Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.7 Financial Models - 5.7 Assess Your Understanding - Page 320: 1

Answer

$\$15$

Work Step by Step

The simple interest formula where $r$ is the rate of interest, $t$ is the time in years is, $P$ is the principal, $A$ is the amount you get back after $t$ years: $A=P(1+rt). $ Here we have: $P=\$500$ $r=6\%=0.06$. $t=0.5$. Substitute these values into the formula above to obtain: $A=500(1+0.5\cdot0.06)=500(1+0.03)=500\cdot1.03=\$515$. Therefore the interest is: $515-500=\$15$
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