Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - Review Exercises - Page 154: 97

Answer

$x=143202.5$ If you decide to round up: $x=143203~units$

Work Step by Step

$p=42-\sqrt {0.001x+2}$ If $p=29.95$: $29.95=42-\sqrt {0.001x+2}$ $\sqrt {0.001x+2}=42-29.95$ $\sqrt {0.001x+2}=12.05~~$ (square both sides): $(\sqrt {0.001x+2})^2=12.05^2~~$ $0.001x+2=145.2025$ $0.001x=143.2025$ $x=\frac{143.2025}{0.001}=143202.5$ Test the solution: $p=42-\sqrt {0.001(143202.5)+2}=42-12.05=29.95$
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