University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 7 - Section 7.2 - Exponential Change and Separable Differential Equations - Exercises - Page 410: 26

Answer

$\approx 585.35$kg

Work Step by Step

Given: $A_0=1000$ and $A= 800$ Now, we have $A=A_0e^{k t}$ Then $k=\dfrac{\ln (0.8)}{10} \implies A=(1000) e^{\frac{\ln (0.8)t}{10}}$ Now, when after another t = 14 hours, that is, $t=14+10 =24$ $A= (1000) e^{\frac{\ln (0.8)}{10}(24)}$ Hence, $A \approx 585.35$kg
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