document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299884>Question 299884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.<BR>\n" );
document.write( "How long will it take for the population of a certain country to double if its annual growth rate is 1.5%? Round to the nearest year. Use the exponential growth model P(t) = P0ekt. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215313 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How long will it take for the population of a certain country to double if its annual growth rate is 1.5%? Round to the nearest year. Use the exponential growth model P(t) = P0ekt.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plug in the data provided by the problem into the given equation and solve for t:<BR>\n" );
document.write( "Let x = initial population<BR>\n" );
document.write( "the<BR>\n" );
document.write( "2x = double initial population<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2x = xe^(.015t)<BR>\n" );
document.write( "Dividing both sides by x:<BR>\n" );
document.write( "2 = e^(.015t)<BR>\n" );
document.write( "ln(2) = .015t<BR>\n" );
document.write( "ln(2)/.015 = t<BR>\n" );
document.write( "46 years = t<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );