document.write( "Question 206325: A mother wants to invest $12,000 for her sons future education. She invests a portion of the money into a bank CD which 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $720.00 how much was invested into the CD?? \n" ); document.write( "
Algebra.Com's Answer #155897 by mickclns(59)![]() ![]() ![]() You can put this solution on YOUR website! Let c be the amount invested in the CD. The amount invested in a bond is $12,000 - c \n" ); document.write( "The interest earned on the CD is .04c. The interest earned on the bond is .07(12000 - c). \n" ); document.write( "The equation, then, for the total interest earned is: \n" ); document.write( " .04c + .07(12000 - c) = 720 \n" ); document.write( ".04c + 840 - .07c = 720 Combining the terms with c in them and subtracting 840 from both sides: \n" ); document.write( "-.03c = -120 Dividing both sides by -3, we have \n" ); document.write( ".01c = 40 Multiplying both sides by 100 (same as dividing by .01 = 1/100), we have \n" ); document.write( "c = 4000 which is the answer desired. \n" ); document.write( " |