document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55170>Question 55170</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/053449451X/algebrahomeworkh>TRIGONOMETRY</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME WITH THIS PROBLEM I CANNOT FIGURE IT OUT IVE BEEN TRYING FOR DAYS:<BR>\n" );
document.write( "The amount of a radioactive tracer remaining after t days is given A=Ao e^-0.058t, where Ao is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37435 by </B><A HREF=/tutors/aboutme.mpl?userid=Hook><B>Hook(36)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Hook><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=37435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You've got the following formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=Ao+e%5E%28-0.058t%29 ALIGN=MIDDLE  ALT=\"A=Ao+e%5E%28-0.058t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you want to know when half of the crap decays. Ok...so what that says in math-speak is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+Ao%2F2 ALIGN=MIDDLE  ALT=\"A+=+Ao%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's plug that into the original equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ao%2F2=Ao+e%5E%28-0.058t%29 ALIGN=MIDDLE  ALT=\"Ao%2F2=Ao+e%5E%28-0.058t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The Ao terms cancel out of each side, leaving<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2+=+e%5E%28-0.058t%29 ALIGN=MIDDLE  ALT=\"1%2F2+=+e%5E%28-0.058t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You just have to solve for t. </SPAN>\n" );
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