document.write( "Question 906670: Susan Marciano invested part of her $23,000 bonus in a fund that paid 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 $2,040.
\n" ); document.write( "what's the amount invested at10%? whats the amount invested in stock is? \n" ); document.write( "

Algebra.Com's Answer #550001 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $23000
\n" ); document.write( "x+y=23000,
\n" ); document.write( "Total yearly interest for the two accounts is: $2040
\n" ); document.write( "0.1*x+-0.03*y=2040
\n" ); document.write( "x=23000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.1*(23000-y)+-0.03*y=2040
\n" ); document.write( "Multiply out
\n" ); document.write( "2300-0.1y+-0.03*y=2040
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.13*y=-260
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 2000.00 at -3%
\n" ); document.write( "x=23000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$21000.00 at 10%
\n" ); document.write( "Check
\n" ); document.write( "0.1*21000+-0.03*2000=2040
\n" ); document.write( "2100+-60=2040
\n" ); document.write( "2040=2040
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
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