document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438613>Question 438613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lawyer has determined that the number of people P(t) in a city of 1.4 million people who have been exposed to a news item after t days is given by the function<BR>\n" );
document.write( "P(t) = 1,400,000(1 &#8722; e&#8722;0.03t).\r<BR>\n" );
document.write( "\n" );
document.write( "How many days after a major crime has been reported has 35% of the population heard of the crime?\r<BR>\n" );
document.write( "\n" );
document.write( "I tried -0.03t=ln 35/1400000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303251 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=303251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28t%29+=+1400000%2A%281+-+e%5E%28-.03t%29%29+ ALIGN=MIDDLE  ALT=\"+P%28t%29+=+1400000%2A%281+-+e%5E%28-.03t%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28t%29+=+.35%2A1400000+ ALIGN=MIDDLE  ALT=\"+P%28t%29+=+.35%2A1400000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28t%29+=+490000+ ALIGN=MIDDLE  ALT=\"+P%28t%29+=+490000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490000+=+1400000%2A%281+-+e%5E%28-.03t%29%29+ ALIGN=MIDDLE  ALT=\"+490000+=+1400000%2A%281+-+e%5E%28-.03t%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=+7%2F20+=+1+-+e%5E%28-.03t%29+ ALIGN=MIDDLE  ALT=\"+7%2F20+=+1+-+e%5E%28-.03t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-20%2F20+%2B+7%2F20+=+-e%5E%28-.03t%29+ ALIGN=MIDDLE  ALT=\"+-20%2F20+%2B+7%2F20+=+-e%5E%28-.03t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5E%28-.03t%29+=+65%2F100+ ALIGN=MIDDLE  ALT=\"+e%5E%28-.03t%29+=+65%2F100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28e%5E%28-.03t%29%29+=+ln%28.65%29+ ALIGN=MIDDLE  ALT=\"+ln%28e%5E%28-.03t%29%29+=+ln%28.65%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-.03t+=+-.4308+ ALIGN=MIDDLE  ALT=\"+-.03t+=+-.4308+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+14.36+ ALIGN=MIDDLE  ALT=\"+t+=+14.36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "During the 15th day 35% have heard of the crime<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28t%29+=+1400000%2A%281+-+e%5E%28-.03t%29%29+ ALIGN=MIDDLE  ALT=\"+P%28t%29+=+1400000%2A%281+-+e%5E%28-.03t%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=+490000+=+1400000%2A%281+-+e%5E%28-.03%2A14.36%29%29+ ALIGN=MIDDLE  ALT=\"+490000+=+1400000%2A%281+-+e%5E%28-.03%2A14.36%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=+49%2F140+=+1+-+e%5E%28-.4308%29+ ALIGN=MIDDLE  ALT=\"+49%2F140+=+1+-+e%5E%28-.4308%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F20+=+1+-+.64999+ ALIGN=MIDDLE  ALT=\"+7%2F20+=+1+-+.64999+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.35+=+1+-+.65+ ALIGN=MIDDLE  ALT=\"+.35+=+1+-+.65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.35+=+.35+ ALIGN=MIDDLE  ALT=\"+.35+=+.35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );