Question

If a microbiologist cultured 3000 cells at a rate of 7%, how many days will it take for 360 new cells to reproduce?

Answer 1

Answer:A = A0ekt

where A0 = 3000, k = 7% (or 0.07)

A = (3000 + 630) = 3630 = 3000e[(0.07)t]

Our goal is to find t

[(3630)/(3000)] = e[(0.07)t]

ln{[(3630)/(3000)]} = (0.07)t

(0.07)t = 2*ln(11/10)

t = = 2.7 days

Explanation: