SOLUTION: Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = ​$9000.00​, r​ = ​$10.5%, t​ = 6 months ​ ​$__

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Question 1176672: Determine the present value P you must invest to have the future value A at simple interest rate r after time t.
A = ​$9000.00​, r​ = ​$10.5%, t​ = 6 months

​$__ (Round up to the nearest​ cent as needed.)

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

Hi
Yes!  Use Simple Interest Formula:
 A = P(1 + rt)
 
     


 = $8,551.07(rounded up to nearest cent)

Wish You the Best in your Studies.

Answer by ikleyn(52781)   (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 = ​$9000.00​, r​ = ​$10.5%, t​ = 6 months

​$__ (Round up to the nearest​ cent as needed.)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~


            @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)


9000 = P*(1 + 0.105*0.5)     (0.5 represents half of an year)


9000 = P*1.0525


P =  = 8551.07 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.



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