document.write( "Question 1159899: ralph Chase plans to sell a piece of property for $135000. He wants the money to be paid off in two way - short-term note at 11% interest and a long-term note at 8% interest. Find the amount of each note if the total annual interest paid is $12900. \n" ); document.write( "
Algebra.Com's Answer #782997 by mananth(16946)![]() ![]() You can put this solution on YOUR website! ralph Chase plans to sell a piece of property for $135000.\r \n" ); document.write( "\n" ); document.write( " short-term note at 11% interest. Let the amount be x \n" ); document.write( " and a long-term note at 8% interest, and this amount be y \n" ); document.write( "x+y =135000--------------(1)\r \n" ); document.write( "\n" ); document.write( " total annual interest paid is $12900. \n" ); document.write( "11%x + 8%y = 12900 \n" ); document.write( "multiply by 100 \n" ); document.write( "11x+8y = 1290000--------------(2) \n" ); document.write( " x Amount @11% 0.11 \n" ); document.write( " y Amount @ 8% 0.08 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x + y = 135000.00 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "11.00 x + 8.00 y = 1290000.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -8.00 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-8.00 x -8.00 y = -1080000.00 \n" ); document.write( "11.00 x 8.00 y = 1290000.00 \n" ); document.write( "Add the two equations \n" ); document.write( "3.00 x = 210000.00 \n" ); document.write( "/ 3.00 \n" ); document.write( "x = 70000.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 135000.00 \n" ); document.write( "70000.00 + 1.00 y = 135000.00 \n" ); document.write( " 1.00 y = 65000.00 \n" ); document.write( " y = 65000.00 \n" ); document.write( "Ans x = 70000.00 \n" ); document.write( " y = 65000.00 \n" ); document.write( " 70000.00 Amount @11% \n" ); document.write( " 65000.00 Amount @ 8% \n" ); document.write( " \n" ); document.write( " |