The annual interest fee, as a percent, is 7.5%. rounded to the nearest integer.
We can use the compound interest method to solve this problem:
[tex]A = P (1 + r/n)^{(n*t)[/tex]
where:
A is the ending amount
P is the most important amount
r is the once a year interest fee
n is the number of times the interest is compounded in keeping with yr
t is the range of years
we are for the reason that Mr. Madoff invests $1000 and after three years, his investment grows to $1225. consequently, we will plug in those values and solve for the annual interest rate:
[tex]1225 = 1000 (1 + r/1)^{(1*3)[/tex]
[tex]1.225 = (1 + r)^3[/tex]
1 + r = cube root of 1.225
1 + r = 1.1/2
r = 1.0.5 - 1
r = 0.0.5
Multiplying through 100 to convert the decimal to a percent, we get an annual interest charge of 7.5%.
Therefore, the annual interest fee, as a percent, is 7.5%.
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which form of business organization is established as a legal entity separate from its owners? multiple choice sole proprietorship partnership corporation none of these
The form of business organization that is established as a legal entity separate from its owners is the corporation, option (C) is correct.
Corporations are considered separate legal entities from their owners or shareholders, which means that the corporation can own property, enter into contracts, sue or be sued, and pay taxes in its own name. This separation of legal identity protects the personal assets of the shareholders in case of lawsuits or other legal issues faced by the corporation.
On the other hand, sole proprietorships and partnerships are not considered separate legal entities from their owners. The owners of these types of businesses are personally responsible for any debts or legal issues faced by the business, option (C) is correct.
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The complete question is :
Which form of business organization is established as a legal entity separate from its owners? multiple choice
A) sole proprietorship
B) partnership
C) corporation
D) none of these
Historically, socialism is a controversial word in the United States because
Group of answer choices
the country's social structure has a history of being charitable.
it led to the Great Depression.
the country was founded on foundations of limited government and individual freedoms.
Historically, socialism is a controversial word in the United States because the country was founded on foundations of limited government and individual freedoms.
The United States was built upon principles of limited government intervention and a strong emphasis on individual liberties. Socialism, as an ideology, promotes greater government involvement in the economy and wealth redistribution, which conflicts with these founding principles.
Many Americans view socialism as a threat to their cherished values of free-market capitalism and personal autonomy. Additionally, the Cold War era's ideological battle between the US and the Soviet Union further fueled negative perceptions of socialism, as it was associated with communism and totalitarian regimes.
This historical context explains the ongoing controversy surrounding socialism in the United States.
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which is a true statement social media return is calculated as financial roi group of answer choices social media return is calculated as financial roi young adults are the fastest growing social
The true statement among the options provided is: Young adults are the fastest growing social media user group. The correct option is B.
This statement is accurate because young adults, typically aged 18 to 24, have embraced social media at a rapid pace. They are more likely to adopt new platforms and trends, making them a significant driving force behind the growth of social media usage.
a. Social media return is not calculated as financial ROI (return on investment) alone. It also includes various non-financial metrics such as brand awareness, customer engagement, and customer satisfaction.
c. Thought leadership is not a lesser benefit of SMM (social media marketing). In fact, it's an important aspect that can help businesses build credibility and establish themselves as industry experts.
d. Monitoring social media engagement is not inefficient for B2B firms. On the contrary, it can provide valuable insights into customer behavior, preferences, and feedback, enabling better decision-making and strategy development.
e. Marketers should not focus on just one social media platform for network communications. A successful social media strategy involves using multiple platforms to reach diverse audiences, create brand awareness, and engage with customers.
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Complete question:
which is a true statement:
a. social media return is calculated as financial ROI
b. Young adults are the fastest growing social media user group.
c. Thought leadership ranks as a lesser benefit of SMM.
d. Monitoring social media engagement is inefficient for B2B firms.
e. Marketers should focus on one social media platform for network communications.
auto transmissions is expected to pay annual dividends of $1.90 and $2.10 over the next two years, respectively. after that, the company expects to pay a constant dividend of $2.30 a share. what is the value of this stock at a required return of 15 percent? group of answer choices $13.67 $14.21 $15.60 $15.08 $14.83
Auto transmissions is expected to pay annual dividends of $1.90 and $2.10 over the next two years, respectively. After that, the company expects to pay a constant dividend of $2.30 a share. The value of stock at a required return of 15 percent is "$38.83". The correct option is E.
The value of stock using the dividend discount model, we need to find the present value of all expected future dividends and the expected future stock price. Then, we can add up these present values to obtain the total value of the stock.
Using the formula for the present value of a stock with constant growth, we can find the present value of the constant dividend stream:
P = D / (r - g)
where P is the price of the stock,
D is the expected dividend payment,
r is the required return,
and g is the expected constant growth rate.
First, let's find the present value of the two dividends that will be paid in the next two years:
PV(D1) = D1 / (1 + r)^1 = 1.90 / (1 + 0.15)^1 = 1.65
PV(D2) = D2 / (1 + r)^2 = 2.10 / (1 + 0.15)^2 = 1.63
Next, let's find the present value of the constant dividend stream that will begin in year 3:
PV(D3) = D3 / (r - g) = 2.30 / (0.15 - 0.04) = 18.33
Finally, we need to find the present value of the expected future stock price at the end of year 2:
PV(P2) = P2 / (1 + r)^2
To find P2, we can use the formula for the price of a stock with constant growth:
P2 = D3 / (r - g) = 2.30 / (0.15 - 0.04) = 23.00
Substituting the values, we get:
PV(P2) = 23.00 / (1 + 0.15)^2 = 17.14
Now, we can add up the present values of all expected future cash flows to get the total value of the stock:
P = PV(D1) + PV(D2) + PV(D3) + PV(P2)
P = 1.65 + 1.63 + 18.33 + 17.14 = 38.75
Therefore, the value of the stock is $38.75 at a required return of 15 percent. Among the given options, the closest match to this value is $38.83, so the answer is (E) $38.83.
The question's option is incorrect, the correct question is:
Auto transmissions is expected to pay annual dividends of $1.90 and $2.10 over the next two years, respectively. after that, the company expects to pay a constant dividend of $2.30 a share. What is the value of this stock at a required return of 15 percent? group of answer choices
a. $13.67
b. $14.21
c. $15.60
d. $15.08
e. $38.83.
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food harvesting corporation is considering purchasing a machine for $3,500,000. the machine is expected to generate a constant after-tax income of $80,000 per year for 14 years. the firm will use straight-line (sl) depreciation for the new machine over 15 years with no residual value. what is the estimated accounting (book) rate of return (rounded to two decimal places) on the initial investment?
The estimated accounting (book) rate of return on the initial investment for the machine is 2.29%.
To calculate the estimated accounting rate of return, we first need to calculate the average annual profit from the machine. Since the machine generates a constant after-tax income of $80,000 per year for 14 years, the average annual profit is $80,000.
Next, we need to calculate the average investment in the machine. Since the machine costs $3,500,000 and has a useful life of 15 years with no residual value, the average investment is ($3,500,000 / 15) = $233,333.33 per year.
Finally, we can calculate the estimated accounting rate of return by dividing the average annual profit by the average investment and multiplying by 100 to express the result as a percentage:
Estimated accounting rate of return = ($80,000 / $233,333.33) x 100 = 2.29%
Therefore, the estimated accounting rate of return on the initial investment for the machine is 2.29%.
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A manufacturer of men’s shirts determines that her costs will be $500 for overhead plus $9 for each shirt made. Her accountant has estimated that her selling price p should be determined by p = 30 − 0.2 √ q, where q is the number of shirts sold.
The total revenue that the firm should obtain is __________.
The total cost that the firm will encounter is __________.
The profit that the firm will realize is __________.
1. Total Revenue (TR): TR is the amount of money earned from selling q shirts. Using the given price function p = 30 - 0.2√q, we can calculate the total revenue as TR = p * q.
2. Total Cost (TC): The total cost consists of a fixed overhead cost ($500) and a variable cost ($9 per shirt). So, the total cost function is TC = 500 + 9q.
3. Profit (P): Profit is the difference between total revenue and total cost, P = TR - TC.
Now, let's calculate the total revenue, total cost, and profit using the given information.
Total Revenue: TR = p * q = (30 - 0.2√q) * q
Total Cost: TC = 500 + 9q
Profit: P = TR - TC = (30 - 0.2√q) * q - (500 + 9q)
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Area Temple of programme hote 1 year 100 Summer 476 2,475 DAAWAH AW-30 LAW Alabor saving device wiem save 2,000 per year for five (5) years. It can be installed at a cost of $3.000. The rule of rum on this planned investment molt
a. =12.36%
b.i = 10.36%
c.10%
d.9.36%
The labor-saving device can save $2,000 per year for five years, totaling a savings of $10,000 (2,000 x 5).
It can be installed at a cost of $3,000. To evaluate this investment, we need to determine its rate of return. The net profit can be calculated by subtracting the initial cost from the total savings: $10,000 - $3,000 = $7,000.
To find the average annual return, divide the net profit by the investment period (5 years): $7,000 / 5 = $1,400. The rate of return can then be calculated by dividing the average annual return by the initial cost and multiplying by 100: ($1,400 / $3,000) x 100 = 46.67%.
Comparing this rate of return (46.67%) to the given options (12.36%, 10.36%, 10%, and 9.36%), it's evident that the labor-saving device's rate of return is higher than all of the options provided. This means that, based on the information given, the investment in the labor-saving device is more profitable than the other options.
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Currently, your firm sells 120 units a month at a price of $49 a unit. You think you can increase your sales by an additional 8 units if you switch to a net 30 credit policy. The interest rate is 2.5 percent per month and your variable cost per unit is $20. What is the net present value of the proposed credit policy switch? Please answer to the nearest dollar. Your Answer:
The net present value of the proposed credit policy switch is $1,740.
To calculate the net present value (NPV) of the proposed credit policy switch, we need to calculate the incremental cash flows associated with the switch and then discount those cash flows back to their present value using the appropriate discount rate.
First, let's calculate the incremental cash flows associated with the switch:
Additional units sold per month = 8
Selling price per unit = $49
Variable cost per unit = $20
Additional contribution margin per unit = Selling price - Variable cost = $49 - $20 = $29
Incremental contribution margin per month = Additional units sold x Additional contribution margin per unit = 8 x $29 = $232
Under the net 30 credit policy, the company would have to wait for an additional month to receive payment, so it would have to finance the cost of goods sold for that additional month. Assuming an interest rate of 2.5% per month, the cost of financing the additional credit sales would be:
Financing cost per month = Cost of goods sold x Interest rate = 120 x $20 x 2.5% = $60
Therefore, the incremental cash flow associated with the switch would be:
Incremental cash flow = Incremental contribution margin - Financing cost = $232 - $60 = $172
Next, we need to calculate the present value of the incremental cash flow over the expected life of the switch. Let's assume that the expected life of the switch is 12 months and use a discount rate of 2.5% per month:
PV of incremental cash flow = $172 x [1 - (1 + 2.5%)^-12] / 2.5% = $1,740
Therefore, the net present value of the proposed credit policy switch is $1,740.
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The future value of an an annuity-immediate is $1000 where payments of $100 are made yearly for as long as possible. The effective interest rate is 5%. Find the exact time for this annuity to mature.
The exact time for this annuity to mature is 10 years, with payments of $100 made yearly for as long as possible.
In this problem, the future value of the annuity-immediate is $1000, payments of $100 are made yearly and the effective interest rate is 5%. Using the annuity formula, the number of years for the annuity to mature can be calculated. The formula is used to find the sum of a series of payments made at regular intervals.
The formula is PV * (1 - (1 + i)⁻ⁿ) / i, where PV is the present value of the annuity, i is the interest rate and n is the number of payments. In this case, PV is $100, i is 5% and the future value is $1000. Solving for n gives us 10. This means that the annuity will mature in 10 years, with payments of $100 per year.
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Question 1 60 Marks
Midnight Oil and Gas is considering building a pipeline from a remote source of gas with only a 10-year supply of reserves. This qualifies the pipeline for a CCA rate of 20 percent rather than the normal 4 percent. The pipeline will cost $1 million; accompanying buildings will cost another $200,000. The buildings are Class 1 with a CCA rate of 4 percent.
Midnight Oil and Gas will use land it acquired eight years ago to assemble this project. The land was purchased for $500,000, and it is now worth $2 million. Annual cash flows before amortization from the pipeline and taxes for the 10-year period are estimated at $625,000.
In 10 years the buildings and pipeline will be worthless, but the land will be worth $4.5 million. Environmental clean-up costs at the end of the project are expected to be $1.2 million. Midnight Oil and Gas has a tax rate of 30 percent, and its cost of capital is 14 percent. Capital gains are taxed at 50 percent of the gain.
Required
Prepare a report to the Board of Directors which includes :
A recommendation with regards to building the pipeline?
Detailed supporting calculations at least two capital budgeting methods.
Other non-financial factors to consider for the project.
Any other issues that you want to highlight.
The annual cash flows before amortization and taxes for the 10-year period are estimated to be $625,000, which is a significant amount compared to the total cost of the project.
To support this recommendation, I would use two capital budgeting methods, the net present value (NPV) and the internal rate of return (IRR). The NPV of the project is $1,276,677, which is positive, indicating that the project is profitable. The IRR is 22.09%, which is higher than the cost of capital, indicating that the project is feasible.
Other non-financial factors to consider for the project include the impact on the environment, social responsibility, and the reputation of the company. Midnight Oil and Gas must ensure that the pipeline construction and operation are carried out safely and sustainably.
One issue that I want to highlight is the limited supply of gas reserves for only 10 years. The company should consider alternative sources of energy and plan for a sustainable future beyond the life of the pipeline.
Overall, building the pipeline is a profitable and feasible project for Midnight Oil and Gas, provided that they consider the non-financial factors and plan for the future.
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1.) Caspian Sea Drinks is considering the purchase of a new water filtration system produced by Rube Goldberg Machines. This new equipment, the RGM-7000, will allow Caspian Sea Drinks to expand production. It will cost $12.00 million fully installed and will be fully depreciated over a 19.00 year life, then removed for no cost. The RGM-7000 will result in additional revenues of $3.17 million per year and increased operating costs of $729,643.00 per year. Caspian Sea Drinks' marginal tax rate is 29.00%. The incremental cash flows for produced by the RGM-7000 are _____.
The RGM-7000 generates additional cash flows worth $2,257,199.09 in total.
Are the new cash flows that will be produced once a project is started referred to as incremental cash flows?In its simplest form, incremental cash flow describes the cash flow that a business generates when it accepts a new project. If your incremental cash flow is positive, you should accept it because it will boost your company's cash flow. That's a solid sign that a project is worthwhile to fund.
Depreciation plus tax rate equals depreciation tax shield.
Total cost / useful life equals $12,000,000 / 19 = $631,579.00 (depreciation).
Depreciation tax shield: $631, 579.00 multiplied by 0.29 is $183, 157.91
Annual net cash inflow = $2,257,199.09 - $3,170,000 - $729,643.00 - $183,157.91
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felicia was fired from her job. she has not found a new one. she wants to retain her health insurance that was provided by her employer who fired her. is this possible?
Felicia cannot retain her health insurance but some some businesses offer group insurance to their staff and cover all or a portion of the payment.
The Group Insurance Plan offered by your employer often expires on the employee's final day of employment. Yet, some businesses in the nation offer group insurance for their staff and cover the cost in full or in part. After completing the necessary paperwork, an employee can switch the group coverage to an individual health insurance plan from the same insurance provider.
Having said that, the insurance company has complete authority to determine the specifics of the new policy. Just a select number of insurance providers and corporations provide the option to move from group insurance to individual insurance.
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What are some disadvantages of Partnerships in Foreign Direct Investments? (Try to go into good detail explaining the disadvantages) (also make sure you talk about the disadvantages with PARTNERSHIPS in FDI!)
Some of the disadvantages of partnerships in foreign direct investments (FDI) include the lack of control over operations and decision-making, potential for conflicts and disagreements between partners, and the need for extensive communication and coordination between partners.
Additionally, partnerships can be costly and time-consuming to establish and maintain, and there is a risk of one partner being held responsible for the actions of another.
Furthermore, cultural and language barriers may also pose challenges in partnerships, making it difficult to effectively communicate and manage operations.
Overall, partnerships in FDI can be beneficial, but careful consideration should be given to the potential drawbacks and the ability to effectively manage the partnership.
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What quarterly compounded nominal rate of return must an endowment of $450,000 earn to fully fund a perpetuity of $15,000 end of quarterly payment 3.3% compounded quarterly 14.6% compounded quarterly O 14.1% compounded quarterly O 4AX compounded quarterly O 13.3% compounded quarterly
The quarterly compounded nominal rate of return required is 4.4%. Option D is correct.
The quarterly compounded nominal rate of return is the interest rate at which an investment grows over a quarter, assuming that the interest earned is reinvested at the end of each quarter and the interest rate is expressed on an annual basis. It is also known as the quarterly compound interest rate or quarterly nominal interest rate.
This rate takes into account the compounding effect of interest, which means that the interest earned on the investment is added to the principal and reinvested at the end of each quarter, leading to exponential growth in the value of the investment over time. The quarterly compounded nominal rate of return is commonly used to compare the performance of different investment options and to calculate the future value of investments
For this case, we can use the formula for the present value of a perpetuity to find the required nominal rate of return:
Present value of perpetuity = Payment amount / Nominal rate of return
Plugging in the given values, we get:
$450,000 = $15,000 / (r/4)
where r is the nominal annual rate of return we are trying to find. Simplifying, we get:
r = (4 * $15,000 / $450,000) x 100%
= 4.4%
Therefore, the quarterly compounded nominal rate of return required is 4.4%. Option D holds true.
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Kenny Bania owns an appliance store. He usually receives $40,000 worth of appliances per month. He does not like to owe people money and always pays his bills on the day he receives the invoice. Someone told him that if he delayed payment, he could actually increase his profit because the money would be earning interest in his account. He went through his bills and found that he actually had an additional 10 days, on average, to pay his invoices. He also found that he was earning 2 percent interest on the money he had in his money market savings account. If he delayed payment by the 10 days, how much additional interest would he earn? O a. $18.41 O b.$32.83 O c. $21.92 O d. $27.40
C. $21.92.
To calculate the additional interest earned by delaying payment, we need to determine the amount of money Kenny Bania is delaying payment on and the interest rate he can earn on that money.
Since he usually receives $40,000 worth of appliances per month and has an additional 10 days to pay his invoices, he can delay payment on an average of $13,333 ($40,000 / 30 days * 10 days) worth of appliances each month.
If he can earn 2% interest on that money, he will earn an additional $21.92 ($13,333 * 0.02 / 12 months) per month.
Therefore, the additional interest earned by delaying payment is $21.92.
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suppose the marginal propensity to save is equal to .33. if there is an increase in autonomous investment equal to $10 billion, by how much will gdp eventually increase?
The GDP will eventually increase by $30.3 billion.
When the marginal propensity to save (MPS) is equal to 0.33, it implies that the marginal propensity to consume (MPC) is equal to 1 - MPS, which is 0.67. An increase in autonomous investment of $10 billion will lead to a change in GDP through the multiplier effect.
The multiplier effect occurs because an initial increase in autonomous spending, such as investment, leads to additional rounds of spending and consumption throughout the economy.
The size of the multiplier can be calculated using the formula:
Multiplier = 1 / (1 - MPC)
In this case, the multiplier would be:
Multiplier = 1 / (1 - 0.67) = 1 / 0.33 ≈ 3.03
Now, to determine the eventual increase in GDP, we can multiply the increase in autonomous investment by the multiplier:
GDP increase = Autonomous investment increase × Multiplier
GDP increase = $10 billion × 3.03 ≈ $30.3 billion
So, with a marginal propensity to save of 0.33 and an increase in autonomous investment of $10 billion, the GDP will eventually increase by approximately $30.3 billion. This is due to the multiplier effect, which amplifies the initial investment through increased spending and consumption within the economy.
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estaurant sales had peeked, so it started selling frozen dinners in grocery stores under the akira chinese name. this is an example of
Diversification of product line by a restaurant by selling frozen dinners in grocery stores under a different brand name.
This is an example of diversification, which is a business strategy where a company enters a new market or develops a new product to expand its business operations. In this case, the restaurant has diversified its product line by selling frozen dinners in grocery stores under a different brand name. By doing so, the restaurant has opened up a new revenue stream and expanded its customer base. This strategy can be beneficial for businesses as it allows them to reduce their dependence on a single product or market and provides an opportunity for growth. However, diversification can also be risky as it requires significant investment and can take time to generate returns. It is important for businesses to carefully assess the potential benefits and risks before implementing a diversification strategy.
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sasha developed a new technology for cordless charging of mobile devices, but she misled her investors about the cost of producing the new chargers and the number of units she could supply. what type of failure is sasha exhibiting?
Sasha is exhibiting ethical failure or more specifically, fraudulent behavior. She deliberately misled her investors by providing false information about the cost of producing the new chargers and the number of units she could supply.
This behavior is unethical and dishonest as it misrepresents the true situation of her business and misleads investors into making decisions based on false information. Sasha's actions can harm her investors financially and damage their trust in her and her company. Furthermore, such fraudulent behavior can have legal and regulatory consequences, as it is illegal to mislead investors in this way.
It is important for individuals and businesses to maintain high ethical standards and act with integrity when dealing with investors, customers, and other stakeholders. Failing to do so can not only harm the reputation of the company and its leaders but also result in financial and legal consequences.
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You are considering how to invest part of your retirement savings.You have decided to put $400,000
into three stocks:
52% of the money in GoldFinger (currently $15/share), 19% of the money in Moosehead (currently $90/share), and the remainder in Venture Associates (currently $2/share). Suppose GoldFinger stock goes up to $33/share, Moosehead stock drops to $59/share, and Venture Associates stock rises to $11 per share.
a. What is the new value of the portfolio?
b. What return did the portfolio earn?
c. If you don't buy or sell any shares after the price change, what are your new portfolio weights?
Question content area bottom
Part 1
a. What is the new value of the portfolio?
The new value of the portfolio is
$enter your response here.
(Round to the nearest dollar.)
Part 2
b. What return did the portfolio earn?
The portfolio earned a return of
enter your response here%.
(Round to two decimal places.)
Part 3
c. If you don't buy or sell any shares after the price change, what are your new portfolio weights?
The weight of Goldfinger is now
enter your response here%.
(Round to two decimal places.) Part 4
The weight of Moosehead is now
enter your response here%.
(Round to two decimal places.)
Part 5
The weight of Venture is now
enter your response here%.
a. The new value of the portfolio is:
GoldFinger: 0.52 x 34,000 shares x $33/share = $591,200
Moosehead: 0.19 x 4,444.44 shares x $59/share = $495,377.78
Venture Associates: 0.29 x 200,000 shares x $11/share = $6,380,000
Total value of portfolio = $7,466,577.78
b. The portfolio earned a return of:
[(New Value - Original Value)/Original Value] x 100%
= [($7,466,577.78 - $400,000)/$400,000] x 100%
= 1766.64%
c. If no shares are bought or sold after the price change, the new portfolio weights are:
GoldFinger: (0.52 x $33 x 34,000) / ($33 x 34,000 + $59 x 4,444.44 + $11 x 200,000) = 0.0376 or 3.76%
Moosehead: (0.19 x $59 x 4,444.44) / ($33 x 34,000 + $59 x 4,444.44 + $11 x 200,000) = 0.0175 or 1.75%
Venture Associates: (0.29 x $11 x 200,000) / ($33 x 34,000 + $59 x 4,444.44 + $11 x 200,000) = 0.9449 or 94.49%
After the price change, the weight of GoldFinger decreased, Moosehead increased, and Venture Associates increased significantly due to its large price increase.
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nadine would like to improve the management of inventory in her company. one of her first activities should be to:
Nadine can take a number of steps to improve the management of inventory in her company such as reviewing current inventory management processes, introducing new software, reviewing the company's purchasing policies and procedures, etc.
One of her first activities should be to conduct a thorough review of the current inventory management processes in place. This will help her to identify any inefficiencies or weaknesses in the system, and to understand where improvements can be made.
Once she has a good understanding of the current situation, Nadine can start to implement changes. This may involve introducing new software or systems to help track inventory levels and orders, or providing training to staff on best practices for managing inventory.
She may also need to review the company's purchasing policies and procedures to ensure that they are optimized for effective inventory management. Ultimately, the key to the successful management of inventory is to maintain accurate, up-to-date records of all inventory levels and movements.
This will help to prevent stock shortages or overstocking and ensure that the company has the right products on hand to meet customer demand. By taking a proactive approach to inventory management, Nadine can help her company to operate more efficiently and effectively, improving both its bottom line and its reputation among customers.
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paul borrows $5,000 from the bank and wishes to repay the amount in equal installments of $800 per year over a period of years. the payments will be made at the end of each year. the bank wishes to earn interest on this loan at 8%. approximately how many years will it take for paul to repay the loan? multiple choice question. 7 years 8 years 6 years 9 years
Approximately Paul needs 8 years to repay the loan.
Correct option is 8 years.
How to calculate years for paul to repay the loan?We can use the formula for the present value of an annuity to calculate the number of years it will take for Paul to repay the loan:
[tex]PV = PMT * [(1 - (1 + r)^{-n} / r][/tex]
where:
PV = present value of the loan
PMT = payment per period
r = interest rate per period
n = total number of periods
In this case, we have:
PV = $5,000 (the amount borrowed)
PMT = $800 (the equal annual payments)
r = 8% (the annual interest rate)
n = the number of years
We can solve for n by plugging in the values and using algebra:
[tex]5,000 = $800 * [(1 - (1 + 0.08^{-n}) / 0.08][/tex]
[tex]5,000 = $800 * [(1 - 1.08^{-n}) / 0.08][/tex]
[tex]$6.25 = 1 - 1.08^{-n}[/tex]
[tex]1.08^{-n} = 0.75[/tex]
[tex]-n * ln(1.08) = ln(0.75)[/tex]
[tex]n = ln(0.75) / ln(1.08)[/tex]
n ≈ 8.36
Therefore, it will take approximately 8 years for Paul to repay the loan. So the closest answer is 8 years. The correct answer is: 8 years.
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A firm that issues 20,000 shares of 6% coupon bonds with a par value $1,000/share and it has 8 years maturity and its yield to maturity is 7%. This firm also issues 1.6 million shares of equity issue with current price $30/share to finance its new capital projects. Given corporate tax rate is 25%, what is the targeted proportion (weight) of debt financing for this firm?
The targeted proportion of debt financing for this firm is 29.41%. The question asks for the targeted proportion of debt financing for a firm that issues 20,000 shares of 6% coupon bonds with a par value of $1,000/share and 8 years of maturity, and 1.6 million shares of equity issue with a current price of $30/share. The corporate tax rate is 25%.
To calculate the targeted proportion of debt financing, we first need to find the market value of debt and equity.
1. Market value of debt: 20,000 shares * $1,000/share = $20,000,000
2. Market value of equity: 1.6 million shares * $30/share = $48,000,000
Next, we calculate the total value of the firm by adding the market values of debt and equity:
Total value = $20,000,000 (debt) + $48,000,000 (equity) = $68,000,000
Now, we find the proportion of debt financing by dividing the market value of debt by the total value of the firm:
Proportion of debt financing = $20,000,000 / $68,000,000 = 0.2941, or 29.41%.
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After deciding to get a new car, you can either lease the car or purchase it with a two-year loan. The car you wish to buy costs $34,000. The dealer has a special leasing arrangement where you pay $97 today and $497 per month for the next two years. If you purchase the car, you will pay it off in monthly payments over the next two years at an APR of 6 percent, compounded monthly. You believe that you will be able to sell the car for $22,000 in two years.
Leasing the car would be the better option as it has a net cost of $9,375 compared to a net cost of -$15,124.64.
How can we compare the two options by total cost?To compare the two options, we need to calculate the total cost of each option and the net cost after selling the car.
Option 1: Lease the car
Total cost of lease = $97 + ($497 x 24) = $12,625
Net cost after selling the car = $22,000 - $12,625 = $9,375
Option 2: Purchase the car with a two-year loan
Monthly payment = $34,000 / [((1+0.06/12)^24) x (0.06/12)] = $1,546.86
Total cost of loan = $1,546.86 x 24 = $37,124.64
Net cost after selling the car = $22,000 - $37,124.64 = -$15,124.64
Based on these calculations, leasing the car would be the better option as it has a net cost of $9,375 compared to a net cost of -$15,124.64 for purchasing the car with a two-year loan.
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a is a specialized document used to share relevant information with the news media. a. press release b. tweet c. developmental brief d. direct- to- consumer release e. treatise
A Press release is a specialized document used to share relevant information with the news media.
A press release is a specialized record used to proportion relevant data with the information media. it's far normally written in a journalistic fashion and is aimed at producing media coverage for a selected corporation, organisation, or occasion.
Press releases can be used to announce a new services or products, a commercial enterprise merger or acquisition, a new partnership, or every other news-worth occasion. they may be regularly allotted to a huge variety of media shops, inclusive of newspapers, magazines, tv and radio stations, and online news web sites.
The purpose of a press release is to generate interest and exposure for the organization or organisation in query, and to speak key messages to the public in a clean and concise way.
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a). The specialized document used to share relevant information with the news media is a press release.
In order to announce anything noteworthy, a press release is a written statement sent to members of the news media. It is frequently used to disseminate information like a product launch, an occasion, or other business news. A headline, dateline, body text, and contact information are often included in press release writing. A press release's main objective is to grab journalists' attention and persuade them to publish a news article on the information being released. Email, wire services, social media, and other means can all be used to deliver press releases.
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in evaluating internal control, the auditor is basically concerned that the system provides reasonable assurance that
In evaluating internal control, the auditor is basically concerned that the system provides reasonable assurance that financial statements are reliable and accurate, that assets are safeguarded against theft or loss, and that the company complies with laws and regulations.
The auditor's job is to assess the effectiveness of internal controls by testing and examining the controls that are in place, identifying any weaknesses or deficiencies, and making recommendations for improvement.
Internal controls can be broken down into five components: control environment, risk assessment, control activities, information and communication, and monitoring. The auditor will evaluate each of these components to determine how effective they are in mitigating risk and achieving the company's objectives.
The control environment refers to the tone at the top of the organization and how it influences the control consciousness of its employees. The auditor will assess whether management is committed to ethical values, whether there are adequate policies and procedures in place, and whether employees are properly trained.
Risk assessment involves identifying and assessing risks that could impact the achievement of the company's objectives. The auditor will evaluate whether the company has identified and assessed its risks, and whether it has implemented appropriate controls to mitigate those risks.
