document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606667>Question 606667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population in Cleveland (in thousands) can be modeled by the equation\r<BR>\n" );
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document.write( "P(t)=22e^0.014(t)\r<BR>\n" );
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document.write( "What is the doubling time of Cleveland's population to the nearest month?\r<BR>\n" );
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document.write( "I understand how to do these when you have a population number, but this question doesn't. Help please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382254 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=382254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population in Cleveland (in thousands) can be modeled by the equation <BR>\n" );
document.write( "P(t)=22e^0.014(t) <BR>\n" );
document.write( "What is the doubling time of Cleveland's population to the nearest month?<BR>\n" );
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document.write( "The formula I think is: P=Poe^kt, Po=initial population, k=growth rate, P=population after t years<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "k=.014<BR>\n" );
document.write( "P/Po=2<BR>\n" );
document.write( "e^.014t=2<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( ".014t*lne=ln2<BR>\n" );
document.write( "t=ln2/.014&#8776;49.51 yrs<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "Doubling time of Cleveland's population:appproximately 594 months </SPAN>\n" );
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