Suppose you found a CD that pays 3.9% interest compounded monthly for 6 years. If you deposit $8,000 now, how much will you have in the account in 6 years? (Round to the nearest cent.) 10,101.50 What was the interest earned? (Round to the nearest cent.) $ 2,101.50 Now suppose that you would like to have $20,000 in the account in 6 years. How much would you need to deposit now? (Round to the nearest cent.)

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 56SE: To get the best loan rates available, the Riches want to save enough money to place 20% down on a...
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Suppose you found a CD that pays 3.9% interest compounded monthly for 6 years.
If you deposit $8,000 now, how much will you have in the account in 6 years? (Round to the nearest cent.)
10,101.50
What was the interest earned? (Round to the nearest cent.)
2,101.50
Now suppose that you would like to have $20,000 in the account in 6 years. How much would you need to
deposit now? (Round to the nearest cent.)
%24
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Transcribed Image Text:Suppose you found a CD that pays 3.9% interest compounded monthly for 6 years. If you deposit $8,000 now, how much will you have in the account in 6 years? (Round to the nearest cent.) 10,101.50 What was the interest earned? (Round to the nearest cent.) 2,101.50 Now suppose that you would like to have $20,000 in the account in 6 years. How much would you need to deposit now? (Round to the nearest cent.) %24 Question Help: Video 1 DVideo 2 Message instructor Submit Question
Expert Solution
Step 1

P=principle=$8000

r=interest rate= 3.9%=0.039

t=time=6 years

n=number of times compounded in a year=12

A=annuity=?

Using the annuity formula we get:

A=P1+rnntA=80001+0.0391212×6A=10105.3209671A10105.32

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