document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163468>Question 163468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a population of initial size 100 grows at the rate of 8% per year forever. <BR>\n" );
document.write( "What is the size of the population at the end of year 1?<BR>\n" );
document.write( "What is the size of the population at the end of year 2?<BR>\n" );
document.write( "What is the size of the population at the end of year 3?<BR>\n" );
document.write( "What is the size of the population at the end of year n (for any integer n)?<BR>\n" );
document.write( "What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200? Use a calculator to solve to x.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120426 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After year 1, the population would be<BR>\n" );
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document.write( "Continuing all the way back to time t=0 years,<BR>\n" );
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document.write( "You can use a calculator to iterate for x.<BR>\n" );
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document.write( "Algebraically you can solve it using logarithm functions. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Nine years to double the population at 8% growth.  </SPAN>\n" );
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