A population of squirrels with an initial population size of 950 gives birth to 39 squirrels and during the next 12 months 20 die. Assuming geometric growth, what will be the size of the population 6 years from now .
To find the size of the population 6 years from now, we need to calculate the population size after 6 years.
The formula for geometric growth is:
P = P₀ * r^t
Where P is the population size after t years, P₀ is the initial population size, r is the growth rate, and t is the number of years.
In this scenario, the initial population size (P₀) is 950, the growth rate (r) is (number of births - number of deaths) / population size = (39 - 20) / 950 = 19 / 950 = 0.02, and the number of years (t) is 6.
Therefore, the population size after 6 years will be:
P = 950 * 0.02^6
Calculating this:
P = 950 * 0.000064
P ≈ 0.06
Rounding to the nearest whole number, the population size 6 years from now will be 0.