College Algebra 7th Edition

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

Chapter 1, Equations and Graphs - Section 1.4 - Solving Quadratic Equations - 1.4 Exercises - Page 124: 74

Answer

$50$.

Work Step by Step

The equation: $0.1x(300-x)=1250\\x(300-x)=12500\\-x^2+300x-12500=0\\x^2-300x+12500=0\\(x-150)^2=10000$. If we take the square root of both sides we get:$x-150=\pm100$. Thus $x=250$ or $x=50$, but we know that $x$ is at most $200$, thus the answer is $50$.
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