document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55020>Question 55020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2004 the population of the US was 294.4 million. If the population grows at a rate of 1.05% <BR>\n" );
document.write( "then the population in the year 2015 will be 294.4million(1.0105) to the 11th power.\r<BR>\n" );
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document.write( "A) Evaluate the expression to find the predictrd population in 2015 to the nearest tenth of a million people.\r<BR>\n" );
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document.write( "B) Which year will the population will reach 350 million people. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37240 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=37240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can generalise the population growth formula to predict the population n years after 2004 by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+294.4X10%5E6%281.0105%29%5En ALIGN=MIDDLE  ALT=\"P+=+294.4X10%5E6%281.0105%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A) The predicted population in 2015 (11 years after 2004) is: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+294.4X10%5E6%281.0105%29%5E11 ALIGN=MIDDLE  ALT=\"P+=+294.4X10%5E6%281.0105%29%5E11\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+330.246X10%5E6 ALIGN=MIDDLE  ALT=\"P+=+330.246X10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Round to the nearest tenth of a million.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+330.2 ALIGN=MIDDLE  ALT=\"P+=+330.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Million.\r<BR>\n" );
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document.write( "B) The year in which the predicted population will be 350 million can be found by using the formula derived above and solving for n.  Remember that n is the number of years after 2004.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+294.4X10%5E6%281.0105%29%5En ALIGN=MIDDLE  ALT=\"P+=+294.4X10%5E6%281.0105%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+350X10%5E6 ALIGN=MIDDLE  ALT=\"P+=+350X10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350X10%5E6+=+294.4X10%5E6%281.0105%29%5En ALIGN=MIDDLE  ALT=\"350X10%5E6+=+294.4X10%5E6%281.0105%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=294.4X10%5E6 ALIGN=MIDDLE  ALT=\"294.4X10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28350X10%5E6%29%2F%28294.4X10%5E6%29+=+%281.0105%29%5En ALIGN=MIDDLE  ALT=\"%28350X10%5E6%29%2F%28294.4X10%5E6%29+=+%281.0105%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.18886+=+%281.0105%29%5En ALIGN=MIDDLE  ALT=\"1.18886+=+%281.0105%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the logarithm of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281.18886%29%29+=+nlog%281.0105%29 ALIGN=MIDDLE  ALT=\"log%28%281.18886%29%29+=+nlog%281.0105%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281.0105%29%29 ALIGN=MIDDLE  ALT=\"log%28%281.0105%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28log%28%281.18886%29%29%29%2F%28log%28%281.0105%29%29%29 ALIGN=MIDDLE  ALT=\"n+=+%28log%28%281.18886%29%29%29%2F%28log%28%281.0105%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use your calculator to evaluate this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+16.54 ALIGN=MIDDLE  ALT=\"n+=+16.54\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Round to 17 and add to 2004<BR>\n" );
document.write( "2004 + 17 = 20021\r<BR>\n" );
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document.write( "The population should reach 350 million in the year 2021 </SPAN>\n" );
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