document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256080>Question 256080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a doctor places an overweight man on a strict diet to reduce his weight from 200 kg to 80 kg . if he loses 3% of his weight every week how long will it take him to reach his target weight.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188260 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=188260\">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( "Well, that depends.  Do you mean that the patient is supposed to lose 3% of 200kg (i.e. 6kg) each week, or is he supposed to lose 3% of the current weight each week?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{200\ -\ 80}{6}\ =\ 20\"> weeks.\r<BR>\n" );
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document.write( "Or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 200\left(1.00\,-\,0.03\right)^w\ =\ 80\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ln\{200\left(1.00\,-\,0.03\right)^w\}\ =\ \ln(80)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ w\ = \frac{\ln\left(\frac{80}{200}\right)}{\ln(0.97)}\ \approx\ 30\"> weeks\r<BR>\n" );
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document.write( "Except that neither answer is correct in practical terms.  In order to lose 1kg per week, a person needs to have a caloric deficit of about 1100 calories PER DAY.  So 6 kg per week means a 6600 calorie PER DAY deficit, i.e. a combination of eating less and exercising more.  Even at 440 lbs, at a 6600 calorie per day deficit, the poor schmuck would probably die from malnourishment and dehydration within 2 or three weeks.  0.5% per week, at least at the outset, is more like what would be a safe rate of weight loss. \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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