SOLUTION: A bank offers a CD that pays a simple interest rate of 7.5​%. How much must you put in this CD now in order to have ​$4 comma 000 for a​ home-entertainment center in 3 years.

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Question 1206375: A bank offers a CD that pays a simple interest rate of 7.5​%. How much must you put in this CD now in order to have ​$4 comma 000 for a​ home-entertainment center in 3 years.
Answer by ikleyn(52769) About Me  (Show Source):
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A bank offers a CD that pays a simple interest rate of 7.5​%. How much must you put
in this CD now in order to have ​$4 comma 000 for a​ home-entertainment center in 3 years.
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The formula for the future value of a simple interest deposit is

    FV = X%2A%281+%2B+rt%29.


Here FV = $4000 (given);  X is the unknown value of the one-time amount deposited today;
r is the annual rate (0.075, given);  t is the time in years (3 years, given).


From this formula,  X = %28FV%29%2F%281%2B0.075%2A3%29 = 4000%2F%281+%2B+0.075%2A3%29 = 3265.31  (rounded).


ANSWER.  $3265.31 should be deposited today.

Solved.