Can someone help me figure this math problem please?

Question

A certain species of bird was introduced in a certain county 25 years ago. Biologists observe that the population doubles every 10 years, and now the population is 23,000.

(a) What was the initial size of the bird population?

(b)Estimate the bird population 8 years from now

Answer 1

P₀ = initial population (25 years ago)

t = elapsed time in years

P(t) = P₀ (2)^t/10

(a)

23,000 = P₀ (2)^25/10 = P₀ 2^2.5

P₀ = 23,000 / 2^2.5 = 4066

(b)

t = 25 + 8 = 33

P(33) = 4066 (2)^33/10 = 40,047