Answer:
It will have a population of 61,779 in 2000.
Step-by-step explanation:
The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

In which P(0) is the population in 1900 and r is the growth rate.
Population of 24,000 in 1900
This means that 
Population of 29,000 in 1920.
1920 is 1920 - 1900 = 20 years after 1900.
This means that P(20) = 29000. So



![\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}](https://tex.z-dn.net/?f=%5Csqrt%5B20%5D%7B%281%2Br%29%5E%7B20%7D%7D%20%3D%20%5Csqrt%5B20%5D%7B%5Cfrac%7B29000%7D%7B24000%7D%7D)

So


What population will it have in 2000
2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).


It will have a population of 61,779 in 2000.