SOLUTION: Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = ​$19,000​, r​ = ​$6.5%, t​ = 4 years ​ The pre

Algebra ->  Equations -> SOLUTION: Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = ​$19,000​, r​ = ​$6.5%, t​ = 4 years ​ The pre      Log On


   



Question 1176671: Determine the present value P you must invest to have the future value A at simple interest rate r after time t.
A = ​$19,000​, r​ = ​$6.5%, t​ = 4 years

The present value that must be invested to get ​$19,000 after 4 years at an interest rate of ​6.5% is ​$__. ​(Round up to the nearest​ cent.)

Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

Yes!  Use Simple Interest Formula:
 A = P(1 + rt)
 P+=+A%2F%281+%2B+rt%29
     
P+=+19000%2F%281+%2B+.065%2A4%29 = $15,079.37 (rounded up to nearest cent)

Wish You the Best in your Studies.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Determine the present value P you must invest to have the future value A at simple interest rate r after time t.
A = ​$19,000​, r​ = ​$6.5%, t​ = 4 years

The present value that must be invested to get ​$19,000 after 4 years at an interest rate of ​6.5% is ​$__. ​
(Round up to the nearest​ cent.)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~


            @ewatrrr solved the problem INCORRECTLY.

            She mistakenly used the formula for the compound account,
            although the problem asked to find the solution for a simple interest.

            I came to bring a correct solution.


A = P*(1+r*t)


19000 = P*(1 + 0.065*4)     


9000 = P*1.26


P = 19000%2F1.26 = 15079.37 dollars.     ANSWER

Solved.

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To see many other similar and/or different solved problems on simple interest accounts,  look into the lesson
    - Simple interest percentage problems
in this site.