SOLUTION: Phyllis invested $13,000, a portion earning a simple interest rate of 9 1/5% per year and the rest earning a rate of 9% per year. After one year the total interest earned on thes

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Phyllis invested $13,000, a portion earning a simple interest rate of 9 1/5% per year and the rest earning a rate of 9% per year. After one year the total interest earned on thes      Log On

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Question 1020884: Phyllis invested $13,000, a portion earning a simple interest rate of
9 1/5% per year and the rest earning a rate of 9% per year. After one year the total interest earned on these investments was $1,186.00. How much money did she invest at each rate?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount invested @ 9%
+13000+-+x+ = the amount invested @ 9.2%
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+.09x+ = interest earned per year @ 9%
+.092%2A%28+13000+-+x+%29+ = interest earned per year @ 9.2%
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+.09x+%2B+.092%2A%28+13000+-+x+%29+=+1186+
+.09x+%2B+1196+-+.092x+=+1186+
+.002x+=+1196+-+1186+
+.002x+=+10+
+x+=+5000+
and
+13000+-+x+=+13000+-+5000+
+13000+-+x+=+8000+
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$5,000 = the amount invested @ 9%
$8,000 = the amount invested @ 9.2%
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check:
+.09x+%2B+.092%2A%28+13000+-+x+%29+=+1186+
+.09%2A5000+%2B+.092%2A8000+=+1186+
+450+%2B+736+=+1186+
+1186+=+1186+
OK