0.06t The equation A(t) = 2000 e gives the balance after t years of an initial investment of 2000 dollars which pays 6.00% compounded continuously. dA a. Find a formula for dt b. Find and interpret A'(5). Include appropriate units. C. Compare the approximation of $162 to the actual change. Report your answer to two decimal places.

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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Can you help me on this part a,b, and c.

0.06t
The equation A(t) = 2000 e
gives the balance after t years of an initial investment of 2000 dollars which pays 6.00% compounded continuously.
dA
a. Find a formula for
dt
b. Find and interpret A'(5). Include appropriate units.
C. Compare the approximation of $162 to the actual change. Report your answer to two decimal places.
Transcribed Image Text:0.06t The equation A(t) = 2000 e gives the balance after t years of an initial investment of 2000 dollars which pays 6.00% compounded continuously. dA a. Find a formula for dt b. Find and interpret A'(5). Include appropriate units. C. Compare the approximation of $162 to the actual change. Report your answer to two decimal places.
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