You plan to deposit $5,200 at the end of each of the next 15 years into an account paying 11.3 percent interest. a. How much will you have in your account if you make deposits for 15 years

Answers

Answer 1

Answer:

Amount after 15 years = 183255.011

Explanation:

Below is the calculation to find the amount after 15 years:

Annuity amount or early deposited amount = $5200

Time period = 15 years

Interest rate = 11.3 %

Now we have to find the amount after 15 years:

Amount after 15 years = Annuity [((1 + r)^n - 1) / r ]

Amount after 15 years = 5200 [((1 + 11.3)^15 - 1) / 11.3% ]

Amount after 15 years = 183255.011


Related Questions

roles of competition policy authorities in south Africa​

Answers

Answer:

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The Tuck Shop began the current month with inventory costing $10,000, then purchased inventory at a cost of $35,000. The perpetual inventory system indicates that inventory costing $30,000 was sold during the month for $40,000. If an inventory count shows that inventory costing $14,500 is actually on hand at month-end, what amount of shrinkage occurred during the month

Answers

Answer:

$500 shrinkage

Explanation:

Calculation to determine the amount of shrinkage occurred during the month

Using this formula

Shrinkage=Ending inventory-Actual count

Let plug in the formula

Ending inventory=$10,000 + $35,000 - $30,000 Ending inventory= $15,000

Shrinkage=$15,000 - $14,500

Shrinkage= $500

Therefore the amount of shrinkage occurred during the month is $500

Vincenzo Martin and Sasha Boudrakis have started a new firm, The Fan Base. Vincenzo is a well-known marketing guru who advises major league sports franchises on how to maximize the revenue from their teams' brands and logos. Sasha, meanwhile, is mostly silent in the operation. He has invested $2 million to get The Fan Base off the ground, and in return he receives 25% of the firm's annual profits. The Fan Base is organized as a Group of answer choices corporation. limited liability company (LLC). sole proprietorship. general partnership. limited partnership.

Answers

Answer: limited partnership

Explanation:

With the description given in the question, the The Fan Base is organized as a limited partnership. A limited partnership has a general partner, whom has an unlimited liability and a limited partner.

A limited partnership is when two or more partners go into business together, and in this case, the limited partners will be liable only up to the amount that they invested in the business.

In​ 1982-84 dollars, the real average hourly wage rate in 2005 was ​$8.18 and in 2006 ​, it was ​$8.24 . In 2005 ​, the CPI was 195.3 and in 2006 ​, the CPI was 201.6 . Calculate the nominal wage rate in 2005 and in 2006 .

Answers

Answer:

the nominal wage rate in 2005 and in 2006 is 15.98 and 16.61 respectively

Explanation:

The computation of the nominal wage rate in 2005 and in 2006 is shown below:

For the year 2005

= $8.18 × $195.3 ÷ 100

= 15.98

And, for the year 2006

= $8.24 × 201.60 ÷ 100

= 16.61

In this way it should be calculated

hence, the nominal wage rate in 2005 and in 2006 is 15.98 and 16.61 respectively

Use the cost information below for Ruiz Inc. to determine the total manufacturing costs incurred during the year: Work in Process, January 1 $ 52,400 Work in Process, December 31 38,200 Direct materials used $ 13,700 Total factory overhead 6,700 Direct labor used 27,700 Multiple Choice

Answers

Answer:

$48,100

Explanation:

Computation of total manufacturing cost incurred during the year is seen below;

Direct materials used

$13,700

Direct labor used

$27,700

Total factory overhead

$6,700

Total manufacturing cost incurred

$48,100

Therefore, the total manufacturing cost incurred during the year is $48,100

Lewis Co. reports the following results for May. Prepare a flexible budget report showing variances between budgeted and actual results. Budgeted Actual Sales $ 300 per unit $ 435,000 Variable expenses $ 120 per unit $ 172,000 Fixed expenses (total) $ 125,000 $ 122,000 Units produced and sold 1,200 1,400 List variable and fixed expenses separately. (Indicate the effect of each variance by selecting for favorable, unfavorable, and no variance)

Answers

                                                 LEWIS Co.

                           Flexible budget performance report

                                     For month ended May 31

                               Flexible budget  Actual results  Variances    Result

Sales                        $420,000           $435,000        $15,000         Fav

                                (1400*$300)

Variable expense    $168,000           $172,000           $4,000         Unfav

                                (1400*$120)

Contr. margin          $252,000          $263,000         $11,000         Fav

Fixed cost                $125,000            $122,000          $3,000          Fav

Net Income             $127,000            $141,000          $14,000         Fav

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The decision to increase wages had a high probability of effect on Walmart’s success, illustrated by Multiple Choice pilot tests confirming that turnover would decrease. lawsuits that had been dropped. support from labor and worker rights groups. increased morale among all employees. flexible schedules, more training, and more HR personnel.

Answers

Answer: pilot tests confirming that turnover would decrease.

Explanation:

Companies that have a lower turnover of employees are generally more successful than companies that don't because these companies spend less on job training for new staff, have a staff that is more motivated and the presence of regular staff that bond with customers will inspire those customers to buy more.

Walmart engaged in pilot tests to confirm this theory and increased wages in several test locations. These locations became more successful after the wage increase and so Walmart decided to apply it across the board.  

Are executive pay levels unreasonable? Why or why not​

Answers

Answer:

In my opinion, some corporate salaries for high-ranking executives are excessively high for the functions that these people have in these companies and the impact that their work has on their economy and on the well-being of society as a whole.

It is that, although we live in a capitalist, free and democratic society in which everyone has the right to earn the sum of money that their employer is willing to pay, the truth is that in certain cases (or in most cases ) Said salaries are not justified based on the contributions that said executives make in their day-to-day work.

What is the reason AD is downward sloping ? what causes AD to shift? Define OKun's law
subject Macroeconomics, please please help...

Answers

Answer:

Increased spending power.

Explanation:

At a lower price level, consumers are likely to have higher disposable income and therefore spend more.

The following information pertains to Lightning Inc., at the end of the year:
Credit Sales $75,000
Accounts Payable 13,900
Accounts Receivable 8,200
Allowance for Uncollectible Accounts $900 credit
Cash Sales 24,000
Lightning uses the percentage-of-credit-sales method and estimates 4% of sales are uncollectible. What is the ending balance of the allowance account after the year-end adjustment?
$3,900
$4,860
$3,000
$2,100

Answers

Answer:

$3900

Explanation:

Calculation to determine the ending balance of the allowance account after the year-end adjustment

Balance in allowance for uncollectible account$ 900

Add Bad debts during the period $3,000

($75,000*4%)

Ending Balance in allowance for uncollectible account$ 3,900

($900+$3,000)

Therefore the ending balance of the allowance account after the year-end adjustment is $3900

U.S. manufacturing company operating a subsidiary in an LDC (less-developed country) shows the following results: U.S. LDC Sales (units) 98,000 19,980 Labor (hours) 20,600 15,600 Raw materials (currency) $ 19,950 19,750 (FC) Capital equipment (hours) 59,250 5,600 *Foreign Currency unit a. Calculate partial labor and capital productivity figures for the parent and subsidiary. (Round your answers to 2 decimal places.) b. Compute the multifactor productivity figures for labor and capital together. (Round your answers to 2 decimal places.) c. Calculate raw material productivity figures (units/$ where $1

Answers

Answer:

a. Productivity = Sales /Labour Hour

U.S

Productivity = 98000 units/20600 hours

Productivity = 4.76

LDC

Productivity = 19980 units/15600 hours

Productivity = 1.28

Capital Productivity = Sales / Capital Equipment (Hours)

U.S

Capital Productivity = 98000 units/59250 hours

Capital Productivity = 1.65

LDC

Capital Productivity = 19980 units/5600 hours

Capital Productivity = 3.57

b. Multi-factor Productivity = Total Output (Sales) / (Labour Hours + Capital Equipment Hours)

U.S

Multi-factor Productivity = 98000 units/(20600+59250)

