document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55172>Question 55172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME WITH THIS PROBLEM:<BR>\n" );
document.write( "The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37440 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population P of a certain culture is expected to be given by a model <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28P=100e%5Ert%29 ALIGN=MIDDLE  ALT=\"highlight%28P=100e%5Ert%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days.<BR>\n" );
document.write( "P=200 and t=3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200=100e%5E%28r%2A3%29 ALIGN=MIDDLE  ALT=\"200=100e%5E%28r%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F100=100e%5E%283r%29%2F100 ALIGN=MIDDLE  ALT=\"200%2F100=100e%5E%283r%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=e%5E%283r%29 ALIGN=MIDDLE  ALT=\"2=e%5E%283r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Take the natural log of both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=ln%28e%5E%283r%29%29 ALIGN=MIDDLE  ALT=\"ln%282%29=ln%28e%5E%283r%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use this rule to rewrite the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28ln%28a%5Em%29=mln%28a%29%29 ALIGN=MIDDLE  ALT=\"highlight%28ln%28a%5Em%29=mln%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=3rln%28e%29 ALIGN=MIDDLE  ALT=\"ln%282%29=3rln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remember this rule <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28ln%28e%29=1%29 ALIGN=MIDDLE  ALT=\"highlight%28ln%28e%29=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=3r%281%29 ALIGN=MIDDLE  ALT=\"ln%282%29=3r%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=3r ALIGN=MIDDLE  ALT=\"ln%282%29=3r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln%282%29%29%2F3=3r%2F3 ALIGN=MIDDLE  ALT=\"%28ln%282%29%29%2F3=3r%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln%282%29%29%2F3=r ALIGN=MIDDLE  ALT=\"%28ln%282%29%29%2F3=r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.6931471806%2F3=r ALIGN=MIDDLE  ALT=\".6931471806%2F3=r\"   DISABLED_style= \"max-width:90%; height:auto;\" > You need a scientific calculator for that.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2310490602=r ALIGN=MIDDLE  ALT=\".2310490602=r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Round off to wherever your asked.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );