document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933042>Question 933042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help on my homework. Would you kindly please show me how to solve this problem. Thank you. \r<BR>\n" );
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document.write( "A radioactive element decays according to the function y=y0e^-0.0186T, where t is the time in years. If an initial sample contains y0=6 grams of the element, how many grams will be present after 50 years? What is the half-life of this element? \r<BR>\n" );
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document.write( "a.How many grams will be present after 50 years? \r<BR>\n" );
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document.write( "b.What is the half-life of this element?\r<BR>\n" );
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document.write( "My professor said that the answer in <BR>\n" );
document.write( "A is 2.37 grams<BR>\n" );
document.write( "B is 37.3 years\r<BR>\n" );
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document.write( "Would you please show me how to solve this problem. Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566565 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=566565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using all lower case, you mean, in pure text form, this:<BR>\n" );
document.write( "y=y[0]e^(-0.0186t)<BR>\n" );
document.write( "which becomes with the triple braces rendering tags,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=y%5B0%5De%5E%28-0.0186t%29 ALIGN=MIDDLE  ALT=\"y=y%5B0%5De%5E%28-0.0186t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The main two questions are to find y given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B0%5D=6 ALIGN=MIDDLE  ALT=\"y%5B0%5D=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=50 ALIGN=MIDDLE  ALT=\"t=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Just fill and compute.  The next part of the main question requires solving for t and then choosing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F2 ALIGN=MIDDLE  ALT=\"y=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B0%5D=1 ALIGN=MIDDLE  ALT=\"y%5B0%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You SHOULD be able to do this on your own.\r<BR>\n" );
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document.write( "You have reported the two expected final results, but can you take the process description I just gave and find those results yourself? </SPAN>\n" );
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