A total of \12{,}000$ is split between two simple-interest accounts, one paying $5\%$ per year and the other $9\%$ per year. The total interest after one year is $\. How much is invested at ?
Answer and explanation
Correct answer: E. \4{,}500$
- Step 1: Let be the principal amount invested at , so the principal invested at is .
- Step 2: Set up the annual interest equation: . Expanding gives .
- Step 3: Solve for : . Thus, \4{,}5009\%$.
Answer
\4{,}500$.
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