A certain radioactive material is known to decay at a rate proportional to the amount present. Initially there is 50 mg of the material present. After 2 hours it is observed that the material has lost 10% of its original mass. a) What is the proportionality constant? b) Find an expression for the mass of the material, N, at any time t. c) After how many hours will the mass of the material be decreased from 50 mg to 38 mg?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A certain radioactive material is known to decay at a rate proportional to the amount present. Initially there is 50 mg of the material present. After 2 hours it is observed that the material has lost 10% of its original mass.

a) What is the proportionality constant?

b) Find an expression for the mass of the material, N, at any time t.

c) After how many hours will the mass of the material be decreased from 50 mg to 38 mg?

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