Mathematics, 13.12.2019 03:31 Boayerik
$2,637 is invested, part at 13% and the rest at 11%. if the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 11% by $65.61, how much is invested at each rate? (round to two decimal places if necessary.)
Answers: 1
![\bf \stackrel{\textit{13\% of 2637}}{\left( \cfrac{13}{100} \right)2637}~~-~~ \stackrel{\textit{11\% of x-2637}}{\left( \cfrac{11}{100} \right)(x-2637)}~~=~~65.61 \\\\\\ 342.81 - 0.11x+290.07 = 65.61\implies 632.88-0.11x = 65.61 \\\\\\ 632.88 = 65.61+0.11x\implies 567.27 = 0.11x\\\\\\ \cfrac{567.27}{0.11}=x\implies 5157=x \\\\[-0.35em] ~\dotfill](/tpl/images/0416/4184/ef85e.png)
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$2,637 is invested, part at 13% and the rest at 11%. if the interest earned from the amount invested...
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