document.write( "Question 905270: Susan Marciano part of her $30,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,440? \n" ); document.write( "

Algebra.Com's Answer #549117 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $30000
\n" ); document.write( "x+y=30000,
\n" ); document.write( "Total yearly interest for the two accounts is: $1440
\n" ); document.write( "0.1*x+-0.03*y=1440
\n" ); document.write( "x=30000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.1*(30000-y)+-0.03*y=1440
\n" ); document.write( "Multiply out
\n" ); document.write( "3000-0.1y+-0.03*y=1440
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.13*y=-1560
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$12000.00 at -3%
\n" ); document.write( "x=30000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$18000.00 at 10%
\n" ); document.write( "Check
\n" ); document.write( "0.1*18000+-0.03*12000=1440
\n" ); document.write( "1800+-360=1440
\n" ); document.write( "1440=1440
\n" ); document.write( " \n" ); document.write( "

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