document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906496>Question 906496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investor has $50,000 to invest in three types of bonds: short-term, intermediate-term, and long-term. How much should she invest in each type to satisfy the given conditions? \r<BR>\n" );
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document.write( "Short-term bonds pay 4% annually, intermediate-term bonds pay 5%, and long-term bonds pay 6%. The investor wishes to realize a total annual income of 4.92%, with equal amounts invested in short- and intermediate-term bonds. \r<BR>\n" );
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document.write( "short-term bonds    	$  <BR>\n" );
document.write( "intermediate-term bonds    	$  <BR>\n" );
document.write( "long-term bonds    	$  <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 #549886 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=549886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y+z=50000<BR>\n" );
document.write( "0.04*x+0.05*y+0.06*z=2460<BR>\n" );
document.write( "we have two equations in three unknown we need one more equation.<BR>\n" );
document.write( "x=y<BR>\n" );
document.write( "since x=y<BR>\n" );
document.write( "2x+z=50000<BR>\n" );
document.write( "0.04*x+0.05*x+0.06*z=2460\r<BR>\n" );
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document.write( "0.09*x+0.06*z=2460<BR>\n" );
document.write( "2x+z=50000<BR>\n" );
document.write( "z=50000-2x<BR>\n" );
document.write( "This won't be pretty but it can be solved.<BR>\n" );
document.write( "0.09*x+0.06*(50000-2x) =2460<BR>\n" );
document.write( "0.09*x+0.06*(50000-2x) =2460<BR>\n" );
document.write( "0.09*x+0.06*50000-.06*2x =2460<BR>\n" );
document.write( "0.09*x+3000-.12x =2460<BR>\n" );
document.write( "-.03x=-540<BR>\n" );
document.write( "multiply by -100<BR>\n" );
document.write( "3x=54000<BR>\n" );
document.write( "x=18000<BR>\n" );
document.write( "y=18000<BR>\n" );
document.write( "z=14000 </SPAN>\n" );
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