College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.5 - Page 504: 17

Answer

8, 4, 2, 1, 0.5 grams, respectively

Work Step by Step

In the half-life period, half of the mass remains (of the decaying material). After 10 seconds, half of the initial mass, $16\displaystyle \cdot\frac{1}{2}=8$ grams will be present. After 20 seconds, (another 10 s), there will be $8\displaystyle \cdot\frac{1}{2}=4$ grams present. After 30 seconds, (another 10 s), there will be $4\displaystyle \cdot\frac{1}{2}=2$ grams present. After 40 seconds (another 10 s), there will be $2\displaystyle \cdot\frac{1}{2}=1$ grams present. After 50 seconds(another 10 s),, there will be $1\displaystyle \cdot\frac{1}{2}=\frac{1}{2}$ gram present.
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