document.write( "Question 618298: A mother wants to invest $11,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $660.00. How much money was invested in the CD account \n" ); document.write( "
Algebra.Com's Answer #388829 by mananth(16946)![]() ![]() You can put this solution on YOUR website! CD 4.00% per annum ------------- Amount invested =x \n" ); document.write( "Savings bond 7.00% per annum ------------ Amount invested = y \n" ); document.write( " 11000 \n" ); document.write( "Interest----- 660 \n" ); document.write( " \n" ); document.write( "CD 4.00% per annum ---x \n" ); document.write( "Savings bond 7.00% per annum ---y \n" ); document.write( "Sum of investments \n" ); document.write( "x + y= 11000 -------------1 \n" ); document.write( "Interest earned on both investments \n" ); document.write( "4.00% x + 7.00% y= 660 \n" ); document.write( "Multiply by 100 \n" ); document.write( "4 x + 7 y= 66000.00 --------2 \n" ); document.write( "Multiply (1) by -4 \n" ); document.write( "we get \n" ); document.write( "-4 x -4 y= -44000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 3 y= 22000 \n" ); document.write( "divide by 3 \n" ); document.write( " y = 7333.33 \n" ); document.write( "CD 7.00% $ 7333.33 \n" ); document.write( "Savings bond 4.00% $ 3666.67 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "7333.33 --------- 7.00% ------- 513.33 \n" ); document.write( "3666.67 ------------- 4.00% ------- 146.67 \n" ); document.write( "Total -------------------- 660.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |