document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448044>Question 448044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the population of a town increases every year by 2% of a total  population at the begining of that year, in how many year will the total increase of population be 40%?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308378 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=308378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the population of a town increases every year by 2% of a total population at the beginning of that year, In how many years will the total increase of population be 40%?<BR>\n" );
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document.write( "A(t) = Ao*(1.02)^t<BR>\n" );
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document.write( "1.4*Ao = Ao(1.02)^t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1.02^t = 1.4<BR>\n" );
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document.write( "Take the log of both sides:<BR>\n" );
document.write( "t*log(1.02) = log(1.4)<BR>\n" );
document.write( "t = 17 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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