document.write( "Question 913394: Dylan has $16000 invested in two accounts; one account pays 7.5% and the other pays 6.5% interest. If he received $1126 in interest in one year, how much does he have interested in each account? \n" ); document.write( "

Algebra.Com's Answer #554482 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $16000
\n" ); document.write( "x+y=16000,
\n" ); document.write( "Total yearly interest for the two accounts is: $1126
\n" ); document.write( "0.075*x+0.065*y=1126
\n" ); document.write( "x=16000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.075*(16000-y)+0.065*y=1126
\n" ); document.write( "Multiply out
\n" ); document.write( "1200.0-0.075*y+0.065*y=1126
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.01*y=-74.0
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$7400.00 at 6.5% earns $481.00 interest
\n" ); document.write( "x=16000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$8600.00 at 7.5% earns $645.00 interest
\n" ); document.write( "Check
\n" ); document.write( "0.075*8600+0.065*7400=1126
\n" ); document.write( "645.0+481.0=1126
\n" ); document.write( "1126.0=1126
\n" ); document.write( "If 1126.0=1126 is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeint1
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