You plan to invest in an account which pays 4.5% compounded continuously. If the investment period is for 9 years, then A(P) =Pe0.045•9=Pe0.405 gives the total balance of P dollars. a. Find a formula for A′(P) . b. Find and interpret A′(8000). c. Compare the approximation to the actual change.
You plan to invest in an account which pays 4.5% compounded continuously. If the investment period is for 9 years, then A(P) =Pe0.045•9=Pe0.405 gives the total balance of P dollars. a. Find a formula for A′(P) . b. Find and interpret A′(8000). c. Compare the approximation to the actual change.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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You plan to invest in an account which pays 4.5% compounded continuously.
If the investment period is for 9 years, then
A(P) =Pe0.045•9=Pe0.405 gives the total balance of P dollars.
a. Find a formula for A′(P)
.
.
b. Find and interpret A′(8000).
c. Compare the approximation to the actual change.
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