Population growth rate exponentially for a a given year,given the a certain rate per annum?

To calculate the population growth rate exponentially for a given year, you need to know the initial population, the growth rate per annum, and the number of years.

The formula to calculate exponential population growth is:

P = P0 * e^(r * t)

Where:
P = final population after t years
P0 = initial population
r = growth rate per annum (expressed as a decimal)
t = number of years

Let's say the initial population is 1000, the growth rate per annum is 0.05 (5% per annum), and you want to calculate the population after 10 years.

P = 1000 * e^(0.05 * 10)
P = 1000 * e^0.5
P ≈ 1000 * 1.6487212707
P ≈ 1648.72

Therefore, the population after 10 years would be approximately 1648.72.