A radioactive material is known to decay at the rate proportional to the amount present. If initially there is 50 mg of the material and after 2 hours, it is observed that the material has lost 10% of its original mass. a. Find the expression for the approximate amount of radioactive material present at any time t. b. Determine the mass of the material after 4 hours. c. Determine the half-life of the material.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A radioactive material is known to decay at the rate proportional to the amount present. If initially there is 50 mg of the material and after 2 hours, it is observed that the material has lost 10% of its original mass.
a. Find the expression for the approximate amount of radioactive material present at any time t.
b. Determine the mass of the material after 4 hours.
c. Determine the half-life of the material.

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