Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.4 Exponential Growth and Decay - Exercises - Page 349: 1


(a) $$ P(0)= 2000.$$ (b) $$ t=\frac{\ln5}{1.3}.$$

Work Step by Step

(a) The number is given at $ t=0$, so we have $$ P(0)=2000e^0=2000.$$ (b) We have $$10.000=2000e^{1.3t}\Longrightarrow 1.3t=\ln 5\Longrightarrow t=\frac{\ln5}{1.3}.$$
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