document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183394>Question 1183394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An artifact was discovered by an archeologist, who initially estimated it to be about 2500 years old. Then, after carbon-14 analysis was completed, it was determined that the carbon-14 contained in the artifact decreased from 20 grams originally to 12 grams now, so that 60% of its original amount of carbon-14 remains. After the mathematical investigation was completed, this model was created: P(t) = 20e-0.00012t, where P(t) is the amount of carbon-14 remaining after 't' years. What conclusion should be made about the age of the artifact?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813677 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12=20e^(-0.00012*t)<BR>\n" );
document.write( "0.6=e^(-0.00012t)<BR>\n" );
document.write( "ln both sides<BR>\n" );
document.write( "-0.51083=-0.00012t<BR>\n" );
document.write( "t=4257 years (round at end)\r<BR>\n" );
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