Multi-factor Productivity = 98000 units / 79850 hours

Multi-factor Productivity = 1.23

LDC

Multi-factor Productivity = 19980 units / (15600+5600)

Multi-factor Productivity = 19980 units / 21200 hours

Multi-factor Productivity = 0.94

c. Raw Material Productivity = Sales / Raw Materials Currency

U.S

Raw Material Productivity = 98000 units/$19950

Raw Material Productivity = 4.91

LDC

Raw Material Productivity = 19980 units / (19750 /10)

Raw Material Productivity = 19980 units / $1975

Raw Material Productivity = 10.12

When a perfectly competitive firm decides to shut down, Group of answer choices marginal cost is above average variable cost.

Answers

Answer:

price is below average variable cost

Explanation:

A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.  

In the long run, firms earn zero economic profit.  If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.  

Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.  

firms should shutdown when price is less than average variable cost and exit when price is less than average total cost

In preparation for developing its statement of cash flows for the year just ended, D-Rose Distributors collected the following information: ($ in millions) Purchase of treasury bills (considered a cash equivalent) 7.1 Sale of preferred stock 151.1 Gain on sale of land 5.1 Proceeds from sale of land 26.1 Issuance of bonds payable for cash 141.1 Purchase of equipment for cash 31.1 Purchase of GE stock 36.1 Declaration of cash dividends 135.1 Payment of cash dividends declared in previous year 131.1 Purchase of treasury stock 121.1 Payment for the early extinguishment of long-term notes (carrying (book) value: $100 million) 111.1
Required:
1. Prepare the investing activities section of D-Rose's statement of cash flows.
2. Prepare the financing activities section of D-Rose's statement of cash flows. (For all requirements, list any cash outflow with a minus sign. Enter your answer in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)

Answers

Answer:

D-Rose Distributors

1. Investing Activities Section of D-Rose's Statement of Cash Flows:

                                                                                     $ in millions)

Purchase of treasury bills (considered a cash equivalent) -7.1

Proceeds from sale of land                                                 26.1

Purchase of equipment for cash                                        -31.1

Purchase of GE stock                                                         -36.1

Net cash flows from investing activities                         -$48.2

2. Financing Activities Section of D-Rose's Statement of Cash Flows:

                                                                                     $ in millions)

Sale of preferred stock                                                        151.1

Issuance of bonds payable for cash                                   141.1  

Payment of cash dividends declared in previous year     -131.1

Purchase of treasury stock                                                -121.1  

Payment for the early extinguishment of long-term

notes (carrying (book) value: $100 million)                       -111.1

Net cash flows from financing activities                          -$71.1

Explanation:

a) Data and Calculations:

($ in millions)

Purchase of treasury bills (considered a cash equivalent) 7.1

Sale of preferred stock 151.1

Gain on sale of land 5.1

Proceeds from sale of land 26.1

Issuance of bonds payable for cash 141.1

Purchase of equipment for cash 31.1

Purchase of GE stock 36.1

Declaration of cash dividends 135.1

Payment of cash dividends declared in previous year 131.1

Purchase of treasury stock 121.1

Payment for the early extinguishment of long-term notes (carrying (book) value: $100 million) 111.1

b) In preparing D-Rose's Statement of Cash Flows, the following two items are non-cash items:  

i) The gain on sale of land, which will be deducted from the Net Income when the indirect method is used for preparing the operating activities section.

ii) The declaration of cash dividends does not involve any cash flow. It is the payment of dividends that involves a financing activity.

The spot and 30-day forward rates ($/SF) for the Swiss franc are $.3075 (1.0695) and $.3120(1.0885), respectively. The franc is said to be selling at a forward: a. Premium of 16.88%. b. Premium of 17.56%. c. Discount of 6.39%. d. Discount of 15.10%. e. Discount of 17.31

Answers

Answer:

b. Premium of 17.56%.

Explanation:

The computation is shown below:

Given that

Spot price = $0.3075

Forward rate = $0.3120

Now  

Forward premium or discount is

= [(Forward rate - Spot rate) ÷ Spot rate] × (12 ÷ months) × 100

= [0.3120-0.3075)  ÷ 0.3075 ] × (12  ÷ 1)  × 100

= (.0045 ÷ 0.3075) × 12 ÷ 1 × 100

= 17.556 %

= 17.56 %

Hence, the  Option B Premium of 17.56% is correct

Dawn's bridal boutique is having a sale on evening dresses. The increase in consumer surplus comes from the benefit of the lower prices to a. both existing customers who now get lower prices on the gowns they were already planning to purchase and new customers who enter the market because of the lower prices. b. only new customers who enter the market because of the lower prices. c. only existing customers who now get lower prices on the gowns they were already planning to purchase. d. Consumer surplus does not increase; it decreases.

Answers

Answer:

The answer is "Option a".

Explanation:

Dawn's bridal shop does have an evening gowns sale. The rise in consumer surplus is attributable to the fact that both existing customers now also have cheaper prices on the robes which previously planned to buy, as well as the new customers who enter the market due to lower prices even as advantages are identical but the prices are cheaper on the same robe. The current product and existing consumers are able t benefit from market sales, thereby increasing the excess of the new and current consumers.

Line Corporation's balance sheet showed the following amounts for their liability and stockholders' equity accounts: Current Liabilities, $5,000; Bonds Payable, $1,500; Lease Obligations, $2,000; and Deferred Income Taxes, $300. Total stockholders' equity was $6,000. The debt-to-equity ratio is

Answers

Answer:

1.47

Explanation:

Debt to equity ratio = Debt / Equity

Debt to equity ratio = (Current liabilities + Bonds payable + Lease obligations + Deferred income taxes) / Total stockholder's equity

Debt to equity ratio = ($5,000 + $1,500 + $2,000 + $300) / $6,000

Debt to equity ratio = $8,800 / $6,000

Debt to equity ratio = 1.47

What is the present value of a perpetuity of $20,000 per month, if the first cash flow will be received exactly nine months from now, and the stated rate is 12% APR compounded monthly

Answers

Answer:

$1,828,679.65

Explanation:

The computation of the present value of the perpetuity is shown below;

The Present value of the perpetuity is

But before that as on the start of the perpetuity is determined using the formula,

= Perpetuity Amount ÷ Monthly rate

= $20,000 ÷ 1%

= $2,000,000

Now  

Present value today is

= Present value of perpetuity as on the start of the perpetuity ÷ (1 + Monthly rate)^Months

= $2,000,000 ÷ (1 + 1%)^9

= $2,000,000 ÷ 1.093685273

= $1,828,679.65

Ricky is not in a consumer equilibrium. Given the prices of goods, Ricky has allocated all his income such that his marginal utility per dollar spent is ________ for ________ goods.

Answers

Answer:

The options are

A) as small as possible; all

B) equal; all

C) equal; normal

D) maximized; all

The answer is B) equal; all

Ricky not being in a consumer equilibrium and he considering the prices prices of goods means he allocated all his income in such a way that entails his marginal utility per dollar spent is equal for all goods.

This is to ensure that he cuts cost and maximizes his spending power.

Which of the following is a key consideration in selecting an allocation base?
a. The allocation base should have an indirect association with the cost objective.
b. The allocation base should be difficult to measure.
c. There should be logical association between the allocation base and the incidence of costs.
d. The allocation base should be out of the control of management.

Answers

Answer:

C. There should be logical association between the allocation base and the incidence of costs.

Explanation:

We define the allocation base as that quantity through which the overhead cost and be allocated to. This base is usually in the form of a quantity. It could be the kilowatts used in hours, or the machine hours used.

