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

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

Chapter 5 - Logarithmic Functions - 5.2 Logarithms and Exponential Models - Exercises and Problems for Section 5.2 - Exercises and Problems - Page 200: 7

Answer

$\dfrac{14}{5}(1.03046)^t$

Work Step by Step

Recall the property $(a^m)^n=a^{mn}$, so the equation can be rewritten as $$Q=\dfrac{14}{5} (e^{0.03})^t ~~~~(1)$$ Evaluating $e^{0.03}$ yields $1.03046$. Therefore, the equation (1) can be written as $Q=\dfrac{14}{5}(1.03046)^t$
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