Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Problem Solving - Page 298: 69


Answer C

Work Step by Step

Given $S=858t^2+1412t+4982$ Instead of 50 million, we will set $S=50000$ Solve the equation: $858t^2+1412t+4982=50000\\ \Leftrightarrow 858t^2+1412t-45018=0\\ \Leftrightarrow t=\frac{-1412 \pm \sqrt 156495520}{1716}\\ \Leftrightarrow t\approx6.5 \land t=-8.1$ Since $t$ cannot be negative, we will ignore the negative solutions. For $t$ is a number of years since $1990$, $y=6.5$. This means the answer is $1996$. Answer C.
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