document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472433>Question 472433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The initial population of a town is 127,866 and it grows with a doubling time of 12 years. What will the population be in 33 years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323915 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=323915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The initial population of a town is 127,866 and it grows with a doubling time of 12 years. What will the population be in 33 years?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "assuming exponential growth:<BR>\n" );
document.write( "a = pe^(rt)<BR>\n" );
document.write( "first, we need to find r (rate of growth)<BR>\n" );
document.write( "2(127866) = 127866e^(r*12)<BR>\n" );
document.write( "2 = e^(r*12)<BR>\n" );
document.write( "ln(2) = 12r<BR>\n" );
document.write( "ln(2)/12 = r<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our general formula:<BR>\n" );
document.write( "a = 127866e^(ln(2)/12 * t)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "subsitute 33 for t:<BR>\n" );
document.write( "a = 127866e^(ln(2)/12 * 33)<BR>\n" );
document.write( "a = 127866e^(1.9062)<BR>\n" );
document.write( "a = 127866(6.7272)<BR>\n" );
document.write( "a = 860176\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );