Mathematics, 29.06.2019 04:10 katelynalivia
Two certificates of deposit pay interest that differ by 3%. money invested for one year in the first cd earns $240 interest. the same principal invested in the other cd earns $360. find the two rates of interest. smaller value and larger value (%)
Answers: 1
![\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\](/tpl/images/0029/6800/d386c.png)
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