document.write( "Question 594237: you have $10000.00 to invest. You invest part of it at 4% per year term deposit, and the rest of it at 5% per year on a bond market. At the end of the year you have earned $440.00. How much did you earn on each percentage. \n" ); document.write( "
Algebra.Com's Answer #376658 by mananth(16949) You can put this solution on YOUR website! Part I 4.00% per annum ------------- x \n" ); document.write( "Part II 5.00% per annum ------------ y \n" ); document.write( " 10000 \n" ); document.write( "Interest----- 440 \n" ); document.write( " \n" ); document.write( "Part I 4.00% per annum ---x \n" ); document.write( "Part II 5.00% per annum ---y \n" ); document.write( "Sum of investments \n" ); document.write( "x + 1 y= 10000 -------------1 \n" ); document.write( "Interest earned on both investments \n" ); document.write( "4.00% x + 5.00% y= 440 \n" ); document.write( "Multiply by 100 \n" ); document.write( "4 x + 5 y= 44000.00 --------2 \n" ); document.write( "Multiply (1) by -4 \n" ); document.write( "we get \n" ); document.write( "-0.2 x -4 y= -40000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 1 y= 4000 \n" ); document.write( "divide by 1 \n" ); document.write( " y = 4000 \n" ); document.write( "Part I 5.00% $ 4000 \n" ); document.write( "Part II 4.00% $ 6000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "4000 --------- 5.00% ------- 200.00 \n" ); document.write( "6000 -------------4.00% ------- 240.00 \n" ); document.write( "Total -------------------- 440.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |