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scoundrel [369]
2 years ago
5

You have agreed to loan some money to a friend at a simple interest rate of 150% which is outrageous but still about half of the

payday loan places! To make it easy on your friend who never took Math 140 you tell him you'll give him some money now and he just needs to pay you back a nice even $500 in 4 weeks. How much money do you hand him?
Business
1 answer:
Cerrena [4.2K]2 years ago
8 0

Answer:

We give our friend 437.5 dollars

Explanation:

We have to discount from 500 dollar the interest over time, as the 500 is the value our friend will return in 4 weeks ( a month) not the amount received Hence:

nominal x discount rate x time = discount

being rate and time in the same metric

rate is annual so we express time in portion of a year

500 x -1.5 x 1/12 = -62,5‬

We have to discount 62.5 dollar from the nominal

nominal less discount = present value

500 - 62.5 = 437.5

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The manager of a gas station has observed that the times required by drivers to fill thier car's tank and pay are quite variable
Serhud [2]

Answer:

48.65%

Explanation:

Since the average time it takes car drivers to fill their tanks is exponentially distributed at 7.5 minutes, we can elaborate an exponential formula to calculate the number of times a gas tank can be filled in a certain period of time:

e⁻ˣ/ⁿ

  • e = 2.718
  • x = 5 minutes
  • n = 7.5 minutes

= 2.718⁻⁵/⁷°⁵ = 0.5134

now, the probability that a driver can fill his/her tank in less than 5 minutes = 1 - 0.5134 = 0.4865 or 48.65%

4 0
2 years ago
Read 2 more answers
Kivi Service Stations is considering expanding its operations to include the greater Dubuque area. Rather than build new service
gayaneshka [121]

Answer:

A. $1,085,000

B. $316,000

Explanation:

A. Computation of an estimated fair value for any goodwill associated with Kivi purchasing Joe’s Garage

Actual average net income per year $220,000

Sales multiplier 9.25 times

Estimated fair market value of Joe's Garage$2,035,000

($220,000*9.45 Times)

Fair market value of identifiable assets($950,000)

Estimated goodwill of Joe's Garage$1,085,000

($2,035,000-$950,000)

b. Computation for an estimated fair value for any goodwill associated with Kivi purchasing Gas N’ Go.

Actual average net income per year$275,000

Earnings for Gas N' Go($196,000)

(20%×$980,000)

Estimated excess earnings of Gas N' Go$79,000

($275,000-$196,000)

Management expect excess earning of four years ×4

Estimated goodwill of Gas N' Go $316,000

($79,000×4 years)

4 0
2 years ago
Adams Corporation's present capital structure, which is also its target capital structure is
kaheart [24]

Answer:

Task a:

The answer is $24,500.

Task b:

The answer is 17%

Explanation:

<h2>Task a:</h2><h3>What is the maximum amount of new capital that can be raised at the LOWEST  component cost of EQUITY?</h3><h3>Solution:</h3>

We already know the following:

Projected net income = $21,000

Payout ratio = 30%

Retention ratio = 70%

Debt share = 40%

Equity share = 60%

Maximum amount of capital to be raised at the lowest component cost of equity = Projected net income ×\frac{Retention ratio}{Equity share}

= $21,000 × \frac{0.70}{0.60}

= $24,500

<h3>Answer:</h3>

The maximum amount of new capital that can be raised at the lowest component of equity is $24,500.

<h2>Task b:</h2><h3>What is the component cost of equity by selling new common stock?</h3><h3>Solution:</h3>

k(e) (component cost of external equity) = [Dividend (D0)(1 + growth) / stock price(1 - flotation cost)] + growth

Formula:

k(e) = \frac{Do(1+g)}{P(1-0.20)} + 0.05

Where

Do = $2.00

G = 0.05

P = $21/88

= ($2.00(1 + 0.05) / $21.88(1-.20)) + 0.05

= ($2.10/$21.88(1-.20)) + 0.05

= ($2.10/$21.88(0.80) + 0.05

= 0.17 or 17%

<h3>Answer: </h3>

The component cost of equity by selling new common stock = 17%

5 0
2 years ago
A monopolistic seller of sports cars has traced out the following demand curve: 10 customers have willingness to pay (WTP) of $1
Romashka [77]

Answer:

The answer is: 1) II > I > III

Explanation:

<u>Pricing scheme I: $2 million profit</u>

  • Price $150,000
  • Contribution margin = $150,000 - $50,000 = $100,000
  • 35 units sold x $100,000 = $3.5 million
  • profit = $3.5 million - $1.5M = $2 million

<u>Pricing scheme II: 2.25 million profit</u>

  • Price $200,000
  • Contribution margin = $200,000 - $50,000 = $150,000
  • 25 units sold x $150,000 = $3.75 million
  • profit = $3.75 million - $1.5M = $2.25 million

<u>Pricing scheme III: $1.5 million profit</u>

  • Price $250,000
  • Contribution margin = $250,000 - $50,000 = $200,000
  • 15 units sold x $200,000 = $3 million
  • profit = $3 million - $1.5M = $1.5 million

8 0
2 years ago
Consider the all-units quantity discount schedule below. The annual demand is 90,000 units, setup cost is $1000 per order, and a
umka2103 [35]

Answer:

Using the lowest price of $210 offered by the supplier                                                                              

Annual demand (D) = 90,000 units

Set-up cost per order (S) = $1,000

Holding cost per item per annum =  30% x $210 = $63

EOQ = √<u>2DS</u>

                H

EOQ = √<u>2 x 90,000 x $1,000</u>

                   63

EOQ = 1,690 units

The correct answer is C

Explanation:

In this case, there is need to calculate the EOQ using the least price offered by the supplier. The least price gives the minimum total cost. EOQ is calculated as: 2 multiplied by annual demand and set-up cost divided by holding cost. The EOQ of 1,690 units gives the least total cost and thus recommended.

4 0
2 years ago
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