document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130984>Question 1130984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population P of a city grows exponentially according to the function<BR>\n" );
document.write( "P(t) = 5500(1.1)^t,    0 &#8804; t &#8804; 8<BR>\n" );
document.write( "where t is measured in years. <BR>\n" );
document.write( "(a) Find the population at time <BR>\n" );
document.write( "t = 0<BR>\n" );
document.write( " and at time <BR>\n" );
document.write( "t = 4.<BR>\n" );
document.write( "P(0)	 = 	 <BR>\n" );
document.write( "P(4)	 =<BR>\n" );
document.write( "(b) When, to the nearest year, will the population reach 11,000? ________yr </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747599 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=747599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%29+=+5500%281.1%29%5Et ALIGN=MIDDLE  ALT=\"P%28t%29+=+5500%281.1%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C=+t+%3C=+8 ALIGN=MIDDLE  ALT=\"0+%3C=+t+%3C=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is measured in years. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a)  the population at time <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0 ALIGN=MIDDLE  ALT=\"t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29+=+5500%281.1%29%5E0 ALIGN=MIDDLE  ALT=\"P%280%29+=+5500%281.1%29%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29+=+5500%281%29 ALIGN=MIDDLE  ALT=\"P%280%29+=+5500%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29+=+5500 ALIGN=MIDDLE  ALT=\"P%280%29+=+5500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and at time \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4 ALIGN=MIDDLE  ALT=\"t+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29+=+5500%281.1%29%5E4 ALIGN=MIDDLE  ALT=\"P%284%29+=+5500%281.1%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29+=+5500%281.4641%29 ALIGN=MIDDLE  ALT=\"P%284%29+=+5500%281.4641%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29+=+8052.55 ALIGN=MIDDLE  ALT=\"P%284%29+=+8052.55\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29+=+5500 ALIGN=MIDDLE  ALT=\"P%280%29+=+5500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29+=+8052.55 ALIGN=MIDDLE  ALT=\"P%284%29+=+8052.55\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) When, to the nearest year, will the population reach <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000 ALIGN=MIDDLE  ALT=\"11000\"   DISABLED_style= \"max-width:90%; height:auto;\" >? ________yr\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000=+5500%281.1%29%5Et ALIGN=MIDDLE  ALT=\"11000=+5500%281.1%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000%2F5500=%281.1%29%5Et ALIGN=MIDDLE  ALT=\"11000%2F5500=%281.1%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110%2F55=%281.1%29%5Et ALIGN=MIDDLE  ALT=\"110%2F55=%281.1%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.1%29%5Et=2 ALIGN=MIDDLE  ALT=\"%281.1%29%5Et=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............take log of both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281.1%29%5Et%29=log%282%29 ALIGN=MIDDLE  ALT=\"log%28%281.1%29%5Et%29=log%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Alog%28%281.1%29%29=log%282%29 ALIGN=MIDDLE  ALT=\"t%2Alog%28%281.1%29%29=log%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=log%282%29%2Flog%28%281.1%29%29 ALIGN=MIDDLE  ALT=\"t=log%282%29%2Flog%28%281.1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=7.27254 ALIGN=MIDDLE  ALT=\"t=7.27254\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....round to the nearest whole number\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=7 ALIGN=MIDDLE  ALT=\"t=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "the population will reach <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000 ALIGN=MIDDLE  ALT=\"11000\"   DISABLED_style= \"max-width:90%; height:auto;\" > in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > yr\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );