document.write( "Question 993962: To help pay for his child's college education, a father invests $10,000 in two separate investments: part in a certificate of deposit paying 8.5% annual interest, the rest in a mutual fund paying 7%. The annual income on the certificate of deposit is $200 more than the annual income on the mutual fund. How much is invested in the mutual fund? \n" ); document.write( "
Algebra.Com's Answer #613163 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! To help pay for his child's college education, a father invests $10,000 in two separate investments: part in a certificate of deposit paying 8.5% annual interest, the rest in a mutual fund paying 7%. The annual income on the certificate of deposit is $200 more than the annual income on the mutual fund. How much is invested in the mutual fund? \n" ); document.write( "---------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity:: c + f = 10000 \n" ); document.write( "interest:: 0.085c - 0.07f = 200 \n" ); document.write( "---- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "85c + 85f = 85*10000 \n" ); document.write( "85c + 70f = 200000 \n" ); document.write( "-------------------- \n" ); document.write( "Solve for \"f\" \n" ); document.write( "15f = 650000 \n" ); document.write( "f = $4333.33 (amt. invested in the mutual fund) \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( "-------- \n" ); document.write( " \n" ); document.write( " |