document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194385>Question 194385</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132424355/algebrahomeworkh>mathematical analysis</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In one city, the population P grows at the rate of 2% per year. The equation P= 1,000,000 (1.02)^t gives the population t after 1998. Find the value of t for which the population is 1,500,000. Give the answer to the nearest tenth.<BR>\n" );
document.write( "Please with full details<BR>\n" );
document.write( "Thank you :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145865 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=145865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In one city, the population P grows at the rate of 2% per year. The equation P= 1,000,000 (1.02)^t gives the population t after 1998. Find the value of t for which the population is 1,500,000.<BR>\n" );
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document.write( "P(t) = 1,000,000(1.02)^t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1,000,000(1.02)^t = 1,500,000<BR>\n" );
document.write( "1.02^t = 1.5<BR>\n" );
document.write( "Take the log<BR>\n" );
document.write( "tlog1.02 = log1.5<BR>\n" );
document.write( "t = log1.5/log1.02<BR>\n" );
document.write( "t = 20.48 years.<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );