document.write( "Question 771602: $9000 is invested in two accounts. Account A pays 4% annual interest and account B pay 6% annual interest. In one year a total of $383 is earned in interest. How much was invested in each account. \n" ); document.write( "
Algebra.Com's Answer #470337 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 4.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 6.00% per annum ------------ Amount invested = y = \n" ); document.write( " 9000 \n" ); document.write( "Interest----- 383 \n" ); document.write( " \n" ); document.write( "Part I 4.00% per annum ---x \n" ); document.write( "Part II 6.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 9000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "4.00% x + 6.00% y= 383 \n" ); document.write( "Multiply by 100 \n" ); document.write( "4 x + 6 y= 38300.00 --------2 \n" ); document.write( "Multiply (1) by -4 \n" ); document.write( "we get \n" ); document.write( "-4 x -4 y= -36000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 2 y= 2300 \n" ); document.write( "divide by 2 \n" ); document.write( " y = 1150 \n" ); document.write( "Part I 4.00% $ 7850 \n" ); document.write( "Part II 6.00% $ 1150 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "7850 --------- 4.00% ------- 314.00 \n" ); document.write( "1150 ------------- 6.00% ------- 69.00 \n" ); document.write( "Total -------------------- 383.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |