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3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.

3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.
Transcribed Image Text:3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.
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