document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236329>Question 236329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose that 18,000 is invested in two types of bonds for one year. Part of the money is invested in a high-risk, high growth fund that earned 24% annual interest. The rest is invested in a safe fund that earned 5% annual interest. If $2320 in interest is earned, how much was invested at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173981 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=173981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 18000 was invested.<BR>\n" );
document.write( "interest earned was 2320\r<BR>\n" );
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document.write( "x = amount invested at 24%<BR>\n" );
document.write( "y = amount invested at 5%\r<BR>\n" );
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document.write( "two equations you have to work with are:\r<BR>\n" );
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document.write( "x+y = 18000<BR>\n" );
document.write( ".24x + .05y = 2320\r<BR>\n" );
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document.write( "solve for y in the first equation to get:\r<BR>\n" );
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document.write( "y = 18000 - x\r<BR>\n" );
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document.write( "replace y with 18000 - x in the second equation to get:\r<BR>\n" );
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document.write( ".24*x + .05*(18000-x) = 2320\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( ".24*x + .05*18000 - .05*x = 2320\r<BR>\n" );
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document.write( "simplify and combine like terms to get\r<BR>\n" );
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document.write( ".19*x + 900 = 2320\r<BR>\n" );
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document.write( "subtract 900 from both sides to get:\r<BR>\n" );
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document.write( ".19*x = 2320 - 900 = 1420\r<BR>\n" );
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document.write( "divide both sides by .19 to get:\r<BR>\n" );
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document.write( "x = 7473.684211\r<BR>\n" );
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document.write( "replace x with 7473.684211 in x + y = 18000 to get:\r<BR>\n" );
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document.write( "7473.684211 + y = 18000\r<BR>\n" );
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document.write( "subtract 7473.684211 from both sides to get:\r<BR>\n" );
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document.write( "y = 18000 - 7473.684211 = 10526.31579\r<BR>\n" );
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document.write( "you have\r<BR>\n" );
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document.write( "x = 7473.684211<BR>\n" );
document.write( "y = 10526.31579\r<BR>\n" );
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document.write( "x + y = 7473.684211 + 10526.31579 = 18000\r<BR>\n" );
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document.write( ".24x + .05y = .24*7473.684211 + .05*10526.31579 = 2320\r<BR>\n" );
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document.write( "Answer is confirmed.\r<BR>\n" );
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document.write( "Answer is:\r<BR>\n" );
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document.write( "You invest $7473.68 at 24% interest and you invest $10526.32 at 5% interest for one year to get $2320 interest by the end of the year.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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