document.write( "Question 758931: During an epidemic , the number of people who have never had the disease and who are not immune ( they are susceptible) decreases exponentially according to the function f(t) = 15,000e^-.05t, where t is time in day. find the number of susceptible people at each time.
\n" ); document.write( "(a) at the beginning of the epidemic
\n" ); document.write( "(b) after 10 days
\n" ); document.write( "(c) after 3 weeks \n" ); document.write( "

Algebra.Com's Answer #461756 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
f(t) = 15,000e^-.05t\r
\n" ); document.write( "\n" ); document.write( "a) At the beginning t = 0
\n" ); document.write( " f(t) = 15,000e^-.05x0
\n" ); document.write( " f(t) = 15,000e^0
\n" ); document.write( " as e^0 = 1
\n" ); document.write( " f(t) = 15,000
\n" ); document.write( "b) after 10 days
\n" ); document.write( " f(t) = 15,000e^-.05 x 10
\n" ); document.write( " f(t) = 15,000e^-.5
\n" ); document.write( " f(t) = 9097.9
\n" ); document.write( "c) after 3 weeks
\n" ); document.write( " f(t) = 15,000e^-.05 x 21
\n" ); document.write( " f(t) = 15,000e^-1.05
\n" ); document.write( " f(t) = 5249.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)\r
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