College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Test - Page 502: 21

Answer

$\approx250.39$

Work Step by Step

We know that $34=50e^{k\cdot30}\\0.68=e^{30k}\\30k=\ln{0.68}\\k=\frac{\ln{0.68}}{30}\approx-0.0128554$ Thus $2=50e^{-0.0128554\cdot t}\\0.04=e^{-0.0128554\cdot t}\\-0.0128554=\ln0.04\\t=\frac{\ln{0.04}}{-0.0128554}\approx250.39$
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