At the age of 32, to save for retirement, you decide to deposit $70 at the end of each month in an IRA that pays 4.5% compounded monthly. a. Use the following formula to determine how much you will have in the IRA when you retire at age 65. A= A= P[(1+r)-1] r -|C b. Find the interest. nt or D a. You will have approximately $ in the IRA when you retire. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The interest is approximately $ (Use the answer from part a to find this answer. Round to the nearest dollar as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 62SE: Rachael deposits $1500 into a retirement fund each year. The fund earns 8.2% annual interest,...
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Question
At the age of 32, to save for retirement, you decide to
deposit $70 at the end of each month in an IRA that pays
4.5% compounded monthly.
a. Use the following formula to determine how much you
will have in the IRA when you retire at age 65.
A=
A=
P[(1+r)-1]
r
L|C
b. Find the interest.
nt
or
a. You will have approximately $ in the IRA
when you retire.
(Do not round until the final answer. Then round to
the nearest dollar as needed.)
b. The interest is approximately $
(Use the answer from part a to find this answer.
Round to the nearest dollar as needed.)
Transcribed Image Text:At the age of 32, to save for retirement, you decide to deposit $70 at the end of each month in an IRA that pays 4.5% compounded monthly. a. Use the following formula to determine how much you will have in the IRA when you retire at age 65. A= A= P[(1+r)-1] r L|C b. Find the interest. nt or a. You will have approximately $ in the IRA when you retire. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The interest is approximately $ (Use the answer from part a to find this answer. Round to the nearest dollar as needed.)
Expert Solution
Step 1

Formula Used- 

A = P1 + rnnt - 1rn where

A is the Future value

P is the Deposit value at the end of the compounded period

r is Annual rate of interest

n is the number of times the value is compounded per year

t is number of years

 

Given- 

P = $70r = 4.5% = 4.5100 = 0.045n = 12t = 65 - 32 = 33

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