Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - 4.5 The Number e - Exercises and Problems for Section 4.5 - Exercises and Problems - Page 175: 47

Answer

a) $A=50 e^{-0.14 t}$ b) $12.330$ mg c) The year $2025$

Work Step by Step

(a) The substance decays by the formula $$ A=50 e^{-0.14 t} $$ b) At $t=10$, we have $A=50 e^{-0.14(10)}=12.330 \mathrm{mg}$. c) Graph the decay function and $A=5$. At approximately $t=16.45$, which corresponds to the year $2025$ .
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