document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096926>Question 1096926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of adamsville grew from 6K to 11K in 8 years. assuming uninhibited exponential growth, what is the expected population in an additional 5 years. Do not round until the final answer, then round to the nearest whole number.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711346 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population after t years can be expressed as<BR>\n" );
document.write( "P(t) = P0*exp(kt), where P0 is the initial population<BR>\n" );
document.write( "Given P(8) = 11000<BR>\n" );
document.write( "11000 = 6000*exp(k*8)<BR>\n" );
document.write( "k = (1/8)*ln(11/6)<BR>\n" );
document.write( "P(13) = 6000*exp(k*13) = 16066.4, or 16066 (rounded) </SPAN>\n" );
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