document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602229>Question 602229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population P of a certain city t years from now is given by<BR>\n" );
document.write( "P=20,000e^0.05t<BR>\n" );
document.write( "How many years from now will the population be 50,000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380167 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population P of a certain city t years from now is given by<BR>\n" );
document.write( "P=20,000e^0.05t<BR>\n" );
document.write( "How many years from now will the population be 50,000?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "simply substitute 50000 for p and solve for t:<BR>\n" );
document.write( "P=20,000e^0.05t<BR>\n" );
document.write( "50000=20000e^0.05t<BR>\n" );
document.write( "50000/20000=e^0.05t<BR>\n" );
document.write( "5/2=e^0.05t<BR>\n" );
document.write( "2.5=e^0.05t<BR>\n" );
document.write( "ln(2.5)=0.05t<BR>\n" );
document.write( "ln(2.5)/0.05=t<BR>\n" );
document.write( "18.33 years = t </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );