document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266545>Question 266545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain country's population P(t), in millions, t years after 1980 can be approximated by<BR>\n" );
document.write( "P(t) = 5.495(1.016)^t .<BR>\n" );
document.write( "In what year did the country's population reach 3 million? <BR>\n" );
document.write( "1947<BR>\n" );
document.write( "1932<BR>\n" );
document.write( "1942<BR>\n" );
document.write( "1952 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195843 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=195843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We start with the following:<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%29+=+5.495%281.016%29%5Et ALIGN=MIDDLE  ALT=\"P%28t%29+=+5.495%281.016%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we are given the population of 3 million. Since the population is in millions, we only use 3.<BR>\n" );
document.write( "From (i) we get<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+5.495%281.016%29%5Et ALIGN=MIDDLE  ALT=\"3+=+5.495%281.016%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 5.495 to get<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0.54595+=+1.016%5Et ALIGN=MIDDLE  ALT=\"+0.54595+=+1.016%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take a log of both sides to get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.26284644+=+t%2Alog%281.016%29 ALIGN=MIDDLE  ALT=\"-.26284644+=+t%2Alog%281.016%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by log(1.016) to get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-38.128+=+t ALIGN=MIDDLE  ALT=\"-38.128+=+t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so 1980 - 38 = 1942 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );