The equation A(t) = 2000e0.045t gives the balance after t years of an initial investment of 2000 dollars which pays 4.50% compounded continuously. a. Find a formula for dA dt b. Find and interpret A'(5). Include appropriate units. c. Compare the approximation of $113 to the actual change. Report your answer to two decimal places.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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The equation A(t) = 2000e0.045t gives the balance after t years of an initial investment of 2000 dollars which pays 4.50% compounded
continuously.
dA
dt
b. Find and interpret A'(5). Include appropriate units.
c. Compare the approximation of $113 to the actual change. Report your answer to two decimal places.
a. Find a formula for
Transcribed Image Text:The equation A(t) = 2000e0.045t gives the balance after t years of an initial investment of 2000 dollars which pays 4.50% compounded continuously. dA dt b. Find and interpret A'(5). Include appropriate units. c. Compare the approximation of $113 to the actual change. Report your answer to two decimal places. a. Find a formula for
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