Suppose the function f has an initial value of 1,000 and a decay rate of 5%. Let the function g have an initial value of 400 and increase at a growth rate of 17%. Estimate a value of x, to the nearest tenth, for which f(x) = g(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
Question
Suppose the function f has an initial value of 1,000 and a decay rate of 5%. Let the function g have an initial value of 400 and increase at a growth rate of 17%. Estimate a value of x, to the nearest tenth, for which f(x) = g(x).
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