document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32884>Question 32884</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030660548/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If the population in India was estimated to be 574,220,000 in 1974 and 746,388,000 in 1984 t=0 in 1974 t=10 in 1984.<BR>\n" );
document.write( " the exponential growth function P(t)=P0e^kt, find the value of k. The write the function for the population as a function of time t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19309 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=19309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(10)= P(0)e^(10k)<BR>\n" );
document.write( "e^(10k)= P(10)/P(0)= 1.2998...<BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "10k = 0.2622...<BR>\n" );
document.write( "k=0.02622....<BR>\n" );
document.write( "P(t)=P(0)e^(0.026...t)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "       </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );