document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129339>Question 129339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using matrix calculations, solve the following problem. Show Your Work.  \r<BR>\n" );
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document.write( "A total of $50,000 is invested in three funds paying 6%, 8%, and 10% simple interest. The yearly interest is $3,700. Twice as much money is invested at 6% as invested at 10%. How much is invested in each of the funds.\r<BR>\n" );
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document.write( "set up the 3 linear equations in 3 variables <BR>\n" );
document.write( "put the coefficients into a matrix <BR>\n" );
document.write( "solve the matrix using any method you like <BR>\n" );
document.write( "provide the solutions for x, y, and z.  \r<BR>\n" );
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document.write( "I have two equations already which are:<BR>\n" );
document.write( ".06x+.08y+.10z=3,700<BR>\n" );
document.write( "x+y+z=50,000<BR>\n" );
document.write( "How and where do I get the last equation? I am not really sure what to do with this problem from here. Can someone please help me. I have been at this all day. Thank you <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94483 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=94483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using matrix calculations, solve the following problem. Show Your Work. <BR>\n" );
document.write( "A total of $50,000 is invested in three funds paying 6%, 8%, and 10% simple interest. The yearly interest is $3,700. Twice as much money is invested at 6% as invested at 10%. How much is invested in each of the funds. \r<BR>\n" );
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document.write( "set up the 3 linear equations in 3 variables <BR>\n" );
document.write( "put the coefficients into a matrix <BR>\n" );
document.write( "solve the matrix using any method you like <BR>\n" );
document.write( "provide the solutions for x, y, and z<BR>\n" );
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document.write( "Quantity Equation:    x   +   y   +  z  = 50,000<BR>\n" );
document.write( "Interest EQUATION:0.06x  + 0.08y  + 0.10z = 3700<BR>\n" );
document.write( "Relation Equation:    x  +   0    - 2z     = 0<BR>\n" );
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document.write( "Using the Matrix function of a TI calculator I got:<BR>\n" );
document.write( "x = 30000<BR>\n" );
document.write( "y = 5000<BR>\n" );
document.write( "z = 15000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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