The population p(t) satisfies dp(t)dt=0.5p(t)-450, p(0)=850.

Question

The population $p(t)$ satisfies $\dfrac{dp(t)}{dt}=0.5p(t)-450$, $p(0)=850$. The time at which the population becomes zero is:

Accepted Answer

(Same setup as Question 141.) $p(t)=900-50e^{t/2}$; setting $p=0$: $e^{t/2}=18 \implies t=2\ln18$.

Solutions · 1