document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196226>Question 196226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the period of a year, an investor lost twice as much as he gained.  If he originally had $10,000 , and he now has 8,000, what amount did he gain and what amount did he lose.\r<BR>\n" );
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document.write( "My daughter and I have been working ont his but I am quite sure that we are not getting the right answer and we are totally stumped!<BR>\n" );
document.write( "I hope someone can help!!!!\r<BR>\n" );
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document.write( "She is thinking gain of 2000 and loss of 4000- that seems wrong but who knows...<BR>\n" );
document.write( "I think our minds are blown at this point<BR>\n" );
document.write( "Please Help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147085 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "She is exactly correct.  Here's why:\r<BR>\n" );
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document.write( "Let <b><i>x</i></b> represent the amount gained, then <b>2<i>x</i></b> is the amount lost.  So he started with 10K added <b><i>x</i></b> and then subtracted <b>2<i>x</i></b> leaving him with 8K, or:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 10000 + x - 2x = 8000\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 10000 - x = 8000\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x = 2000\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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