A certain radioactive material is known to decay at a rate proportional to the amount present. A block of this material originally having a mass of 100 grams is observed after 20 years to have a mass of only 80 grams. Find the half-life of this radioactive material. (Recall that the half-life is the length of time required for the material to be reduced by a half.) A. 54.343 years B. 56.442 years C. 59.030 years D. 61.045 years E. 62.126 years

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 certain radioactive material is known to decay at a rate proportional to the amount
present. A block of this material originally having a mass of 100 grams is observed
after 20 years to have a mass of only 80 grams. Find the half-life of this radioactive
material.
(Recall that the half-life is the length of time required for the material to be reduced
by a half.)
A. 54.343 years
B. 56.442 years
C. 59.030 years
D. 61.045 years
E. 62.126 years
Transcribed Image Text:A certain radioactive material is known to decay at a rate proportional to the amount present. A block of this material originally having a mass of 100 grams is observed after 20 years to have a mass of only 80 grams. Find the half-life of this radioactive material. (Recall that the half-life is the length of time required for the material to be reduced by a half.) A. 54.343 years B. 56.442 years C. 59.030 years D. 61.045 years E. 62.126 years
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