document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944492>Question 944492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mathematical model for world population growth over short periods of time is given by P = P(0)e^rt where P(0)= population at t=0, r = rate compounded continuously, t = time in years, and P = population at time t.\r<BR>\n" );
document.write( "\n" );
document.write( "How long will it take the earth's population to double if it continues to grow at its current rate of 2% per year(compounded continuously)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575931 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=575931\">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=P=P%5Bo%5De%5E%28rt%29 ALIGN=MIDDLE  ALT=\"P=P%5Bo%5De%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=1%2Ae%5E%28rt%29 ALIGN=MIDDLE  ALT=\"2=1%2Ae%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28rt%29=2 ALIGN=MIDDLE  ALT=\"e%5E%28rt%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28rt%29%29=ln%282%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28rt%29%29=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt%2A1=ln%282%29 ALIGN=MIDDLE  ALT=\"rt%2A1=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%281%2Fr%29%28ln%282%29%29 ALIGN=MIDDLE  ALT=\"t=%281%2Fr%29%28ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2% means 0.02.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%281%2F0.02%29ln%282%29 ALIGN=MIDDLE  ALT=\"t=%281%2F0.02%29ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=35%29 ALIGN=MIDDLE  ALT=\"highlight%28t=35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   years. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );