The population $$p(t)$$ at time $$t$$ of a certain mouse species satisfies the differential equation $$\frac{dp(t)}{dt} = 0.5\, p(t) - 450$$. If $$p(0) = 850$$, then the time at which the population becomes zero is

A

$$2\ln 18$$

B

$$\ln 9$$

C

$$\frac{1}{2}\ln 18$$

D

$$\ln 18$$