document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099762>Question 1099762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr Tui inherits a sum of $10,000 in Australia. He wants to invest this sum into three investments: Cooperate Bills, Cooperate Bonds and Treasury Bonds, with annual rates of 12%, 8% and 4% respectively. He wants his investment in Cooperate Bonds to be $500 more than the investment in Treasury Bonds. Use the Gauss Jordon Elimination method to find how much Mr Tui should allocate to each of his investments, in order to get an annual income of exactly $1,000. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714266 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> original 3*4 matrix<BR>\n" );
document.write( "0.12,0.08,0.04,1000<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "1,1,1,10000\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 0.12<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "1,1,1,10000\r<BR>\n" );
document.write( "\n" );
document.write( "add  0*row 1 to row 2<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "1,1,1,10000\r<BR>\n" );
document.write( "\n" );
document.write( "add  -1*row 1 to row 3<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "0,0.33333333,0.66666667,1666.66667\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by 1<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "0,0.33333333,0.66666667,1666.66667\r<BR>\n" );
document.write( "\n" );
document.write( "add  -0.33333333*row 2 to row 3<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "0,0,1.0,1500.0\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by 1.0<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,-1,500<BR>\n" );
document.write( "0,0,1,1500.0\r<BR>\n" );
document.write( "\n" );
document.write( "add  1*row 3 to row 2<BR>\n" );
document.write( "1,0.66666667,0.33333333,8333.33333<BR>\n" );
document.write( "0,1,0,2000.0<BR>\n" );
document.write( "0,0,1,1500.0\r<BR>\n" );
document.write( "\n" );
document.write( "add  -0.33333333*row 3 to row 1<BR>\n" );
document.write( "1,0.66666667,0,7833.33333<BR>\n" );
document.write( "0,1,0,2000.0<BR>\n" );
document.write( "0,0,1,1500.0\r<BR>\n" );
document.write( "\n" );
document.write( "add  -0.66666667*row 2 to row 1<BR>\n" );
document.write( "1,0,0,6500.0<BR>\n" );
document.write( "0,1,0,2000.0<BR>\n" );
document.write( "0,0,1,1500.0\r<BR>\n" );
document.write( "\n" );
document.write( "1 6500.0<BR>\n" );
document.write( "2 2000.0<BR>\n" );
document.write( "3 1500.0<BR>\n" );
document.write( "4 0<BR>\n" );
document.write( "done\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );