document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201441>Question 1201441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population P of a certain is expected to be given by a model P= 100e^rt where r is 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 300 in 6 days </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835819 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=835819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---------<BR>\n" );
document.write( "population P of a certain is expected to be given by a model <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28P=100e%5Ert%29 ALIGN=MIDDLE  ALT=\"cross%28P=100e%5Ert%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=100e%5E%28rt%29 ALIGN=MIDDLE  ALT=\"P=100e%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where r is constant to be determined and t is a number of days since the original population of 100 was established. <BR>\n" );
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document.write( "Find the value of r if the population is expected to reach 300 in 6 days.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28P%29=ln%28100e%5E%28rt%29%29 ALIGN=MIDDLE  ALT=\"ln%28P%29=ln%28100e%5E%28rt%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=ln%28P%29=ln%28100%29%2Bln%28e%5E%28rt%29%29 ALIGN=MIDDLE  ALT=\"ln%28P%29=ln%28100%29%2Bln%28e%5E%28rt%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=ln%28P%29=ln%28100%29%2Brt%2A1 ALIGN=MIDDLE  ALT=\"ln%28P%29=ln%28100%29%2Brt%2A1\"   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=rt=ln%28P%29-ln%28100%29 ALIGN=MIDDLE  ALT=\"rt=ln%28P%29-ln%28100%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=highlight_green%28r=%28ln%28P%29-ln%28100%29%29%2Ft%29 ALIGN=MIDDLE  ALT=\"highlight_green%28r=%28ln%28P%29-ln%28100%29%29%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now just substitute the given values and evaluate r. </SPAN>\n" );
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