An investment of $5000 is made at 6% compounded annually. The amount of money in the investment is modeled by the equation A(t) = 5000(1.06)t where A(t) is the amount the investment is currently worth and t is the number of years since the investment was started. How do you find the instantaneous rate of change in the value of the investment at 7 years?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.7: Writing Exponential Functions
Problem 31HP
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An investment of $5000 is made at 6% compounded annually. The amount of money in the investment is modeled by the equation A(t) = 5000(1.06)t where A(t) is the amount the investment is currently worth and t is the number of years since the investment was started. How do you find the instantaneous rate of change in the value of the investment at 7 years?

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