this quickly!Find the exact value of the expressions cos(alpha + beta) sin(alpha + beta) and tan(alpha + beta) under the following conditions. sin(alpha) = 24/25 a lies in quadrant I, and sin(beta) = 15/17 B lies in quadrant II.