document.write( "Question 867027: A total of $58,000 is invested in two municipal bonds that pay 4.25% and 7.25% simple interest. The investor wants an annual interest income of $3335 from the investments. What amount should be invested in the 4.25% bond? \n" ); document.write( "
Algebra.Com's Answer #522649 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 4.25% per annum ------------- Amount invested =x \n" ); document.write( "Part II 7.25% per annum ------------ Amount invested = y \n" ); document.write( " 58000 \n" ); document.write( "Interest----- 3335.00 \n" ); document.write( " \n" ); document.write( "Part I 4.25% per annum ---x \n" ); document.write( "Part II 7.25% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 58000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "4.25% x + 7.25% y= 3335 \n" ); document.write( "Multiply by 100 \n" ); document.write( "4.25 x + 7.25 y= 333500.00 --------2 \n" ); document.write( "Multiply (1) by -4.25 \n" ); document.write( "we get \n" ); document.write( "-4.25 x -4.25 y= -246500.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 3 y= 87000 \n" ); document.write( "divide by 3 \n" ); document.write( " y = 29000 \n" ); document.write( "Part I 4.25% $ 29000 \n" ); document.write( "Part II 7.25% $ 29000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "29000 --------- 4.25% ------- 1232.50 \n" ); document.write( "29000 ------------- 7.25% ------- 2102.50 \n" ); document.write( "Total -------------------- 3335.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |