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   Ralph invests $15,600 into two different acconunts; a savings account and checking account. The savings account earns 8% interest. The checking account earns 9% interest. After 1 year he earned $1334.28 interest. How much did Ralph invest into each account?

 Apr 29, 2015

Best Answer 

 #1
avatar+33654 
+10

savings + checking = 15600

0.08*savings + 0.09*checking = 1334.28

 

Use the first in the second:

0.08*(15600 - checking) + 0.09*checking = 1334.28

0.01*checking + 0.08*15600 = 1334.28

0.01*checking = 1334.28 - 1248

0.01*checking = 86.28

 

checking = 86.28/0.01 = $8628

savings = 15600 - 8628 = $6972

.

 Apr 29, 2015
 #1
avatar+33654 
+10
Best Answer

savings + checking = 15600

0.08*savings + 0.09*checking = 1334.28

 

Use the first in the second:

0.08*(15600 - checking) + 0.09*checking = 1334.28

0.01*checking + 0.08*15600 = 1334.28

0.01*checking = 1334.28 - 1248

0.01*checking = 86.28

 

checking = 86.28/0.01 = $8628

savings = 15600 - 8628 = $6972

.

Alan Apr 29, 2015

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