The populations of wolves in a state park after t years is modeled by the function p(t)= 400/1+(99e^-.03t). When will the number of wolves be 100?

p(t) = 100

=> 100 = 400/[1+(99e^-.03t)]

=> 1+(99e^-.03t) = 4

=> e^(-.03t) = 1/33

=> -0.03t = -ln(33)

=> t = ln(33) /.03

 => t = 116.5