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mrs.wong invests a total of 10970 in two savings accounts. one account yields 8% simple interest and the other 9% simple interest. she earned a total of $898.71 interest for the year. how much was invested in the *% account

Respuesta :

j4cek
x:  in the 8% account
10970-x: in the 9% account
[tex]x\cdot 0.08+(10970-x)\cdot 0.09=898.71[/tex]
[tex]x\cdot 0.08+10970\cdot 0.09 -x\cdot 0.09=898.71[/tex]
[tex]-x\cdot 0.01+987.3=898.71[/tex]
[tex]x\cdot 0.01=987.3-898.71[/tex]
[tex]x\cdot 0.01=88.59[/tex]
[tex]\boxed{x=8859}[/tex]
[tex]10970-x=10970-8859=2111[/tex]
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Answer:
$8859 invested in the 8% account
$2111 invested in the 9% account

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