What is the value of a $200 investment which earns continuous compound interest of 2.5% annually for 20 years? Round your answer down 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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What is the value of a $200 investment which earns continuous compound interest of 2.5% annually for 20 years? Round your answer down to the nearest cent.

Expert Solution
Step 1

It is given that the initial principal balance is $200 and the rate of interest of 2.5% annually.

The time period is 20 years.

The amount A=P1+rnnt Where P is principal, the rate of interest is 2.5 % per annually, time period t =20.

Substitute P=200, r=2.5100=0.025, t=20 and n=1 in A=P1+rnnt,

A=2001+0.02520A=2001.02520A=2001.6386A327.72A$327 and 72 cent.

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