document.write( "Question 905264: 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 #549130 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! 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( "3000-0.10y-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\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |