document.write( "Question 911739: matt invested $3200, part at 6% and part at 12%. after one year, he earned $316 worth of interest. how much did he invest at 12% ? (round to the nearest cent) \n" ); document.write( "

Algebra.Com's Answer #553316 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $3200
\n" ); document.write( "x+y=3200,
\n" ); document.write( "Total yearly interest for the two accounts is: $316
\n" ); document.write( "0.06*x+0.12*y=316
\n" ); document.write( "x=3200-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.06*(3200-y)+0.12*y=316
\n" ); document.write( "Multiply out
\n" ); document.write( "192-0.06*y+0.12*y=316
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.06*y=124
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 2066.67 at 12% earns $248.0 interest
\n" ); document.write( "x=3200-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 1133.33 at 6% earns $68.0 interest
\n" ); document.write( "Check
\n" ); document.write( "0.06*1133.33333+0.12*2066.66667=316
\n" ); document.write( "68.0+248.0=316
\n" ); document.write( "316.0=316
\n" ); document.write( "If 316.0=316 is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeint1
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