SOLUTION: A company wants to invest $180,000 in three accounts, one bearing 4.5%, another 6%, and another 8% interest. Twice as much will be invested at 4.5% as at 8%, and the total interes

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A company wants to invest $180,000 in three accounts, one bearing 4.5%, another 6%, and another 8% interest. Twice as much will be invested at 4.5% as at 8%, and the total interes      Log On

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Question 31372: A company wants to invest $180,000 in three accounts, one bearing 4.5%, another 6%, and another 8% interest. Twice as much will be invested at 4.5% as at 8%, and the total interest earned the first year is $10,400. How much should be invested at each rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
the equation is
+.045%2A+2+%2A+x+%2B+.08+%2A+x+%2B+%28180%2A10%5E3+-+3%2Ax%29%2A+.06+=+10.4+%2A10%5E3
.09%2Ax+%2B+.08%2Ax+-+.18%2Ax+%2B+10.8%2A10%5E3+=+10.4%2A10%5E3
.17%2Ax+-+.18%2Ax+=+-400
-.01%2Ax+=+-400
x+=+40%2A10%5E3
the amounts to be invested are
80K @ 4.5%
40K @ 8%
60K @ 6%
check

3.6K + 3.2K + 3.6K = 10.4K
OK