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.)
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2
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.
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