document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000321>Question 1000321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company's profit can be modeled by p=t^2-2t+15, where p is the profit (in millions of dollars) for the year that is t years since 2010. Predict when the profit wasn't will be $78 million.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617865 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "I assume that you want to know when <BR>\n" );
document.write( "the profit will $78 million.<BR>\n" );
document.write( "P = t^2 - 2t + 15<BR>\n" );
document.write( "t^2 - 2t + 15 = 78<BR>\n" );
document.write( "t^2 - 2t - 63 = 0<BR>\n" );
document.write( "(t + 7)(t - 9) = 0<BR>\n" );
document.write( "t + 7 = 0<BR>\n" );
document.write( "t = -7 (No answer as negative)<BR>\n" );
document.write( "t - 9 = 0<BR>\n" );
document.write( "t = 9<BR>\n" );
document.write( "...............<BR>\n" );
document.write( "So in 9 years or 2019<BR>\n" );
document.write( "the profits will be $78 million<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "P(t) = t^2 - 2t + 15<BR>\n" );
document.write( "P(9) = 9^2 - 2(9) + 15<BR>\n" );
document.write( "P(9) = 81 - 18 + 15<BR>\n" );
document.write( "P(9) = 78.<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );