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: 14

Answer

a) $6 \%$ b) $6.136 \%$ c) $6.183 \%$

Work Step by Step

(a) The effective annual rate for an account paying $6\%$ compounded annually is $6 \%$ (b) The interest rate per quarter is $6/ 4$. Therefore, the effective interest rate is $$i= \left(1+\frac{6}{4}\right)^{4}-1= 6.136\%$$ (c) The interest rate per day is $6/ 365$. Therefore, the effective interest rate is $$i= \left(1+\frac{6}{365}\right)^{365}-1= 6.183 \%$$
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