document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155383>Question 155383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	A cell divides into two identical copies every 4 minutes.  How many cells will exist after 3 hours?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114420 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=114420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=A%5B0%5De%5E%28kt%29 ALIGN=MIDDLE  ALT=\"A=A%5B0%5De%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the general exponential function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%5B0%5D=A%5B0%5De%5E%28k4%29 ALIGN=MIDDLE  ALT=\"2A%5B0%5D=A%5B0%5De%5E%28k4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4 ALIGN=MIDDLE  ALT=\"t=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2A%5B0%5D ALIGN=MIDDLE  ALT=\"A=2A%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since the number of cells double every 4 minutes)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=e%5E%284k%29 ALIGN=MIDDLE  ALT=\"2=e%5E%284k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D ALIGN=MIDDLE  ALT=\"A%5B0%5D\"   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=4k ALIGN=MIDDLE  ALT=\"ln%282%29=4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.69315=4k ALIGN=MIDDLE  ALT=\"0.69315=4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of 2 to get 0.69315.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.17329=k ALIGN=MIDDLE  ALT=\"0.17329=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4\r<BR>\n" );
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document.write( "So the growth/decay constant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.17329 ALIGN=MIDDLE  ALT=\"k=0.17329\"   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=A=A%5B0%5De%5E%28kt%29 ALIGN=MIDDLE  ALT=\"A=A%5B0%5De%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the general exponential function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%29e%5E%280.17329%2A180%29 ALIGN=MIDDLE  ALT=\"A=%281%29e%5E%280.17329%2A180%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D=1 ALIGN=MIDDLE  ALT=\"A%5B0%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since we start from one cell), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.173 ALIGN=MIDDLE  ALT=\"k=0.173\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=180 ALIGN=MIDDLE  ALT=\"t=180\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note 180 minutes = 3 hours)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%29e%5E%2831.1922%29 ALIGN=MIDDLE  ALT=\"A=%281%29e%5E%2831.1922%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 0.17329 and 180 to get 31.1922\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%29%283.52%2A10%5E%2813%29%29 ALIGN=MIDDLE  ALT=\"A=%281%29%283.52%2A10%5E%2813%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise \"e\" to the 31.1922 power to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.52%2A10%5E%2813%29 ALIGN=MIDDLE  ALT=\"3.52%2A10%5E%2813%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=A=3.52%2A10%5E%2813%29 ALIGN=MIDDLE  ALT=\"A=3.52%2A10%5E%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So after 3 hours, there are approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.52%2A10%5E%2813%29 ALIGN=MIDDLE  ALT=\"3.52%2A10%5E%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cells which is about 35.2 trillion cells </SPAN>\n" );
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