Question

A virus is spreading through a computer network according to the

formula v(t) = 30e^0.1t, where v is the number of computers infected and t is the time in
minutes. How long will it take the virus to infect 10,000 computers?​
10,000(t) = 30e^0.1t

Answer 1

58.1 minutes

Explanation:

v(t) = 30e^(0.1t)

10,000 = 30e^(0.1t)

1000/3 = e^(0.1t)

ln(1000/3) = 0.1t

t = 10 ln(1000/3)

t ≈ 58.1