document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248628>Question 248628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help really stumped! Approximately one-third of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function<BR>\n" );
document.write( "N(t)=310,000(1/2)^t<BR>\n" );
document.write( "After how many years will 60,000 bottles still be in use?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181174 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 310,000(1/2)^t = 60000<BR>\n" );
document.write( "Divide both sides by 310000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5Et ALIGN=MIDDLE  ALT=\"%281%2F2%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60000%2F310000 ALIGN=MIDDLE  ALT=\"60000%2F310000\"   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=%281%2F2%29%5Et ALIGN=MIDDLE  ALT=\"%281%2F2%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F31 ALIGN=MIDDLE  ALT=\"6%2F31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281%2F2%29%5Et%29+=+log%286%2F31%29 ALIGN=MIDDLE  ALT=\"log%28%281%2F2%29%5Et%29+=+log%286%2F31%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%2Alog%281%2F2%29+=+log%286%2F31%29 ALIGN=MIDDLE  ALT=\"t%2Alog%281%2F2%29+=+log%286%2F31%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-.301t = -.713<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-.713%29%2F%28-.301%29 ALIGN=MIDDLE  ALT=\"%28-.713%29%2F%28-.301%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = +2.37 yrs<BR>\n" );
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document.write( "Check on a calc: enter: 31000 * .5^2.37 = 59968 ~ 60000<BR>\n" );
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document.write( "jos is right, when you get this contradiction resolved, you can use this method<BR>\n" );
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