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The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by R(t)=200,000e 0.21t 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 15 years after the initial purchase. R' (15) = c. Find the rate at which the resale value is changing 20 years after the initial purchase. R' (20) =

The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by R(t)=200,000e 0.21t 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 15 years after the initial purchase. R' (15) = c. Find the rate at which the resale value is changing 20 years after the initial purchase. R' (20) =

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by -0.21t = R(t) 200,000e 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 15 years after the initial purchase. R (15) c. Find the rate at which the resale value is changing 20 years after the initial purchase. R (20)
Transcribed Image Text:The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by -0.21t = R(t) 200,000e 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 15 years after the initial purchase. R (15) c. Find the rate at which the resale value is changing 20 years after the initial purchase. R (20)
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