College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 373: 58

Answer

a) $2628.17$ b) $2694.7$ c) $2904.57$

Work Step by Step

In $A(t)=P(1+\frac{r}{n})^{nt}$ for compound interest $P,r,n,t$ respectively stand for the principal, interest rate per year, the number of times the interest is compounded per year and the number of years. $A(t)$ is the amount after $t$ years. So if we invest $P=2500$ at an interest rate of $r=0.025$ compounded daily ($n=365$), the amount after $t$ years is: a) $A(2)=2500(1+\frac{0.025}{365})^{365(2)}\approx2628.17$ b) $A(3)=2500(1+\frac{0.025}{365})^{365(3)}\approx2694.7$ c) $A(6)=10000(1+\frac{0.03}{2})^{6(15)}\approx2904.57$
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