document.write( "Question 1191881: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 2.1 % interest, and stocks pay 8.4 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 4147.5 , how much was invested in each account? \n" ); document.write( "
Algebra.Com's Answer #823805 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x=stocks and income is 0.084x \n" ); document.write( "bonds and CDs together are $85000-x. Let CDs be y and bonds y+25000 \n" ); document.write( "y+25000+y=85000-x \n" ); document.write( "2y=60000-x \n" ); document.write( "y=30000-0.5x \n" ); document.write( "CDs are 30000-0.5x and income is (30000-0.5x)(0.0525)=1575-0.02625x \n" ); document.write( "bonds are 55000-0.5x and income is (55000-0.5x)(0.021)=1155-0.0105x\r \n" ); document.write( "\n" ); document.write( "add those three terms to get $4147.5-0.04725x=$2730 \n" ); document.write( "-0.04725x=-1417.5 \n" ); document.write( "x=$30000 \n" ); document.write( "so $30000 in stocks for income of $2520 \n" ); document.write( "$15000 in CDs for income of $787.50 \n" ); document.write( "$40000 in bonds for income of $840 \n" ); document.write( " |