Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.3 - Exponential Functions - Practice - Page 858: 7

Answer

(a) $5.08$ percent (b) $46754.26$ dollars

Work Step by Step

(a) After 30 days, $t=30$. Substitute $t$ into the formula given to estimate the expected percent of radioactive material: $y=100(2.7)^{-0.1 \times 30} \approx 5.08$. b) Use the formula: $A = P(1+\frac{r}{n})^{nt}$ Substitute known values from the problem: $A = 23000(1+\frac{0.12}{4})^{24} \approx 46754.26$.
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