document.write( "Question 670470: Your grandmother needs your help. She has $50,000 to invest. Part of this money is to be invested in noninsured bonds paying 15% annual interest. The rest of this money is to be invested in a government-insured certificate of deposit paying 7% annual interest. She told you that she requires a total $6000 per year in extra income from these investments. How much money should be placed in each investment \n" ); document.write( "
Algebra.Com's Answer #416950 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 15.00% per annum ------------- Amount invested =x \n" ); document.write( "Certificates 7.00% per annum ------------ Amount invested = y \n" ); document.write( " 50000 \n" ); document.write( "Interest----- 6000 \n" ); document.write( " \n" ); document.write( "Part I 15.00% per annum ---x \n" ); document.write( "Certificates 7.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 50000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "15.00% x + 7.00% y= 6000 \n" ); document.write( "Multiply by 2 \n" ); document.write( "15 x + 7 y= 600000.00 \n" ); document.write( "Multiply (1) by -15 \n" ); document.write( "we get \n" ); document.write( "-15 x -15 y= -750000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x -8 y= -150000 \n" ); document.write( "divide by -8 \n" ); document.write( " y = 18750 \n" ); document.write( "Part I 15.00% $ 31250 \n" ); document.write( "Certificates 7.00% $ 18750 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "31250 --------- 15.00% ------- 4687.50 \n" ); document.write( "18750 ------------- 7.00% ------- 1312.50 \n" ); document.write( "Total -------------------- 6000.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |