The resale value R (m dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by R(t) = 700,000e 0 224 a. What is the decay rate of the resale value? Note: The decay rate will be negative. b. Find the rate at which the resale value is changing 5 years after the initial purchase. R' (5) c. Find the rate at which the resale value is changing 15 years after the initial purchase. R' (15)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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The resale value R (m dollars) of a particular type of laser cutting tool t years after its initial purchase is
approximated by
R(t) = 700,000e 0 224
a. What is the decay rate of the resale value? Note: The decay rate will be negative.
b. Find the rate at which the resale value is changing 5 years after the initial purchase.
R'(5)
c. Find the rate at which the resale value is changing 15 years after the initial purchase.
R' (15)
Transcribed Image Text:The resale value R (m dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by R(t) = 700,000e 0 224 a. What is the decay rate of the resale value? Note: The decay rate will be negative. b. Find the rate at which the resale value is changing 5 years after the initial purchase. R'(5) c. Find the rate at which the resale value is changing 15 years after the initial purchase. R' (15)
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