document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138200>Question 138200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> using matrix calculations the question is as follows<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 $3700.00. Twice as much moneyu is invested at 6% as invesated at 10%. How much is invested in each of the funds.\r<BR>\n" );
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document.write( "My professor wants us to accomplish the following items.\r<BR>\n" );
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document.write( "a. set up the 3 linear equations in 3 variables<BR>\n" );
document.write( "b. put the coeficients into a matrix<BR>\n" );
document.write( "c. solve the matrix any method you like<BR>\n" );
document.write( "d. provide the solution for x,y, and z. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101317 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=101317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using matrix calculations the question is as follows<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 $3700.00. Twice as much money is invested at 6% as invested at 10%. How much is invested in each of the funds. <BR>\n" );
document.write( "My professor wants us to accomplish the following items. <BR>\n" );
document.write( "a. set up the 3 linear equations in 3 variables<BR>\n" );
document.write( "Quantity Eq.: <BR>\n" );
document.write( "x   +  y  +  z    = 50,000<BR>\n" );
document.write( "Interest equation:<BR>\n" );
document.write( "0.06x + 0.08y  0.10z = 3700<BR>\n" );
document.write( "Relation equation:<BR>\n" );
document.write( "x = 2z<BR>\n" );
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document.write( "Rearrange equations:<BR>\n" );
document.write( "x     +  y   +  z    = 50,000<BR>\n" );
document.write( "0.06x + 0.08y  0.10z = 3700<BR>\n" );
document.write( "x     +  0     -2z   = 0<BR>\n" );
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document.write( "Solution got by using Matrix function on TI calculator:<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.\r<BR>\n" );
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document.write( "b. put the coeficients into a matrix<BR>\n" );
document.write( "c. solve the matrix any method you like<BR>\n" );
document.write( "d. provide the solution for x,y, and z.<BR>\n" );
document.write( " </SPAN>\n" );
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