It should be able to show to a logical extent how the cost object used the resources to which it is assigned

Megan Corp. recognizes revenue over time to account for long-term contracts. At the date the contract is signed, the price is $600,000 and the expected costs to complete the contract are $400,000. The following information is available:
Year 1 Year 2 Year 3 Costs incurred to date $200,000 $350,000 $500,000 Estimated costs to complete 200,000 150,000 0 Progress billings 200,000 200,000 200.000
What is the amount of gross profit or loss that is recognized in year 2?
a. $30,000 loss
b. $40,000 gross profit
c. $150,000 loss
d. $200,000 gross profit

Answers

Answer:

a. $30,000 loss

Explanation:

Calculation to determine What is the amount of gross profit or loss that is recognized in year 2

First step is to calculate the Year 1 Cost to cost ratio using this formula

Year 1 Cost to cost ratio = 200,000 / ( Costs incurred + Cost to complete)

Let plug in the formula

Year 1 Cost to cost ratio= 200,000 / (200,000 + 200,000)

Year 1 Cost to cost ratio= 50%

Second step is to calculate the Gross profit or loss using this formula

Gross profit/Loss = 50% * ( Price - estimated cost to complete)

Let plug in the formula

Gross profit/Loss= 50% ( 600,000 - 400,000)

Gross profit/Loss= $100,000

Third step is to calculate the Year 2 Cost to cost ratio

Using this formula

Year 2 Cost to cost ratio = 350,000 / ( Costs incurred + Cost to complete)

Let plug in the formula

Year 2 Cost to cost ratio = 350,000 / (350,000 + 150,000)

Year 2 Cost to cost ratio = 350,000 / 500,000

Year 2 Cost to cost ratio = 70%

Now let calculate the gross profit or loss using this formula

Gross profit = 70% * ( Price - estimated cost to complete) - Previous Gross

Let plug in the formula

Gross profit= 70% ( 500,000 - 400,000) - 100,000

Gross profit= -$30,000

Gross Loss of $30,000 in Year 2

The table shows Robinson Crusoe's production possibilities.
If Crusoe increases production of berries from 84.0 pounds to 104.0 pounds and production is​ efficient, his opportunity cost of producing 1 pound of berries is 1.3 pound of fish.
Crusoe's opportunity cost of producing an extra pound of berries____as he produces more berries
A. increases.
B. decreases.
C. sometimes increases and sometimes decreases.
D. does not change.
Possibility Berries (pounds) Fish (pounds)
A 0 144.0
B 16.0 140.0
C 30.0 132.0
D 42.0 120.0
E 52.0 104.0
F 84.0 84.0
G 60.0 60.0
H 66.0 32.0
I 70.0 0

Answers

Answer:

increases

Explanation:

behavior of viettel's customer

Answers

Answer:

Some behaviors of viettel's customer are:-

Complex buying behavior.Dissonance-reducing buying behavior.Habitual buying behavior.Variety seeking behavior.

A company that has never previously issued securities registered with the Securities and Exchange Commission, can register in a State by:

Answers

Answer:

C. II and III

Explanation:

These are the options for the question

I Filing

II Coordination

III Qualification

A. I only

B. II only

C. II and III

D. I, II, III

The Securities and Exchange Commission (SEC) can be regarded as an oversight agency of U.S. government, which responsible for regulation of securities markets as well as protection of investors. civil actions can be taken by SEC against lawbreakers, they aworks hand in hand along with Justice Department on criminal cases. For a company to register under them , there must be Coordination and Qualification. It should be noted that company that has never previously issued securities registered with the Securities and Exchange Commission, can register in a State by Coordination and Qualification

Annual demand for an item is 35,000 units. The holding cost rate is 15% of the item cost. Ordering costs are $25 per order. Quantity discounts are available according to the schedule below:

Quantity Price per Unit ($)
1-99 80.00
100-299 79.50
300-399 79.25
400+ 79.00

Requried:
a. What is the optimal order quantity? If necessary, round to the nearest whole number.
b. From the previous problem, what is the total annual cost of your policy?

Answers

Answer:

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Which one of the following items is not generally used in preparing a statement of cash flows? Group of answer choices Adjusted trial balance Comparative balance sheets Current income statement Additional information

Answers

Answer:

Adjusted trial balance

Explanation:

In financial accounting, statement of cash flow can be regarded as a financial statement which give details of how changes that occur in balance sheet accounts as well as income have effect on cash as well as cash equivalents, it also helps in breaking down of analysis to operating as well as investing and other financing activities.

It should be noted that the following items are generally used in preparing a statement of cash flows;

✓Comparative balance sheets

✓Current income statement

✓Additional information

Respass Corporation has provided the following data concerning an investment project that it is considering:
Initial investment $160,000
Annual cash flow $54,000 per year
Salvage value at the end of the project $11,000
Expected life of the project 4 years
Discount rate 15%
The net present value of the project is closest to:____.
A) $67,000.
B) $160,516.
C) $516.
D) $(5,776).

Answers

Answer:

45,811.70Explanation:

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be calculated using a financial calculator  

Only projects with a positive NPV should be accepted. A project with a negative NPV should not be chosen because it isn't profitable.  

When choosing between positive NPV projects, choose the project with the highest NPV first because it is the most profitable.

Cash flow in year 0 = $-160,000

Cash flow in year 1 - 3  = $54,000

Cash flow in year 4 = 11,000

I = 15

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

Ripka Company has 20,000 units in inventory that had a production cost of $4 per unit. These units cannot be sold through normal channels due to a significant technology change. These units could be reworked at a total cost of $30,000 and sold for $35,000. Another alternative is to sell the units to a junk dealer for $10,500. The relevant cost for Ripka to consider in making its decision is Select one: a. $110,000 for reworking the units b. $30,000 for reworking the units c. $80,000 of original product costs d. $35,000 for selling the units to the junk dealer

Answers

Answer:

Ripka Company

The relevant cost for Ripka to consider in making its decision is:

b. $30,000 for reworking the units

Explanation:

a) Data and Calculations:

Inventory = 20,000 units

Production cost already incurred = $4 per unit

Total production cost = $80,000 (20,000 * $4)

Total Cost of Reworking the units = $30,000

Sales revenue after rework = $35,000

Alternative sales revenue without reworking = $10,500

b) Relevant cost is the avoidable cost.  The cost that can be avoided in this instance is the cost of reworking the units, amounting to $30,000.

The Gardner Company expects sales for October of $247,000. Experience suggests that 40% of sales are for cash and 60% are on credit. The company collects 50% of its credit sales in the month of sale and 50% in the month following sale. Budgeted Accounts Receivable on September 30 is $67,500. What is the amount of cash expected to be collected in October

Answers

Answer: $74100

Explanation:

Based on the information given, the amount of cash expected to be collected in October will be calculated thus:

October, credit sales will be:

= 60% x $247000

= $148200

Since the amount that'll be collected in October will be 50% of the credit sales. This will be:

= 50% × $148200

= $74100

2. The Lexington Property Development Company has a $10,000 note receivable from a customer due in three years. How much is the note worth today if the interest rate is a. 9%

Answers

Answer:

$7721.83

Explanation:

the worth of the note today can be determined by calculating the present value of the cash flows

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in  year 1 and 2 = 0

Cash flow in  year 3 = 10,000

I = 9%

PV = $7721.83

To determine the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

ou are the manager of a monopoly that sells a product to two groups of consumers in different parts of the country. Group 1’s elasticity of demand is - 3,
while group 2’s is - 5. Your marginal cost of producing the product is $40.
a. Determine your optimal markups and prices under third-degree price
discrimination.
b. Identify the conditions under which third-degree price discrimination
enhances profits

Answers

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PLEASE HELP!!! URGENT!!!! WILL MARK BRAINLIST Each Sumerian city-state was dedicated to a patron deity, and this deitys templecalled the zigguratwas the citys most important building. The rulers of each city-state performed a hybrid role that was part priest and part king. Using these details, what can you infer about the importance of religion in traditional Sumerian life? Nuts Berry Farm sells nuts for $60 for 4 pounds. Today, and just for today only,Nuts Berry Farm is giving a 30% discount to all those who will buy nuts today.Enter how much, in dollars, is a pound of nuts today after the discount. HELP PLEASE ASAP.., Is Amys answer accurate PLEASE HELP ME !! THANK YOU!!EXPLANATION = BRAINLIEST & FIVE STAR RATINGWhat is tan E? Give your answer as a simplified fraction. A Question 4 (1 point) Retake questionWhich of the following was a result of the European Crusades?The none now controlled the Holy Roman Empire and the Byzant Need help please no link should the size of the test charge compare to the amount of charge that produces the field If Craig is searching online sources for information about helping the poor, which site should he rely on for the most accurate information. 5. The volume of a rectangular prism is 2058 cm3. The length is three timesthe width. The height is twice the width. Find the width, length and height of the prism.a. L- 18 cm, W-6 cm, H- 12 cmc. L-20 cm, W-6 cm, H-12 cmb. L- 21 cm, W- 7 cm, H- 14 cmd. L- 22 cm, W-8 cm, H- 15 cm Which of these is a sign that youre dealing with someone engaged and unfair lending statementLoopingWAP to displayname 50 times. In the plot of "Cruel Tribute," which events are a result of King Minos's actions? Select 3 options.Athens agrees to pay the tribute.Young people participate in a lottery.Theseus uses the silken thread.Theseus fights the Minotaur.Aegeus drowns in the Aegean Sea.Theseus becomes king. Listen to the audio and then answer the following question. Feel free to listen to the audio as many times as necessary before answering the question.Listen to the audio and then answer the following question. Feel free to listen to the audio as many times as necessary before answering the question.According to Marisa, when does the movie start?a las nuevea las ochodespus de las ochodespus de las nueve Which sentence contains an example of hyperbole?Inaugural Addressby John F. Kennedy, January 20, 1961 (excerpt)Let the word go forth from this time and place, to friend and foe alike, that the torch has been passed to a new generation of Americans-bornin this century, tempered by war, disciplined by a hard and bitter peace, proud of our ancient heritage-and unwilling to witness or permit theslow undoing of those human rights to which this nation has always been committed, and to which we are committed today at home andaround the world.A)Let every nation know, whether it wishes us well or ill, that we shall pay any price, bear any burden, meet any hardship, support any friend,oppose any foe to assure the survival and the success of liberty.B)This much we pledge-and more.C)To those old allies whose cultural and spiritual origins we share, we pledge the loyalty of faithful friends. United there is little we cannot do in ahost of cooperative ventures. D)Divided there is little we can dofor we dare not meet a powerful challenge at odds and split asunder. A two-way frequency table is shown below that displays the relationship between the region of the country in which people live and the type of music preferred. We took a sample of 193 people and recorded the following results: Country Music Rock Total West 26 15 41 East 24 22 46 South 7 33 40 North 41 25 66 Total 98 95 193 What is the probability (rounded to the nearest whole percent) that a randomly selected person is from the western region of the country if he or she prefers country music? ( List at least three different properties that would help you determine whether the bars are made of the same metal. Should you ever tell a stranger where you live? Why? Question 20 of 25 How are photosynthesis and cellular respiration related?A: Photosynthesis produces water molecules, while cellular respiration splits water molecules apartB: Cellular respiration is the process animals use to produce glucose, while photosynthesis is the process plants use to produce glucose C: Cellular respiration breaks down glucose, while photosynthesis produces glucoseD: Photosynthesis releases energy, while cellular respiration stores energy Select the correct text in the passageWhich sentences in this excerpt from Mark Twain's Adventures of Huckleberry Finn use hyperbole?He listened some more, then he come tiptoeing down and stood right between us; we could a touched him, nearly. Well, likely it wasminutes and minutes that there warn't a sound, and we all there so close together. There was a place on my ankle that got to Itching, but Idasn't scratch it; and then my ear begun to itch; and next my back, right between my shoulders. Seemed like I'd die if I couldn't scratch.Well, I've noticed that thing plenty times since. If you are with the quality, or at a funeral, or trying to go to sleep when you ain't sleepy-Ifyou are anywheres where it won't do for you to scratch, why you will itch all over In upwards of a thousand places. Pretty soon Jim says:"Say, who is you? Whar Is you? Dog my cats ef I didn' hear surf'n. Well, I know what I's gwyne to do: l's gwyne to set down here and listentell I hears it agin."