Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 103: 39

Answer

$\$50,000$ at $1.5\%$ and $\$90,000$ at $4\%$.

Work Step by Step

Step 1. After paying tax, she got $200,000\times0.7=140,000$ Step 2. Assume $x$ amount at $1.5\%$, thus the amount at $4\%$ would be $140,000-x$ Step 3. The total annual interest can be found as $0.015x+0.04(140,000-x)=4350$ Step 4. Solve the equation: $0.015x-0.04x+5600=4350$ or $0.025x=1250$, thus $x=50,000$ Step 5. Conclusion: investments $\$50,000$ at $1.5\%$ and $\$90,000$ at $4\%$.
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