document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888215>Question 888215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the half life of a compound that decays at the formula y=ae^-0.0736t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537191 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=537191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plug in y = a/2 and solve for t\r<BR>\n" );
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document.write( "y = a*e^(-0.0736t)\r<BR>\n" );
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document.write( "a/2 = a*e^(-0.0736t)\r<BR>\n" );
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document.write( "1/2 = e^(-0.0736t)\r<BR>\n" );
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document.write( "ln(1/2) = ln(e^(-0.0736t))\r<BR>\n" );
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document.write( "ln(1/2) = -0.0736t*ln(e)\r<BR>\n" );
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document.write( "ln(1/2) = -0.0736t*1\r<BR>\n" );
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document.write( "ln(1/2) = -0.0736t\r<BR>\n" );
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document.write( "ln(1/2)/(-0.0736) = t\r<BR>\n" );
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document.write( "9.41776060543403 = t\r<BR>\n" );
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document.write( "t = 9.41776060543403\r<BR>\n" );
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document.write( "The halflife is approximately 9.41776060543403 (use whatever units are part of the problem) </SPAN>\n" );
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