A population is 30,000 in year $t=0$ and declines at a continuous rate of $5 \%$ per year. What is the formula for $P(t)$, the population in year $t$ ?
A) $P(t)=30,000(5)^{t}$
B) $ P(t)=30,000(0.95)^{t}$
C) $P(t)=30,000 e^{0.95 t}$
D) $ P(t)=30,000 e^{-0.05 t}$

Question

Quizplus · Accepted Answer

The Answer of A population is 30,000 in year $t=0$ and declines at a continuous rate of $5 \%$ per year. What is the formula for $P(t)$, the population in year $t$ ?
A) $P(t)=30,000(5)^{t}$
B) $ P(t)=30,000(0.95)^{t}$
C) $P(t)=30,000 e^{0.95 t}$
D) $ P(t)=30,000 e^{-0.05 t}$

A Population Is 30,000 in Year t=0t=0t=0 And Declines at a Continuous Rate Of

A Population Is 30,000 in Year $t=0$ And Declines at a Continuous Rate Of