document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056046>Question 1056046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (3 pts) Suppose y, the number of cases of a disease, is reduced by 12% per year.<BR>\n" );
document.write( "(a) If there are initially 10,000 cases, express y as a function of t, the number of years elapsed. <BR>\n" );
document.write( "y =  (do not enter any commas in your formula)\r<BR>\n" );
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document.write( "(b) How many cases will there be 7 years from now? <BR>\n" );
document.write( " cases.\r<BR>\n" );
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document.write( "(c) How long does it take to reduce the number of cases to 1000? <BR>\n" );
document.write( " years<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 #671353 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q(t) = Q(0)e^(-kt)<BR>\n" );
document.write( "Q(t) = 10000e^(-.12t)<BR>\n" );
document.write( "Q(7) = 10000e^(-.12*7)<BR>\n" );
document.write( "|(c) How long does it take to reduce the number of cases to 1000? <BR>\n" );
document.write( "1000/10000 = e^(-.12*t)<BR>\n" );
document.write( "ln(.1) = -.12t<BR>\n" );
document.write( "ln(.10)/.12 = t\r<BR>\n" );
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