Growth rate math question

Question

The population of Littleton is currently 23 500. Given that Littleton’s exponential growth rate is 2.3% per year:  

a)  Predict the population in 10 years given that the growth rate remains at 2.3%.

b) When will the population reach 50 000?

Answer 1

a) Population = 23500(1.023)¹⁰ =29,500

b) 23500(1.023)^x = 50000, x = 33.2 years