Respuesta :
that would be 1,821,000(1 - 0.002)^5 = 1.802,862 answer
(Note 2% = 0.002 as a decimal fraction.)
(Note 2% = 0.002 as a decimal fraction.)
Answer:
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.
[tex]y=a\cdot b^x[/tex], 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.
[tex]0.2\%=\frac{0.2}{100}=0.002[/tex]
Upon substituting our given values in above formula we will get,
[tex]y=1,821,000 \cdot(1-0.002)^5[/tex]
[tex]y=1,821,000 \cdot(0.998)^5[/tex]
[tex]y=1,821,000 \cdot 0.990039920079968[/tex]
[tex]y=1,802,862.69[/tex]
Since we can not have 0.69 of a person, therefore, we will round down our answer.
[tex]y=1,802,862.69\approx 1,802,862[/tex]
Therefore, the population of state after 5 years will be 1,802,862.
