document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934732>Question 934732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of a city was 161 thousand in 1992. The exponential growth rate was 1.4% per year. <BR>\n" );
document.write( "A)Find the exponential growth function in terms of t, where t is the number of years since 1992<BR>\n" );
document.write( "P(t)=<BR>\n" );
document.write( "B) Predict the population in 2009<BR>\n" );
document.write( "C) In what year will the population be 174 thousand? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567774 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=567774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population of a city was 161 thousand in 1992. <BR>\n" );
document.write( "The exponential growth rate was 1.4% per year. <BR>\n" );
document.write( "A)Find the exponential growth function in terms of t, where t is the number of years since 1992<BR>\n" );
document.write( " P(t)= 161000*(1.014)^t<BR>\n" );
document.write( "------<BR>\n" );
document.write( " B) Predict the population in 2009<BR>\n" );
document.write( "t = 0 in 1992<BR>\n" );
document.write( "t = 7 in 2009:: P(7) = 161000*(1.014)^7 = 1774567 when rounded up<BR>\n" );
document.write( "----------------------- <BR>\n" );
document.write( " C) In what year will the population be 174 thousand?<BR>\n" );
document.write( "Solve::<BR>\n" );
document.write( "174000 = 161000*1.014^t<BR>\n" );
document.write( "1.014^t = 1.08075<BR>\n" );
document.write( "t = log(1.08075)/log(1.014) = 5.59 years after 1992<BR>\n" );
document.write( "Ans: 1998<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );