document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442378>Question 442378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem?\r<BR>\n" );
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document.write( "The population P in 1993 for a state given along with r, its annual percentage rate of continuous growth<BR>\n" );
document.write( "P= 34 millions, r= 2.6%<BR>\n" );
document.write( "(a) Write the formula f(x) = P e^yx, where r is in the decimal notation, that models the population in millions x years after 1991.<BR>\n" );
document.write( "(b) Estimate the population in 2010<BR>\n" );
document.write( "F(x) = ?<BR>\n" );
document.write( "The population in 2015 will be approximately  how many million?<BR>\n" );
document.write( "(round to the nearest tenth as needed)\r<BR>\n" );
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document.write( "Thank you so much for your time. I appreciate it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305119 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population P in 1993 for a state given along with r, its annual percentage rate of continuous growth<BR>\n" );
document.write( "P= 34 millions, r= 2.6%<BR>\n" );
document.write( "(a) Write the formula f(x) = P e^yx, where r is in the decimal notation, that models the population in millions x years after 1991.<BR>\n" );
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document.write( "Don't know whether you meant 1993 or 1991 (I'll assume 1991)<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "f(x) = P e^(yx)<BR>\n" );
document.write( "where <BR>\n" );
document.write( "f(x) is popuplation x years after 1991<BR>\n" );
document.write( "y is .026<BR>\n" );
document.write( "P is 34 million<BR>\n" );
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document.write( "your equation is then:<BR>\n" );
document.write( "f(x) = 34e^(.026x)<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "(b) Estimate the population in 2010<BR>\n" );
document.write( "F(x) = ?<BR>\n" );
document.write( "x = 2010 - 1991<BR>\n" );
document.write( "x = 19<BR>\n" );
document.write( "f(19) = 34e^(.026*19)<BR>\n" );
document.write( "f(19) = 34*1.63886<BR>\n" );
document.write( "f(19) = 55.7 million<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The population in 2015 will be approximately how many million?<BR>\n" );
document.write( "(round to the nearest tenth as needed) <BR>\n" );
document.write( ".<BR>\n" );
document.write( "x = 2015 - 1991<BR>\n" );
document.write( "x = 24<BR>\n" );
document.write( "f(24) = 34e^(.026*24)<BR>\n" );
document.write( "f(24) = 34*1.86638<BR>\n" );
document.write( "f(24) = 63.5 million<BR>\n" );
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