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You have already invested $500 in a stock with an annual return of 11%. How much of an additional $1,600 should be invested at 12% and how much at 6% so that the total return on the entire $2,100 is 9%?\r
\n" ); document.write( "\n" ); document.write( "total return 2100 @9%= $189 \r
\n" ); document.write( "\n" ); document.write( "500 @11% = $55 \r
\n" ); document.write( "\n" ); document.write( "Difference = 189-55= 135\r
\n" ); document.write( "\n" ); document.write( "Invest $ x at 12%
\n" ); document.write( "and 1600-x @ 6 %\r
\n" ); document.write( "\n" ); document.write( "Total return = $ 135\r
\n" ); document.write( "\n" ); document.write( "Part I 12.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 6.00% per annum ------------ Amount invested = y
\n" ); document.write( " 1600
\n" ); document.write( "Interest----- 135.00
\n" ); document.write( "
\n" ); document.write( "Part I 12.00% per annum ---x
\n" ); document.write( "Part II 6.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 1600 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "12.00% x + 6.00% y= 135
\n" ); document.write( "Multiply by 100
\n" ); document.write( "12 x + 6 y= 13500.00 --------2
\n" ); document.write( "Multiply (1) by -12
\n" ); document.write( "we get
\n" ); document.write( "-12 x -12 y= -19200.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -6 y= -5700
\n" ); document.write( "divide by -6
\n" ); document.write( " y = 950 - x)
\n" ); document.write( "Part I 12.00% $ 650
\n" ); document.write( "Part II 6.00% $ 950 \r
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