document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048723>Question 1048723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the half-life of a certain radioactive substance is 8 hours. there are 5 grams present initially. which of the following gives best approximation when there will be 1 gram remaining. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664333 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=664333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=p%2Ae%5E%28-kt%29 ALIGN=MIDDLE  ALT=\"y=p%2Ae%5E%28-kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------exponential decay model\r<BR>\n" );
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document.write( "Need find k.  The variable to find, AFTER k is found, will be t.\r<BR>\n" );
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document.write( "HALF LIFE<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F2=p%2Ae%5E%28-k%2A8%29 ALIGN=MIDDLE  ALT=\"p%2F2=p%2Ae%5E%28-k%2A8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29=e%5E%28-8k%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29=e%5E%28-8k%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%281%2F2%29=ln%28e%5E%28-8k%29%29 ALIGN=MIDDLE  ALT=\"ln%281%2F2%29=ln%28e%5E%28-8k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8k%2Aln%28e%29=ln%281%2F2%29 ALIGN=MIDDLE  ALT=\"-8k%2Aln%28e%29=ln%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8k=-ln%282%29 ALIGN=MIDDLE  ALT=\"-8k=-ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28k=ln%282%29%2F8%29 ALIGN=MIDDLE  ALT=\"highlight_green%28k=ln%282%29%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You would like to put a decimal number to that.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.08664 ALIGN=MIDDLE  ALT=\"k=0.08664\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but remember to include the negative sign in the model!!\r<BR>\n" );
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document.write( "WHEN THE 5 GRAMS BECOME 1 GRAM?  FIND t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28p%2Ae%5E%28-kt%29%29 ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28p%2Ae%5E%28-kt%29%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%28p%29-kt=ln%28y%29 ALIGN=MIDDLE  ALT=\"ln%28p%29-kt=ln%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-kt=ln%28y%29-ln%28p%29 ALIGN=MIDDLE  ALT=\"-kt=ln%28y%29-ln%28p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-kt=ln%28y%2Fp%29 ALIGN=MIDDLE  ALT=\"-kt=ln%28y%2Fp%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28-1%2Fk%29ln%28y%2Fp%29 ALIGN=MIDDLE  ALT=\"t=%28-1%2Fk%29ln%28y%2Fp%29\"   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=%281%2Fk%29ln%28p%2Fy%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t=%281%2Fk%29ln%28p%2Fy%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if you want to keep the positive value of k found earlier.\r<BR>\n" );
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document.write( "YOU FINISH IT.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28p=5%2Cy=1%2Ck=0.08664%2Ct=YouNeedToEvaluateHours%29 ALIGN=MIDDLE  ALT=\"system%28p=5%2Cy=1%2Ck=0.08664%2Ct=YouNeedToEvaluateHours%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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