Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set - Page 591: 45

Answer

9.92 years

Work Step by Step

We are asked to find how long it would take 600 dollars to double at 7 percent interest, compounded monthly. We get: $A=P(1+(.07/12))^{12t}$ We know that A/P is 2, so: $2 = (1+(.07/12))^{12t}$ $12t= log_{(1+(.07/12))}(2)$ 9.92 years
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