document.write( "Question 806038: Ann has $7000.00 invested in two accounts, part at 7% simple interest and part at 5.25% simple interest for a period of 1 year. How much did she invest at each rate if each account earned the same interest? \n" ); document.write( "
Algebra.Com's Answer #485684 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I -----------x--------------7% \n" ); document.write( "Part II----------y---------------5.25%\r \n" ); document.write( "\n" ); document.write( "x+y=7000\r \n" ); document.write( "\n" ); document.write( "7%x=5.25%y \n" ); document.write( "7x=5.25y \n" ); document.write( "7x-5.25y=0\r \n" ); document.write( "\n" ); document.write( "1 x + 1 y = 7000 .............1 \n" ); document.write( "Total value \n" ); document.write( "7 x -5 1/4 y = 0 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 5 1/4 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "5 1/4 x 5 1/4 y = 36750 \n" ); document.write( "7 x -5 1/4 y = 0 \n" ); document.write( "Add the two equations \n" ); document.write( "12 1/4 x = 36750 \n" ); document.write( "/ 12 1/4 \n" ); document.write( "x = 3000 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 7000 \n" ); document.write( "3000 + y = 7000 \n" ); document.write( " y = 7000 -3000 \n" ); document.write( " y = 4000 \n" ); document.write( " y = 4000 \n" ); document.write( " \n" ); document.write( " |