Respuesta :
Answer: Approximately 25187 animals of this species will be left in 2025
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the population of animals after x years.
x represents the number of years.
b represents the initial population of animals.
r represents rate of decay.
From the information given,
b = 200000
r = 4.5% = 4.5/100 = 0.045
x = 2025 - 1980 = 45 years
Therefore,
y = 200000(1 - 0.045)^45
y = 200000(0.955)^45
y = 25187
Answer:
There'll be approximately 25187.3059 animals of this species in 2025.
Step-by-step explanation:
In this case we have a compounded interest problem, but the interest rate is negative, since the number will be decreasing. To solve it we can use the compound interest formula shown bellow:
M = C*(1 + r)^(t)
Where M is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed.
In this case the time elapsed was from 1980 to 2025, so 45 years. Applying the data to the formula gives us:
M = 200000*(1 + (-0.045))^(45)
M = 200000*(1 - 0.045)^(45)
M = 200000*(0.955)^(45)
M = 25187.3059
There'll be approximately 25187.3059 animals of this species in 2025.
