document.write( "Question 916953: a man invested 100000. he put part 5% interest. on the other hand, he invested the remainder in bonds with 9% yearly return. How much did he put in the banks if his yearly income from the two investments was 7400? \n" ); document.write( "
Algebra.Com's Answer #556421 by mananth(16949) You can put this solution on YOUR website! Part I 5.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 9.00% per annum ------------ Amount invested = y \n" ); document.write( " 100000 \n" ); document.write( "Interest----- 7400.00 \n" ); document.write( " \n" ); document.write( "Part I 5.00% per annum ---x \n" ); document.write( "Part II 9.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 100000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "5.00% x + 9.00% y= 7400 \n" ); document.write( "Multiply by 100 \n" ); document.write( "5 x + 9 y= 740000.00 --------2 \n" ); document.write( "Multiply (1) by -5 \n" ); document.write( "we get \n" ); document.write( "-5 x -5 y= -500000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 4 y= 240000 \n" ); document.write( "divide by 4 \n" ); document.write( " y = 60000 \n" ); document.write( "Part I 5.00% $ 40000 \n" ); document.write( "Part II 9.00% $ 60000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "40000 --------- 5.00% ------- 2000.00 \n" ); document.write( "60000 ------------- 9.00% ------- 5400.00 \n" ); document.write( "Total -------------------- 7400.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |