document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007706>Question 1007706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular antibiotic is eliminated from the blood at a rate of 15% per hour what is the half life of the drug? How many hours does it take for a 100milligram dose to decrease to 1milligram in the blood? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623562 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=623562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p, starting quantity<BR>\n" );
document.write( "y, resulting quantity after some time t<BR>\n" );
document.write( "t, some time passage<BR>\n" );
document.write( "k, rate constant<BR>\n" );
document.write( "MODEL in general:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=pe%5E%28-kt%29 ALIGN=MIDDLE  ALT=\"y=pe%5E%28-kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Loss of 15% in one hour means<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.85=1%2Ae%5E%28-k%2A1%29 ALIGN=MIDDLE  ALT=\"0.85=1%2Ae%5E%28-k%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take log of each side and solve for.....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28k=-ln%280.85%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28k=-ln%280.85%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "More specific model is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=pe%5E%28-0.1625t%29 ALIGN=MIDDLE  ALT=\"y=pe%5E%28-0.1625t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "To answer the question, let p=100,y=1,solve for t.\r<BR>\n" );
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document.write( "Also, half-life was asked.  You can use the specific model to find this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=pe%5E%28-0.1625t%29 ALIGN=MIDDLE  ALT=\"y=pe%5E%28-0.1625t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28p%29-0.1625t ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28p%29-0.1625t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%2Fp%29=-0.1625t ALIGN=MIDDLE  ALT=\"ln%28y%2Fp%29=-0.1625t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28p%2Fy%29=0.1625t ALIGN=MIDDLE  ALT=\"ln%28p%2Fy%29=0.1625t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=0.1625t ALIGN=MIDDLE  ALT=\"ln%282%29=0.1625t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=ln%282%29%2F0.1625%29 ALIGN=MIDDLE  ALT=\"highlight%28t=ln%282%29%2F0.1625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );