Question

In how many years will the population of a town be 10816
from 10,000 at the growth rate 4% per annum?(Ans: 2 yrs.)​

Answer 1

Answer:

2 years

Step-by-step explanation:

Initial value (P) = 10,000

Final value (A) = 10816

Rate of growth (R) = 4%

Let the number of years be n.

A = P (1 + R/100)ⁿ

=> 10816 = 10,000 (1 + 4/100)ⁿ

=> 10816/10000 = (104/100)ⁿ

10816/10000 can be written as (104/100)².

=> (104/100)² = (104/100)ⁿ

=> n = 2

Therefore, the answer is 2 years.