document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205515>Question 205515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2000, the population of Isreal was approximeatly 6.04 million and the population of the Palestinians in the West Bank, Gaza Atrip, and East Jerusalem was approximately 3.2 million in 2050 Israel is projected to grow to 10 million and the population of Palestinians to 12 million.\r<BR>\n" );
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document.write( "Use the exponential growth mdoel A=A(subscript, 0)e^kt, in which t is the number of years after 2000 to find an exponential growth function that models the data for the Israeilis and growth function that models the data for the Palestinians. n which year will each of the populations reach 9 million??\r<BR>\n" );
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document.write( "This is a long one...I know I am sapose to use the continuous growth model but I dont really know what numbers go in what spot to make an equation!..<BR>\n" );
document.write( "help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155135 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=155135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 2000, the population of Isreal was approximeatly 6.04 million and the population of the Palestinians in the West Bank, Gaza Strip, and East Jerusalem was approximately 3.2 million in 2050 Israel is projected to grow to 10 million and the population of Palestinians to 12 million. <BR>\n" );
document.write( "Use the exponential growth mdoel A=A(subscript, 0)e^kt, in which t is the number of years after 2000 to find an exponential growth function that models the data for the Israeilis and growth function that models the data for the Palestinians. n which year will each of the populations reach 9 million?? <BR>\n" );
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document.write( "A(t) = Ao*e^kt<BR>\n" );
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document.write( "You have two points for each of the peoples.<BR>\n" );
document.write( "Israelis: (0,6.04), (50,10)<BR>\n" );
document.write( "Determine Equation by finding \"k\":<BR>\n" );
document.write( "10 = 6.04e^10k<BR>\n" );
document.write( "e^(10k) = 1.6556...<BR>\n" );
document.write( "10k = ln(1.6556)<BR>\n" );
document.write( "k = 0.05416<BR>\n" );
document.write( "Equation is I(t) = 6.04e^(0.05416t)<BR>\n" );
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document.write( "When does I(t) = 9 million ?<BR>\n" );
document.write( "9 = 6.04e^(0.05416t)<BR>\n" );
document.write( "e^(0.05416t) = 1.49<BR>\n" );
document.write( "0.05416t = ln(1.49)<BR>\n" );
document.write( "t = 7.36 years after the year 2000<BR>\n" );
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document.write( "Palistinians: (0,3.2), (50,12)<BR>\n" );
document.write( "Determine Equation by finding \"k\":<BR>\n" );
document.write( "12 = 3.2*e^(10k)<BR>\n" );
document.write( "e^(10k) = 3.75<BR>\n" );
document.write( "10k = ln3.75<BR>\n" );
document.write( "k = 0.1322..<BR>\n" );
document.write( "Equation is P(t) = 3.2e^(0.1322t)<BR>\n" );
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document.write( "When does P(t) = 9 million?<BR>\n" );
document.write( "9 = 3.2e^(0.1322t)<BR>\n" );
document.write( "2.8125 = e^(0.1322t)<BR>\n" );
document.write( "0.1322t = ln(2.8125)<BR>\n" );
document.write( "t = 7.822<BR>\n" );
document.write( "P(t) will reach 9 million 7.822 years after the year 2000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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