document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032910>Question 1032910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of a village can be modelled by the function P(x)= -22.5x^2+428x+1100, where x is the number of years since 1990. According to the model, when will the population be the highest?<BR>\n" );
document.write( "Thank you very much  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647533 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x-value for the vertex ( maximum in this case )<BR>\n" );
document.write( "is given by the formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the equation has the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+P%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-22.5+ ALIGN=MIDDLE  ALT=\"+a+=+-22.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+428+ ALIGN=MIDDLE  ALT=\"+b+=+428+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-428+%2F+%28+2%2A%28-22.5%29+%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-428+%2F+%28+2%2A%28-22.5%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=+x%5Bmax%5D+=+9.5111+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+9.5111+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The population is highest in June of 1999 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );