Answer:
Step-by-step explanation:
Given is an exponential growth function as
[tex]P=120e^{0.05t}[/tex]
This means population is expanding continuously at 5% per annum
Standard form of growth function is
[tex]P = P_0 e^{rt}[/tex]
where P0 is the initial population and r = continuous growth rate
Comparing we get
a) The continuous percent growth rate is_____5________%
b) [tex]P = (120) e^{0.05t}[/tex]
where P0 = initial population = 120 and
growth rate = 5%
Annual growth rate can be found out using derivatives
[tex]P' = \frac{dP}{dt} =120 (0.05)e^{0.05t} \\= 60e^{0.05 t}[/tex]
This means annual growth is 20% of the population at that time.
.The annual percent growth rate is_____20_________% of population at that time.
