How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t)=500e-0.153t , where t is the time in years? Round your answer to the nearest hundredth year.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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  • How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t)=500e-0.153t , where t is the time in years? Round your answer to the nearest hundredth year.
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