document.write( "Question 1026532: I need help with this problem, during the past year, ms.nguyen invested $9,000. Some of her money was invested in certificates of deposits paying 4% annually and the rest was invested in stocks paying 7.5% annually. She received a total of $500 from these investments for the year. How much did she invest in the certificates of deposit paying 4%? \n" ); document.write( "
Algebra.Com's Answer #641746 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 7.50% per annum ------------ Amount invested = y = \n" ); document.write( " 9000 \n" ); document.write( "Interest----- 500 \n" ); document.write( " \n" ); document.write( "Part I 4.00% per annum ---x \n" ); document.write( "Part II 7.50% 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 + 7.50% y= 500 \n" ); document.write( "Multiply by 100 \n" ); document.write( "4 x + 7.5 y= 50000.00 --------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 3.5 y= 14000 \n" ); document.write( "divide by 3.5 \n" ); document.write( " y = 4000 \n" ); document.write( "Part I 4.00% $ 5000 \n" ); document.write( "Part II 7.50% $ 4000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "5000 --------- 4.00% ------- 200.00 \n" ); document.write( "4000 ------------- 7.50% ------- 300.00 \n" ); document.write( "Total -------------------- 500.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |