Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.2 Graph Exponential Decay Functions - 7.2 Exercises - Problem Solving - Page 491: 36



Work Step by Step

Let $x$ be the number of years since the purchase. Then our initial amount is $1300$, and the percent decrease is: $r$. Then the equation for the value is: $275=1300(1-r)^4\\(1-r)^4=\frac{275}{1300}\\1-r=\sqrt[4] {\frac{275}{1300}}\\r=1-\sqrt[4] {\frac{275}{1300}}\approx0.323$ Thus $V=1300(1-r)^4=1300(1-0.323)^4=1300(0.677)^4$
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