document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045551>Question 1045551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8203;Betsy, a recent&#8203; retiree, requires &#8203;$6,000 per year in extra income.  She has &#8203;$50,000 to invest and can invest in&#8203; B-rated bonds paying 13&#8203;% per year or in a certificate of deposit&#8203; (CD) paying 3&#8203;% per year.  How much money should be invested in each to realize exactly &#8203;$6,000 in interest per&#8203; year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661122 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=661122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the amount invested in b rated bonds.<BR>\n" );
document.write( "let y = the amount invested in certificates of deposit.\r<BR>\n" );
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document.write( "x + y = 50000\r<BR>\n" );
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document.write( "this means that the total investment must be equal to 50,000 dollars.\r<BR>\n" );
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document.write( ".13x + .03y = 6000\r<BR>\n" );
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document.write( "this means that the total interest must be equal to 6,000 dollars.\r<BR>\n" );
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document.write( "these are 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "i will solve by elimination.\r<BR>\n" );
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document.write( "start with:\r<BR>\n" );
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document.write( "x + y = 50000 (first equation)<BR>\n" );
document.write( ".13x + .03y = 6000 (second eauation)\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 13 and multiply both sides of the second equation by 100 to get:\r<BR>\n" );
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document.write( "13x + 13y = 650000<BR>\n" );
document.write( "13x + 3y = 600000\r<BR>\n" );
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document.write( "subtract the second equation from the first to get 10y = 50000.\r<BR>\n" );
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document.write( "divide both sides of that equation by 10 to get y = 5000\r<BR>\n" );
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document.write( "since x + y = 50000, then x must be equal to 45000.\r<BR>\n" );
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document.write( "your solution should be that 45000 must be invested at 13% and 5000 must be invested at 3%.\r<BR>\n" );
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document.write( ".13 * 45000 + .03 * 5000 = 6000.\r<BR>\n" );
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document.write( "the solution looks good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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