Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set - Page 898: 56

Answer

8.94 years

Work Step by Step

$y=y_0*e^{0.005t}$ $y_0=12910000$ $y=13500000$ $y=y_0*e^{0.005t}$ $13500000=12910000*e^{0.005t}$ $13500000/12910000=12910000*e^{0.005t}/12910000$ $1350/1291=e^{0.005t}$ $1.0457=e^{0.005t}$ $ln {1.0457} = ln e^{0.005t}$ $ln {1.0457} = 0.005t$ $.044687 = 0.005t$ $.044687/.005=0.005t/.005$ $8.9374 =t$
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