If the population of a state is 1,821,000 and is decreasing by 0.2% every year. what will the population be in 5 years? round to the nearest whole number.

1,802,863

Explanation:

Initial population of state = 1,821,000

Decay rate = 0.2% = 0.002

Time = 5 years

The exponential decay function is

where, a is initial value, r is decay rate and t is time in years.

Substitute a=1,821,000 and r=0.002 in the above function.

The population function is .

Substitute t=5 in the above function.

Therefore, the population after 5 years is 1,802,863.