College Algebra 7th Edition

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

Chapter 8, Sequences and Series - Section 8.4 - Mathematics of Finance - 8.4 Exercises: 14

Answer

$\$ 3679.09$

Work Step by Step

We are given: $A_{p}=50000, i= \frac{0.08}{2}=0.04, n=10*2=20$ The present value of an annuity is given by: $A_{p}=R \frac{1-(1+i)^{-n}}{i}$ We solve for $R$: $R= \frac{iA_{p}}{1-(1+i)^{-n}}:$ $R=\frac{(0.04)(50000)}{1-(1+0.04)^{-20}}=\$ 3679.09$
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