document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151516>Question 151516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!!<BR>\n" );
document.write( "The growth in the population of a certain rodent at a dump site fits the exponential function, A(t)=336e^(0.031t), where t is the number of years since 1963. Estimate the population in the year 2000. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111382 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=111382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, subtract 1963 from 2000 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000-1963=37 ALIGN=MIDDLE  ALT=\"2000-1963=37\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So in the year 2000,  37 years have elapsed since 1963. This means that in the year 2000, t=37.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28t%29=336e%5E%280.031t%29 ALIGN=MIDDLE  ALT=\"A%28t%29=336e%5E%280.031t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2837%29=336e%5E%280.031%2837%29%29 ALIGN=MIDDLE  ALT=\"A%2837%29=336e%5E%280.031%2837%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=37 ALIGN=MIDDLE  ALT=\"t=37\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2837%29=336e%5E%281.147%29 ALIGN=MIDDLE  ALT=\"A%2837%29=336e%5E%281.147%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 0.031 and 37 to get 1.147\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2837%29=336%283.14873%29 ALIGN=MIDDLE  ALT=\"A%2837%29=336%283.14873%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise \"e\" to the 1.147th power to get 3.14873\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2837%29=1057.97328 ALIGN=MIDDLE  ALT=\"A%2837%29=1057.97328\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply 336 and 3.14873 to get 1,057.97328\r<BR>\n" );
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document.write( "So in the year 2000, there will be approximately 1,058 rats. Note: I rounded to the nearest integer. </SPAN>\n" );
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