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

Question

Mathematics

Hadley Lindsey

20 October, 21:53

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

+4

Answers (1)

Know the Answer?

Nina · Answer 1

58.1 minutes

Step-by-step 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

A virus is spreading through a computer network according to theformula v (t) = 30e^0.1t, where v is the number of computers infected and t is the time inminutes. How long will it take the virus to infect 10,000 computers? 10,000 (t) = 30e^0.1t

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