Janet's parents want her to go to the same college that they did. They decided to pay a lump sum payment today of $94000 so she will be able to make 6 years of semiannual withdrawals. The college provide an annuity of 5%, compounded semiannual. If Janet will make her first withdrawal in 9 years, what is the size of each withdrawal?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Janet's parents want her to go to the same college that they did. They decided to pay a lump sum payment today of $94000 so she will be able to make 6 years of semiannual withdrawals. The college provide an annuity of 5%, compounded semiannual. If Janet will make her first withdrawal in 9 years, what is the size of each withdrawal?

Expert Solution
Step 1

Lump sum payment(P) is $94000

Rate of interest(R) is 5% compounded semiannual

Time(T) in which she makes her first withdrawal is 9 years

We have to find the amount(A) after 9 years.

A = P1+R100T

     =  940001+510018                            . . . [ As rate given for semiannual , so we T becomes 18 ]

     = 940001+12018

      = 94000212018

      =  $226222.207967

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