document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315097>Question 315097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2008,the world population was 6.7 billion and the exponential growth rate was 1.14% per year. <BR>\n" );
document.write( "A. Find the exponential growth function<BR>\n" );
document.write( "B. Predict the world population in 2014<BR>\n" );
document.write( "C. When will the world population be 8.0 billion? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225402 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=225402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 2008,the world population was 6.7 billion and the exponential growth rate was 1.14% per year. <BR>\n" );
document.write( "A. Find the exponential growth function<BR>\n" );
document.write( "A(t) = 6.7 bil (1.14)^t where t is the number of years after 2008.<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "B. Predict the world population in 2014<BR>\n" );
document.write( "A(6) = 6.7 bil (1.14)^6 = 6.7 bil (2.1950) = 14.71 billion<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "C. When will the world population be 8.0 billion<BR>\n" );
document.write( "8 bil = 6.7 bil (1.14)^t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1.194 = 1.14^t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Take the log:<BR>\n" );
document.write( "t*log(1.14) = log(1.194)<BR>\n" );
document.write( "t = 1.35 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );