document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161523>Question 1161523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An Egyptian mummy is discovered in which the amount of Carbon-14 present is only about twentynine fiftieths the amount found in living human beings. a. Using the half-life of Carbon-14, determine the decay constant for Carbon-14 (answer in decimal form and scientific notation, accurate to the tenth decimal place)? b. About how long ago did the Egyptian die? c. If this is a royal tomb, which Pharaoh is in the sarcophagus? Which dynasty and regnal years are recorded for this Pharaoh? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785105 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=785105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You could try a model like <BR>\n" );
document.write( "A, amount at time x<BR>\n" );
document.write( "p, initial amount if x is 0<BR>\n" );
document.write( "x, time passage in years<BR>\n" );
document.write( "5730, the half-life of Carbon-14, in years\r<BR>\n" );
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document.write( "Question part (a) for \"decay constant\",  more like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pe%5E%28-kx%29 ALIGN=MIDDLE  ALT=\"A=pe%5E%28-kx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2=e%5E%28-5730k%29 ALIGN=MIDDLE  ALT=\"1%2F2=e%5E%28-5730k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%2F2%29=-5730k ALIGN=MIDDLE  ALT=\"ln%281%2F2%29=-5730k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-ln%282%29=-5730k ALIGN=MIDDLE  ALT=\"-ln%282%29=-5730k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=ln%282%29%2F5730 ALIGN=MIDDLE  ALT=\"k=ln%282%29%2F5730\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28k=0.0001210%29 ALIGN=MIDDLE  ALT=\"highlight_green%28k=0.0001210%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(To the \"tenth\" decimal place makes no sense in the given example.)\r<BR>\n" );
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document.write( "Part (b):\r<BR>\n" );
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document.write( "Either model can be used.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28p=1%2CA=29%2F50%29 ALIGN=MIDDLE  ALT=\"system%28p=1%2CA=29%2F50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5E%28x%2F5730%29=29%2F50 ALIGN=MIDDLE  ALT=\"%281%2F2%29%5E%28x%2F5730%29=29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F5730%29%2Alog%28%281%2F2%29%29=log%28%2829%29%29-log%28%2850%29%29 ALIGN=MIDDLE  ALT=\"%28x%2F5730%29%2Alog%28%281%2F2%29%29=log%28%2829%29%29-log%28%2850%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285730%2Flog%28%281%2F2%29%29%29%28log%28%2829%29%29-log%28%2850%29%29%29 ALIGN=MIDDLE  ALT=\"x=%285730%2Flog%28%281%2F2%29%29%29%28log%28%2829%29%29-log%28%2850%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------evaluate this.\r<BR>\n" );
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document.write( "( 4500 years ago) </SPAN>\n" );
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