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Mashutka [201]
3 years ago
14

A couple thinking about retirement decide to put aside $3,000 each year in a savings plan that earns 8% interest. In 5 years the

y will receive a gift of $10,000 that also can be invested. a. How much money will they have accumulated 30 years from now
Business
1 answer:
aleksley [76]3 years ago
7 0

Answer:

Total future value= $408,334.38

Explanation:

Giving the following information:

A couple thinking about retirement decide to put aside $3,000 each year in a savings plan that earns 8% interest. In 5 years they will receive a gift of $10,000 that also can be invested.

F<u>irst, we will determine the future value of the annual deposit investment. We need to use the following formula:</u>

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

A= annual deposit

FV= {3,000*[(1.08^30) - 1]} / 0.08

FV= $339,849.63

<u>Now, for the $10,000:</u>

<u></u>

FV= PV*(1+i)^n

FV= 10,000*(1.08^25)

FV= $68,484.75

Total future value= 339,849.63 + 68,484.75

Total future value= $408,334.38

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