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 #813691 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52777)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "An artifact was discovered by an archeologist, who initially estimated it to be about 2500 years old. <BR>\n" );
document.write( "Then, after carbon-14 analysis was completed, it was determined that the carbon-14 contained in the artifact <BR>\n" );
document.write( "decreased from 20 grams originally to 12 grams now, so that 60% of its original amount of carbon-14 remains. <BR>\n" );
document.write( "After the mathematical investigation was completed, this model was created: P(t) = 20e-0.00012t, <BR>\n" );
document.write( "where P(t) is the amount of carbon-14 remaining after 't' years. <BR>\n" );
document.write( "What conclusion should be made about the age of the artifact?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Actually, &nbsp;<U>NOTHING &nbsp;IS &nbsp;farther from the truth than what is written in this post</U>, &nbsp;\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and I will explain you &nbsp;WHY - - - right now.\r<BR>\n" );
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document.write( "The content of Carbon-14, C14, in the atmosphere is about of 1 - 1.5 atoms per &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E12 ALIGN=MIDDLE  ALT=\"10%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;&nbsp;atoms of <BR>\n" );
document.write( "stable &nbsp;Carbon C-12.  &nbsp;See this &nbsp;Wikipedia article\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;https://en.wikipedia.org/wiki/Carbon-14\r<BR>\n" );
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document.write( "So, &nbsp;actually, &nbsp;the content of &nbsp;Carbon-14 &nbsp;is tiny percent of &nbsp;Carbon-12, &nbsp;and the content <BR>\n" );
document.write( "of these components in any organic on the &nbsp;Earth is in the same proportion.\r<BR>\n" );
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document.write( "Therefore, &nbsp;in order for an artifact would contain &nbsp;20 &nbsp;grams of &nbsp;Carbon-14, &nbsp;its mass <BR>\n" );
document.write( "should be many megatons\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A10%5E12 ALIGN=MIDDLE  ALT=\"20%2A10%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > grams = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A10%5E9 ALIGN=MIDDLE  ALT=\"20%2A10%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > kilograms = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A10%5E6 ALIGN=MIDDLE  ALT=\"20%2A10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > metric tons = 20 megatons.\r<BR>\n" );
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document.write( "These numbers shows that the person who created this &nbsp;\"problem\", &nbsp;is absolutely unfamiliar with the subject.\r<BR>\n" );
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document.write( "Yes, &nbsp;the content of &nbsp;Carbon-14 &nbsp;in any artifact is a tiny mass, &nbsp;but it is just &nbsp;ENOUGH &nbsp;for researchers, \r<BR>\n" );
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document.write( "armed with relevant modern measurement tools and knowledge to detect it and to make an appropriate analysis.\r<BR>\n" );
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document.write( "In our days, &nbsp;hundreds people, &nbsp;hardly familiar with different subjects, position themselves in the Internet\r<BR>\n" );
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document.write( "as the &nbsp;\"professors\", &nbsp;\"teachers\" &nbsp;or  &nbsp;\"tutors\" &nbsp;without having adequate knowledge.\r<BR>\n" );
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document.write( "Learn the subject from good sources, &nbsp;ONLY &nbsp;(&nbsp;!&nbsp;)\r<BR>\n" );
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