The answer is 182100, because you multiply .2 by 5 which gives us .10, you then multiply .10 by 1,821,000, giving us 182100
Answer:
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
[tex]f(t)=a(1-r)^t[/tex]
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.
[tex]f(t)=1,821,000(1-0.002)^t[/tex]
[tex]f(t)=1,821,000(0.998)^t[/tex]
The population function is [tex]f(t)=1,821,000(0.998)^t[/tex].
Substitute t=5 in the above function.
[tex]f(5)=1,821,000(0.998)^5[/tex]
[tex]f(5)=1802862.69447[/tex]
[tex]f(5)\approx 1802863[/tex]
Therefore, the population after 5 years is 1,802,863.
