Answer
t=48.8
Work Step by Step
Given: $A=2400\\r=0.0225\\P=800$
Apply the formula: $A=Pe^{rt}$
Substitute: $2400=800e^{0.0225t}\\e^{0.0225t}=3\\ \ln(3)=\ln(e^{0.0225t})\\\ln(3)=0.0225t\\t=\frac{\ln (3)}{0.0225}\approx48.827\approx48.8$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Problem Solving - Page 521: 58
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