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Brilliant_brown [7]
3 years ago
15

Henry Hitchcock is 40 years old today and he wishes to accumulate $497,000 by his 62 nd birthday so he can retire to his summer

place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his 40 th through his 61 th birthdays. What annual deposit must Henry make if the fund will earn 9% interest compounded annually
Business
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

Annual deposit= $7,904.78

Explanation:

Giving the following information:

Future Value (FV)= $497,000

Number of periods (n)= 22 years

Intesrest rate (i)= 9% compounded annually

<u>To calculate the annual deposit, we need to use the following formula:</u>

<u></u>

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (497,000*0.09) / [(1.09^22) - 1]

A= $7,904.78

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Answer:

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Explanation:

Assuming a linear depreciation model, depreciation will occur at the same rate each year. Since the total after 15 years is 90% of the original value, the percentage depreciated per year is given by:

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