document.write( "Question 665477: Susan invested part of her $23,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall profit was $1930.00 \n" ); document.write( "

Algebra.Com's Answer #413875 by mananth(16946) $\"\"$ $\"About$

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Fund 11.00% per annum ------------- Amount invested =x
\n" ); document.write( "Stock -4.00% per annum ------------ Amount invested = y
\n" ); document.write( " 23000
\n" ); document.write( "Interest----- 1930
\n" ); document.write( "
\n" ); document.write( "Fund 11.00% per annum ---x
\n" ); document.write( "Stock -4.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + y= 23000 -------------1
\n" ); document.write( "Profit on both investments
\n" ); document.write( "11.00% x -4.00% y= 1930
\n" ); document.write( "Multiply by 2
\n" ); document.write( "11 x -4 y= 193000.00 --------2
\n" ); document.write( "Multiply (1) by -11
\n" ); document.write( "we get
\n" ); document.write( "-11 x -11 y= -253000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -15 y= -60000
\n" ); document.write( "divide by -15
\n" ); document.write( " y = 4000
\n" ); document.write( "Fund 11.00% $ 19000
\n" ); document.write( "Stock -4.00% $ 4000
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "19000 --------- 11.00% ------- 2090.00
\n" ); document.write( "4000 ------------- -4.00% ------- -160.00
\n" ); document.write( "Total -------------------- 1930.00
\n" ); document.write( "
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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