document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597184>Question 597184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A radioactive substance is known to decay according to the continuous expo-nential model Q(t) = Q0e^rt. The rate of change, , for the particular substance is -0.128, when<BR>\n" );
document.write( "t is measured in years. What percentage (to the nearest :01%) of the original amount of the<BR>\n" );
document.write( "substance is left after 5 years?\r<BR>\n" );
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document.write( "NOTE: Q(t) = Q0e^rt Q0 ITS Q AND THE ZERO IS IN THE BOTTOM LIKE IN LOG FORM  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378050 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=378050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ Q(t)\ =\ Q_0e^{rt}\">\r<BR>\n" );
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document.write( "The proportion left after <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\"> years at a given decay rate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{Q(t)}{Q_0}\ =\ e^{rt}\">\r<BR>\n" );
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document.write( "So the percentage would be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 100\,\cdot\,\frac{Q(t)}{Q_0}\ =\ 100\,\cdot\,e^{rt}\">\r<BR>\n" );
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document.write( "Just plug in the numbers for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE r\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\"> then do the arithmetic.  Round appropriately at the end of your calculations.\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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