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. a. How much money will they have accumulated 30 years from now

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.

First, we will determine the future value of the annual deposit investment. We need to use the following formula:

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

A= annual deposit

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

FV= $339,849.63

Now, for the $10,000:

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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