If you need $40,000 in your bank account in 8 years, how much must be deposited now? The interest rate is 12%, compounded continuously. Round your answer to the nearest dollar. The deposit required is $___________.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
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If you need $40,000 in your bank account in 8 years, how much must be deposited now? The interest rate is 12%, compounded continuously.

Round your answer to the nearest dollar.

The deposit required is $___________.
Expert Solution
Step 1

For compounded continuously

P=P0ert

where,

P0= initial depositr=interest rate=12%=0.12t=time period=8 yearsP=final amount=$ 40000

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