How much money should be invested in an account that earns 9% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
Problem 25PS
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How much money should be invested in an account that earns 9% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)

Expert Solution
Step 1

Given: FV=$10,000

t=4 yearsr=9%n=4 compounded quarterly

Let the money invested is P

FV=P1+rnnt10,000=P1+0.0944×410,000=P1+0.0944×4

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