5. A sample of radioactive material decays at a rate of 5% per year. Suppose at t=0 there's 10 grams of this material. a) Write an equation for the Mass (M) of material at any time (t). b) c) Determine the mass at the end of the 20th year. What is the half-life of this material?

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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5.
A sample of radioactive material decays at a rate of 5% per year. Suppose at t=0 there's
10 grams of this material.
a)
Write an equation for the Mass (M) of material at any time (t).
b)
Determine the mass at the end of the 20th year.
What is the half-life of this material?
Transcribed Image Text:5. A sample of radioactive material decays at a rate of 5% per year. Suppose at t=0 there's 10 grams of this material. a) Write an equation for the Mass (M) of material at any time (t). b) Determine the mass at the end of the 20th year. What is the half-life of this material?
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