document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166848>Question 166848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kate invested $9,000 one year ago. part of the money was invested at 6% and the rest at 10%. if the total interest earned in one year was $625.80, find 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 #122918 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Principal times (% of Interest)=interest earned\r<BR>\n" );
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document.write( "we have to break the left hand side of this equation into two parts, one at 6% and one at 10%. We know the Total principal is  $9000 and we know the interest earned what we dont know is  how much of the 9000 was invested at each rate\r<BR>\n" );
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document.write( "so lets call the principal invested at 6%=x therefore the principal invested at\r<BR>\n" );
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document.write( "10% is 9000-x. Now we can write a formula with one unknown remembering that   6% is .06 in decimal form and  10% is .10 in decimal form.\r<BR>\n" );
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document.write( "6%(x)+10%(9000-x)=625.8---->.06x+.1(9000-x)=625.8--->.06x+900-.10x=625.8\r<BR>\n" );
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document.write( "900-625.8=.10x-.06x--->.04x=274.2  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6855 ALIGN=MIDDLE  ALT=\"x=6855\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%246855%29 ALIGN=MIDDLE  ALT=\"highlight%28%246855%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > was invested at 6%<BR>\n" );
document.write( "and amount invested at 10%=9000-6855=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282145%29 ALIGN=MIDDLE  ALT=\"highlight%282145%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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