Answer:
The population of town after 1 year is 25,750 .
Step-by-step explanation:
Given as :
The rate of increase in the population of town each year = 3 %
The initial population of town = 25,000
Let the population of town after one year = x
So,
The population after n year = initial population × ![(1+\dfrac{\textrm rate}{100})^{\textrm n}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%20rate%7D%7B100%7D%29%5E%7B%5Ctextrm%20n%7D)
Or, The population after 1 year = 25,000 × ![(1+\dfrac{\textrm 3}{100})^{\textrm 1}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%203%7D%7B100%7D%29%5E%7B%5Ctextrm%201%7D)
Or, The population after 1 year = 25,000 × ![(1.03)^{1}](https://tex.z-dn.net/?f=%281.03%29%5E%7B1%7D)
Or, The population after 1 year = 25,000 × 1.03
∴ The population after 1 year = 25,750
Hence The population of town after 1 year is 25,750 . Answer