Question

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

Answer 1

that would be 1,821,000(1 - 0.002)^5 = 1.802,862 answer

(Note 2% = 0.002 as a decimal fraction.)

Answer 2

1,802,862.

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.

`y=a\cdot b^x`, 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.

`0.2\%=(0.2)/(100)=0.002`

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

`y=1,821,000 \cdot(1-0.002)^5`

`y=1,821,000 \cdot(0.998)^5`

`y=1,821,000 \cdot 0.990039920079968`

`y=1,802,862.69`

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

`y=1,802,862.69\approx 1,802,862`

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