document.write( "Question 428429: Carl invested $10,000, part in a CD paying 8.5% annual interest, the rest in a mutual fund paying 7% annual interest. The annual income from the CD is $200 more than the annual income from the mutual fund. How much money was put into each type of investment? \n" ); document.write( "
Algebra.Com's Answer #297802 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 8.50% per annum \n" ); document.write( "Part II 7.00% per annum \n" ); document.write( " \n" ); document.write( "x+y=10000 ------------------------1 \n" ); document.write( "8.50%x-7.00%y=$200.00 \n" ); document.write( "Multiply by 100 \n" ); document.write( "8.5x-7y =$20,000.00--------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -8.5 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-8.5x-8.5y=-85000.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "x-15.5y =-$65,000.00 \n" ); document.write( " \n" ); document.write( "divide by -15.5 \n" ); document.write( " \n" ); document.write( "y=$4,193.55 investment at7.00% \n" ); document.write( "Balance $5,806.45 investment at 8.50% \n" ); document.write( " \n" ); document.write( " |