Question

Assume that two colonies each have 1100 members at time t = 0 and that each evolves with a constant relative birth rate k = ro-rd. for colony 1, assume that individuals migrate into the colony at a rate of 50 individuals per unit time.

Answer 1

To find the final population after a certain delay, use the formula for population growth: P = Po * e^(rt). Plug in the initial population, growth rate, and time delay to find the final population.

Step-by-step explanation:

To find the final population after a certain delay, we can use the formula for population growth:

P = Po * e^(rt)

Where P is the final population, Po is the initial population, r is the growth rate, and t is the time delay. In this case, the initial population is 30 million, the growth rate is the difference between the birth and death rates (35 - 10 = 25 per 1000 per year), and the time delay is 40 years. Plugging these values into the formula:

P = 30 million * e^(25/1000 * 40)

Calculating this expression will give you the final population.