If the population of state is 1,821,000 decreasing by 0.2% every year what will the population be in 5 years

1,802,862.

Step-by-step explanation:

We have been given that the population of state is 1,821,000 decreasing by 0.2% every year. We are asked to find the population of state after 5 years.

We will use exponential decay function to solve our given problem.

, where,

y = Amount left after x years,

a = Initial amount,

b = For decay b is in form (1-r) where r represents decay rate in decimal form.

x = Number of years.

Let us convert our given rate in decimal form.

Upon substituting our given values in above formula we will get,

Since we can not have 0.69 of a person, therefore, we will round down our answer.

Therefore, the population of state after 5 years will be 1,802,862.