document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198532>Question 1198532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.\r<BR>\n" );
document.write( "\n" );
document.write( "- Give an exponential equation to represent the percentage of the original gallium-67 after<BR>\n" );
document.write( "t days.\r<BR>\n" );
document.write( "\n" );
document.write( "Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.\r<BR>\n" );
document.write( "\n" );
document.write( "- After 4 days, how much percentage is remaining?\r<BR>\n" );
document.write( "\n" );
document.write( "- After how many days, is 1% of the original Gallium-67 will remain?  Round your answer to 2 decimal places </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832227 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=832227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections.<BR>\n" );
document.write( " The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection.<BR>\n" );
document.write( " The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.<BR>\n" );
document.write( "- Give an exponential equation to represent the percentage of the original gallium-67 after t days.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+Ao%2A2%5E%28-t%2F3.26%29 ALIGN=MIDDLE  ALT=\"A+=+Ao%2A2%5E%28-t%2F3.26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where<BR>\n" );
document.write( "A = resulting amt after t time<BR>\n" );
document.write( "Ao = initial amt<BR>\n" );
document.write( "t = time of decay<BR>\n" );
document.write( "3.26 = half life of the substance\r<BR>\n" );
document.write( "\n" );
document.write( "To find the percentage, use 1 as the initial amt multiply the resulting decimal by 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections.<BR>\n" );
document.write( " The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection.<BR>\n" );
document.write( " The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.<BR>\n" );
document.write( "- After 4 days, how much percentage is remaining?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%25+=+Ao%2A2%5E%28-4%2F3.26%29 ALIGN=MIDDLE  ALT=\"A%25+=+Ao%2A2%5E%28-4%2F3.26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 100<BR>\n" );
document.write( "A% = 42.72% remains after 4 days<BR>\n" );
document.write( ": <BR>\n" );
document.write( "- After how many days, is 1% of the original Gallium-67 will remain? Round your answer to 2 decimal places <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2A2%5E%28-t%2F3.26%29 ALIGN=MIDDLE  ALT=\"+1%2A2%5E%28-t%2F3.26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .01<BR>\n" );
document.write( "using nat logs <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-t%2F3.26%29%2Aln%282%29+=+Ln%28.01%29 ALIGN=MIDDLE  ALT=\"%28-t%2F3.26%29%2Aln%282%29+=+Ln%28.01%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28.01%29%2Fln%282%29 ALIGN=MIDDLE  ALT=\"ln%28.01%29%2Fln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * -3.26<BR>\n" );
document.write( "t = 21.66 days </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );