document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800321>Question 800321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of an island increases by 10% each year. After how many years will the original population be doubled? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483039 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the starting population<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+ ALIGN=MIDDLE  ALT=\"+p+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the population for the current year<BR>\n" );
document.write( "Start of 1st year:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+P+ ALIGN=MIDDLE  ALT=\"+p+=+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Start of 2nd year:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+P+%2B+.1P+ ALIGN=MIDDLE  ALT=\"+p+=+P+%2B+.1P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Start of 2nd year:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+P+%2B+.1P+%2B+.1%2A%28+P+%2B+.1P+%29+ ALIGN=MIDDLE  ALT=\"+p+=+P+%2B+.1P+%2B+.1%2A%28+P+%2B+.1P+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+%28+P+%2B+.1P+%29%2A%28+1+%2B+.1+%29+ ALIGN=MIDDLE  ALT=\"+p+=+%28+P+%2B+.1P+%29%2A%28+1+%2B+.1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+P%2A%28+1+%2B+.1+%29%5E2+ ALIGN=MIDDLE  ALT=\"+p+=+P%2A%28+1+%2B+.1+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Start of 3rd year:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+P%2A%28+1+%2B+.1+%29%5E3+ ALIGN=MIDDLE  ALT=\"+p+=+P%2A%28+1+%2B+.1+%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "In what year <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+2P+ ALIGN=MIDDLE  ALT=\"+p+=+2P+\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2P+=+P%2A1.1%5En+ ALIGN=MIDDLE  ALT=\"+2P+=+P%2A1.1%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+1.1%5En+ ALIGN=MIDDLE  ALT=\"+2+=+1.1%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Alog%281.1%29+=+log%282%29+ ALIGN=MIDDLE  ALT=\"+n%2Alog%281.1%29+=+log%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+log%282%29+%2F+log%281.1%29+ ALIGN=MIDDLE  ALT=\"+n+=+log%282%29+%2F+log%281.1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+.301+%2F+.0414+ ALIGN=MIDDLE  ALT=\"+n+=+.301+%2F+.0414+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+7.271+ ALIGN=MIDDLE  ALT=\"+n+=+7.271+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 7 years the population is doubled<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+1.1%5En+ ALIGN=MIDDLE  ALT=\"+2+=+1.1%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+1.1%5E7.271+ ALIGN=MIDDLE  ALT=\"+2+=+1.1%5E7.271+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+1.9997+ ALIGN=MIDDLE  ALT=\"+2+=+1.9997+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );