document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874204>Question 874204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A city has been declining in population for the last 50 years. In the year 2000, the population was 571 thousand, and was declining at a rate of 0.77% per year. If this trend continues:\r<BR>\n" );
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document.write( "(a) Give a formula for the population of this city, P, in thousands, as a function of t, the number of years since 2000.\r<BR>\n" );
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document.write( "P= \r<BR>\n" );
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document.write( "(b) What is the predicted population in 2010?\r<BR>\n" );
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document.write( "The predicted population is  thousand people.\r<BR>\n" );
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document.write( "(c) To two decimal places, estimate t when the population is 450 thousand people.\r<BR>\n" );
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document.write( "When there are 450 thousand people in this city, t&#8776;  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527424 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=527424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Description gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=571000e%5E%280.0077t%29 ALIGN=MIDDLE  ALT=\"P=571000e%5E%280.0077t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "For P=450000, what is t?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450=571e%5E%280.0077t%29 ALIGN=MIDDLE  ALT=\"450=571e%5E%280.0077t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450%2F571=e%5E%280.0077t%29 ALIGN=MIDDLE  ALT=\"450%2F571=e%5E%280.0077t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0077t=ln%28450%2F571%29 ALIGN=MIDDLE  ALT=\"0.0077t=ln%28450%2F571%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=ln%28450%2F571%29%2F0.0077%29 ALIGN=MIDDLE  ALT=\"highlight%28t=ln%28450%2F571%29%2F0.0077%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, years since 2000. </SPAN>\n" );
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