document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166329>Question 1166329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Edmonds Community College's (EDCC) scholarship fund received a gift of $ 110,000.<BR>\n" );
document.write( "The money is invested in stocks, bonds, and CDs.<BR>\n" );
document.write( "CDs pay 5.25% interest, bonds pay 5% interest, and stocks pay 10.8% simple interest.<BR>\n" );
document.write( "EDCC invests $ 10,000 more in bonds than in CDs.\r<BR>\n" );
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document.write( "If the annual income from the investments is $7,328 , how much was invested in each vehicle?<BR>\n" );
document.write( "solve by the method of your choice either using reduced row echelon form or the matrix equation<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 #852769 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53427)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Edmonds Community College's (EDCC) scholarship fund received a gift of $ 110,000.<BR>\n" );
document.write( "The money is invested in stocks, bonds, and CDs.<BR>\n" );
document.write( "CDs pay 5.25% interest, bonds pay 5% interest, and stocks pay 10.8% simple interest.<BR>\n" );
document.write( "EDCC invests $ 10,000 more in bonds than in CDs.<BR>\n" );
document.write( "If the annual income from the investments is $7,328 , how much was invested in each vehicle?<BR>\n" );
document.write( "solve by the method of your choice either using reduced row echelon form or the matrix equation<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This problem can be solved by much more intelligent way by reducing it to a single \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;equation for only one unknown, as I will show below in my post.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let x be the amount invested in CDs, in dollars.\r\n" );
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document.write( "Then the amount invested in bonds is (x+10000) dollars,\r\n" );
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document.write( "and the amount invested in stocks is the rest  (110000 - x - (x+10000)) = (100000-2x)  dollars.\r\n" );
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document.write( "Now write an equation for the total interest from three investments\r\n" );
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document.write( "    0.0525x + 0.05*(x+10000) + 0.108*(100000-2x) = 7328  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.0525x + 0.05x + 500 + 10800 - 0.216x = 7328\r\n" );
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document.write( "    (0.0525 + 0.05 - 0.216)x = 7328 - 500 - 10800\r\n" );
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document.write( "            -0.1135x         =      -3972\r\n" );
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document.write( "                   x         =       3972/0.1135 = 34995.60\r\n" );
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document.write( "Thus, $34995.60                       invested in CDs,  \r\n" );
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document.write( "      $34995.60 + $10000 = $44995.60 invested in bonds,\r\n" );
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document.write( "      and the rest,  (110000 - 34995.60 - 44995.60) = 30008.80 dollars invested in stocks.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Compare this simple treatment with megaton calculations in the other post.\r<BR>\n" );
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document.write( "Simply and elegantly - - - as it should be in true Math.\r<BR>\n" );
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document.write( "If you never saw this approach before, it is a good time for you  <BR>\n" );
document.write( "to learn it now and to take it into service.\r<BR>\n" );
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