document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189528>Question 1189528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A retired woman has $80,000 to invest but needs to make $6,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.\r<BR>\n" );
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document.write( "Set up and solve the equation for how much the woman should invest in each option to sustain exactly a $6,000 annual return.\r<BR>\n" );
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document.write( "Bond = <BR>\n" );
document.write( "CD =  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820919 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 80,000<BR>\n" );
document.write( ".15 * x + .07 * y = 6000<BR>\n" );
document.write( "x is the amount invested at 15%.<BR>\n" );
document.write( "y is the amount invested at 7%.\r<BR>\n" );
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document.write( "these are to equations that need to be solved simultaneously.<BR>\n" );
document.write( "multiply both sides of the first equation by .15 and leave the second equation as is to get:<BR>\n" );
document.write( ".15x + .15y = 12000<BR>\n" );
document.write( ".15x + .07y = 6000\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:<BR>\n" );
document.write( ".08y = 6000<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 6000 / .08 = 75000.\r<BR>\n" );
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document.write( "this means x = 5000 because x + y = 80000<BR>\n" );
document.write( ".15x + .07y becomes .15 * 5000 .07 * 15000 = 6000.\r<BR>\n" );
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document.write( "she should invest 5000 in the 15% bond and 75000 in the 7% bond.<BR>\n" );
document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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