document.write( "Question 909467: A man invests $350,000, part of it at 9% and the other part at 12%. How much did he invest at each rate if he receives in one year a total interest of $36,000? \n" ); document.write( "

Algebra.Com's Answer #551896 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $350000
\n" ); document.write( "x+y=350000,
\n" ); document.write( "Total yearly interest for the two accounts is: $36000
\n" ); document.write( "0.09*x+0.12*y=36000
\n" ); document.write( "x=350000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.09*(350000-y)+0.12*y=36000
\n" ); document.write( "Multiply out
\n" ); document.write( "31500-0.09*y+0.12*y=36000
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.03*y=4500
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$150000.00 at 12%
\n" ); document.write( "x=350000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$200000.00 at 9%
\n" ); document.write( "Check
\n" ); document.write( "0.09*200000+0.12*150000=36000
\n" ); document.write( "18000+18000=36000
\n" ); document.write( "36000=36000
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "code int1
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