document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004659>Question 1004659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cup of coffee is heated to 180°F and placed in a room that maintains a temperature of 75°F. The temperature of the coffee after t minutes is given by <BR>\n" );
document.write( "T(t) = 75 + 115e^&#8722;0.042t.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) Find the temperature, to the nearest degree, of the coffee 30 minutes after it is placed in the room. <BR>\n" );
document.write( " =°F \r<BR>\n" );
document.write( "\n" );
document.write( "(b) Determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 130°F.<BR>\n" );
document.write( " =min </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621079 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=621079\">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=+T%28t%29+=+75+%2B+115%2Ae%5E%28-.042t%29+ ALIGN=MIDDLE  ALT=\"+T%28t%29+=+75+%2B+115%2Ae%5E%28-.042t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+30+ ALIGN=MIDDLE  ALT=\"+t+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%2830%29+=+75+%2B+115%2Ae%5E%28-.042%2A30%29+ ALIGN=MIDDLE  ALT=\"+T%2830%29+=+75+%2B+115%2Ae%5E%28-.042%2A30%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%2830%29+=+75+%2B+115%2Ae%5E%28-1.26%29+ ALIGN=MIDDLE  ALT=\"+T%2830%29+=+75+%2B+115%2Ae%5E%28-1.26%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%2830%29+=+75+%2B+115%2A.28365+ ALIGN=MIDDLE  ALT=\"+T%2830%29+=+75+%2B+115%2A.28365+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%2830%29+=+75+%2B+32.6202+ ALIGN=MIDDLE  ALT=\"+T%2830%29+=+75+%2B+32.6202+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%2830%29+=+107.6202+ ALIGN=MIDDLE  ALT=\"+T%2830%29+=+107.6202+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%2830%29+=+108+ ALIGN=MIDDLE  ALT=\"+T%2830%29+=+108+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees F<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%28t%29+=+75+%2B+115%2Ae%5E%28-.042t%29+ ALIGN=MIDDLE  ALT=\"+T%28t%29+=+75+%2B+115%2Ae%5E%28-.042t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+130+=+75+%2B+115%2Ae%5E%28-.042t%29+ ALIGN=MIDDLE  ALT=\"+130+=+75+%2B+115%2Ae%5E%28-.042t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+55+=+115%2Ae%5E%28-.042t%29+ ALIGN=MIDDLE  ALT=\"+55+=+115%2Ae%5E%28-.042t%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-.042t%29+=+.47826+ ALIGN=MIDDLE  ALT=\"+e%5E%28-.042t%29+=+.47826+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28+.47826+%29+=+-.042t+ ALIGN=MIDDLE  ALT=\"+ln%28+.47826+%29+=+-.042t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-.7376+=+-.042t+ ALIGN=MIDDLE  ALT=\"+-.7376+=+-.042t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+17.562+ ALIGN=MIDDLE  ALT=\"+t+=+17.562+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+17.6+ ALIGN=MIDDLE  ALT=\"+t+=+17.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "You can check answers by plugging<BR>\n" );
document.write( "results back into original equations </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );