Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 336: 4

Answer

P stands for the Principal amount r stands for rate (decimal form) of interest n stands for number of times compounded annually t stands for the number of years A(t) stands for the amount after t years $112.65

Work Step by Step

Formula $A(t) = P(1 + \frac {r}{n})^{nt}$ This is a fill-in-the-blank question P stands for the Principal amount r stands for rate (decimal form) of interest n stands for number of times compounded annually t stands for the number of years A(t) stands for the amount after t years With $100$ compounded quarterly at 6% for two years, P = 100, r = 0.06, n = 4, and t = 2 $A(t) = 100(1 + \frac {0.06}{4})^{4(2)}$ = 112.65
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