document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439905>Question 439905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of a certain country grows exponentially so that its doubling time is 42 years. If the present population is 12.5 million, what will the population be in 126 years?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304006 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=304006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population of a certain country grows exponentially so that its doubling time is 42 years. If the present population is 12.5 million, what will the population be in 126 years? <BR>\n" );
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document.write( "A(t) = Ao*b^t<BR>\n" );
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document.write( "2Ao = Ao*b^42<BR>\n" );
document.write( "2 = b^42<BR>\n" );
document.write( "b = 2^(1/42)<BR>\n" );
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document.write( "A(0) = 12.5<BR>\n" );
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document.write( "A(126) = 12.5*2^(126/42)<BR>\n" );
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document.write( "A(126) = 12.5*2^3<BR>\n" );
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document.write( "A(126) = 12.5*8 = 100 million<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );