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)\"\" \"About 
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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
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