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Furkat [3]
3 years ago
15

"The function C(t)=C(1+r)t models the rise in the cost of a product that has a cost of C today, subject to an average yearly inf

lation rate of r for t years. If the average annual rate of inflation over the next 14 years is assumed to be 1.5%, what will the inflation-adjusted cost of a $285,700 boat be in 14 years? Round to two decimal places."
Business
1 answer:
Cloud [144]3 years ago
4 0

Answer:

$351,912.61

Explanation:

Data provided in the question:

function that models the rise in the cost of a product

C(t)=C(1+r)^t

C = $285,700

t = 14 years

r = 1.5% = 0.015

Now,

On substituting the respective values in the given function, we get

inflation-adjusted cost in 14 years i.e C(14) = $285,700(1 + 0.015)¹⁴

or

C(14) = $285,700 × 1.2317

or

C(14) = $351,912.61

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Answer:

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<em>The Second Plan provides better earnings per share.</em>

Explanation:

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Income tax expense                     <u>   (345,600)  </u>

Net Income                                        518,400

<u>Quantity of Common Stock:</u>

$ 1,440,000 / $5 = 288,000

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518,400 / 288,000 = $1.80

2nd Plan:

Income before Interest and taxes 1,008,000

Bonds Payable Interest:              <u>      (72,000)  </u>

Income before taxes                        936,000

Income tax expense                     <u>   (374,400)  </u>

Net Income                                        561,600

Preferred Shares Dividends            (120,000)

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120,000 x $1 = 120,000

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Answer:

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