Question

The projected population of a certain ethnic group(in millions) can be approximated by p(t)=36.05(1.016)^t where t=0 corresponds to 2000 and 0<_t<_50.

What is the instantaneous rate of change of the population when t=10?

Answer 1

find d/dt and then set t =10

Answer 2

can u break that down?

Answer 3

@Mertsj

Answer 4

@jennychan12

Answer 5

yeah what @tomo said
for me, i would rewrite it as
\[p(t) = 36.05(1.016)^t\]
find d/dt
Hint: \[\frac{ d }{ dx } (a^x) = a^x (\ln a )\]