document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175035>Question 1175035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A population grows according to an exponential growth model. The initial population is Po = 14, and the growth rate is r = 0.4.<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "P1=<BR>\n" );
document.write( "P2=\r<BR>\n" );
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document.write( "Find an explicit formula for Pn. The formula should involve n.<BR>\n" );
document.write( "Pn=2\r<BR>\n" );
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document.write( "Use the formula to find P11<BR>\n" );
document.write( "P11=\r<BR>\n" );
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document.write( "Accurate to at least 1 decimal point<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800673 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the growth rate is .4 per time period.<BR>\n" );
document.write( "the expnential growth model is f = p * (1 + .4) ^ n<BR>\n" );
document.write( "f is the future value.<BR>\n" );
document.write( "p is the present value.<BR>\n" );
document.write( "r is the growth rate per time period.<BR>\n" );
document.write( "n is the number of time periods.\r<BR>\n" );
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document.write( "in p0, n = 0<BR>\n" );
document.write( "in p1, n = 1<BR>\n" );
document.write( "in p2, n = 2<BR>\n" );
document.write( "in p11, n = 11\r<BR>\n" );
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document.write( "you are given that p0 = 14.\r<BR>\n" );
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document.write( "in the formula, that becomes f = 14 * (1 + .4) ^ 0 = 14 * 1.4 ^ 0 = 14.\r<BR>\n" );
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document.write( "the formula for p1 becomes f = 14 * (1 + .4) ^ 1 = 14 * 1.4 ^ 1 = 19.6.\r<BR>\n" );
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document.write( "the formula for p2 becomes f = 14 * (1 + .4) ^ 2 = 14 * 1.4 ^ 2 = 27.44.\r<BR>\n" );
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document.write( "the formula for p11 becomes f = 14 * (1 + .4) ^ 11 = 14 * 1.4 ^ 11 = 566.9391238.\r<BR>\n" );
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document.write( "the equation can be graphed as shown below.<BR>\n" );
document.write( "first graph is for n = 0, 2, 2 which covers p0, p1, p2.<BR>\n" );
document.write( "second graph is for n = 11 which covers p11.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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