A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium decomposes to 96 mg.  How many mg will be left after another 100 years? What is the “half life” (the time required to decompose half the initial amount) of radium?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium decomposes to 96 mg. 

How many mg will be left after another 100 years?

What is the “half life” (the time required to decompose half the initial amount) of radium?

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