If you would like to know what will the approximate population be after 3 years, you can calculate this using the following steps:
an initial population ... 820 quail
an annual rate ... 23%
an exponential function to model the quail population:
f = 820(1+23%)^t = 820(1+23/100)^t
f ... quail population
t ... time (years)
t = 3 years
f = 820(1+23/100)^t = 820(1.23)^3 = 1525.9 quail
The correct result would be 1525.9 quail after 3 years.