Suppose you want to have $500,000 for retirement in 35 years. Your account earns 9% interest. a) How much would you need to deposit in the account each month? b) How much interest will you earn? Question Help: DVideo Message instructor

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section: Chapter Questions
Problem 14PTTS
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Suppose you want to have $500,000 for retirement in 35 years. Your account earns 9% interest.
a) How much would you need to deposit in the account each month?
b) How much interest will you earn?
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Transcribed Image Text:Suppose you want to have $500,000 for retirement in 35 years. Your account earns 9% interest. a) How much would you need to deposit in the account each month? b) How much interest will you earn? 24 Question Help: Video Message instructor Submit Question %24
Expert Solution
Step 1

First, convert R percent to r a decimal
r = R/100
r = 9%/100
r = 0.09 per year,

Then, solve our equation for P
P = A / (1 + r/n)nt
P = 55,000.00 / (1 + 0.09/12)(12)(35)
P = 55,000.00 / (1 + 0.0075)(420)
P = $ 2,384.73

Summary:
The principal investment required to get
a total amount of $ 55,000.00
from compound interest at a rate of 9% per year
compounded 12 times per year
over 35 years
is $ 2,384.73.

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