Question

The population of a state is decreasing at a rate of 10% per annum If the population four years ago was 1450000 what is the present population?​

Answer 1

Answer:

10÷100×1450000=145000

Answer 2

Answer:

The present population of the state is 951345        

Step-by-step explanation:  

Given data

the population of a state is decreasing at rate 10% per annum  

the population four years ago was 1450000

here we need to find present population of state

here initial population of state x = 1450000

                 rate of depreciates r  = 10 %

                         number of years (t) = 4  

⇒ the present population of the state =  x [ 1 - 10/100]⁴  

                             = 1450000 [ 1 -1/10]⁴

                             = 1450000[9/10]⁴

                             = $1450000[\frac{9^{4} }{10000} ]$      [ 10⁴ = 10000 ]

                             = 145[6561] = 951345          [ 9⁴ = 6561]

⇒ the present population of the state = 951345