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The initial burden of proof in discrimination claims lies ______. A. with the defendant. B. with the court. C. equally with the court and the federal agency
The initial burden of proof in discrimination claims lies with the plaintiff or the A) defendant. It is the responsibility of the plaintiff to present evidence that shows they have been subjected to discrimination.
Once the plaintiff has presented a prima facie case, the burden of proof then shifts to the defendant to provide a legitimate, nondiscriminatory reason for their actions.
If the defendant is able to provide such a reason, the burden shifts back to the plaintiff to show that the reason given is merely a pretext for discrimination. The court and federal agency may assist in determining the validity of the evidence presented, but the burden of proof ultimately lies with the plaintiff.
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which words describe the context of a procedural document? an. audience, opinion, facts, and genre b. supervisor knowledge, peer knowledge, and customer knowledge done c. purpose, audience, genre, and organization d. how many pages are required to communicate the process
The correct answer is option C. The context of a procedural document is audience, genre, purpose, and organization.
Depending on the goal of the text and the readers it is intended for, the audience may be particular or general.
The term "genre" describes the kind of writing style and document format, such as a report, memo, letter, or presentation.
Whether the document's goal is to inform, instruct, or persuade, it should have a clear objective stated. The document must be organised properly to be structured and understandable.
Understanding the context in which a procedural document will be utilised is essential to writing one that is effective.
Complete Question:
Which words describe the context of a procedural document?
A. Audience, opinion, facts, and genre
B. Supervisor knowledge, peer knowledge, and customer knowledge
C. Purpose, audience, genre, and organization
D. How many pages are needed to communicate the process
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the seller accepts a buyer's offer of $200,000 to buy a home. the appraisal on the property comes in at $118,000. if the lender requires an ltv of 80%, how much is the lender willing to lend?
The lender is only willing to lend $94,400 on this property.
What is LTVThe LTV or loan-to-value ratio is a critical factor in determining how much a lender is willing to lend on a property.
In this case, the seller has accepted the buyer's offer of $200,000 to buy a home, but the appraisal on the property came in at only $118,000.
This means that the lender will only provide a loan for 80% of the appraised value, which in this case is $118,000 x 0.80 = $94,400.
Therefore, the lender is only willing to lend $94,400 on this property.
This means that the buyer will need to provide the remaining amount of $105,600 as a down payment to complete the purchase of the home.
It's essential to note that lenders use the LTV ratio to determine the level of risk involved in a loan and determine the maximum amount they are willing to lend.
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207. Adam Ventures (AV) has the following earnings for 2014. Numbers in millions.
* Net Income: $2.5
* Payments to preference shareholders: $0.5
* Income available to common shareholders: $2.0
AV's beginning of year stock is valued at $20 per share, with a book value of $15/share. AV has 500,000 shares outstanding.
V's return on equity is closest to:
A. 20%
B. 27%
C. 32%
The return on equity (ROE) for Adam Ventures (AV) is closest to 27% (Option B).
To calculate the ROE, follow these steps:
1. Calculate the equity: Since the book value per share is $15 and there are 500,000 shares outstanding, the total equity is 15 * 500,000 = $7,500,000.
2. Determine the net income available to common shareholders: According to the given data, the income available to common shareholders is $2.0 million.
3. Calculate the ROE: Use the formula ROE = (Net Income available to common shareholders / Total Equity) * 100. So, the ROE = (2,000,000 / 7,500,000) * 100 = 26.67%.
Therefore, the return on equity for Adam Ventures is closest to 27%.
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occasions manufactures greeting cards. it works with origs, a creative agency. origs develops ads for the company. origs is the:
Origins is a creative agency that works with Occasions, a company that manufactures greeting cards. As a creative agency, Origins is responsible for developing ads and marketing materials for Occasions. They work closely with the company to create campaigns that will effectively promote their products and reach their target audience.
Origins may utilize various marketing channels to achieve their objectives, such as social media, print ads, and email marketing. They may also develop strategies to increase brand awareness and improve customer engagement. Additionally, they may conduct market research to better understand the needs and preferences of Occasions' target audience, which can help them develop more effective marketing campaigns.
Overall, Origins plays a crucial role in helping Occasions achieve its marketing and sales objectives. By developing effective ads and marketing materials, they help the company reach its target audience and promote its products effectively. With Origins' expertise and creativity, Occasions can continue to grow and succeed in the competitive world of greeting card manufacturing.
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origs is the creative agency that works with the company that manufactures greeting cards for various occasions.
Origins is a creative agency that develops ads for Occasions, a greeting card manufacturer. In this relationship, Origins is considered an external vendor or contractor that provides a service to Occasions.
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