Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - 4.4 Applications to Compound Interest - Exercises and Problems for Section 4.4 - Exercises and Problems - Page 167: 3

Answer

a) $8.300 \%$ b) $8.322 \%$ c) $8.328\%$

Work Step by Step

(a) The interest rate per month is $0.08 / 12$. Therefore, the effective interest rate is $$i= 1-\left(1+\frac{0.08}{12}\right)^{12}= 8.300\%$$ ŕ(b) The interest rate per month is $0.08 / 52$. Therefore, the effective interest rate is $$i= 1-\left(1+\frac{0.08}{52}\right)^{52}= 8.322\%$$ (c) The interest rate per month is $0.08 / 365$. Therefore, the effective interest rate is $$i= 1-\left(1+\frac{0.08}{365}\right)^{365}= 8.328\%$$
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