there were 200,00 animals of a certain species in 1980. since then, this number has decreased by 4.5% each year. approximately how many animals of this species will be left in 2025?

Respuesta :

Answer:

The number of animals of the species will be left in 2025 = 2519 animals

Step-by-step explanation:

The number of animals of a certain species in 1980 = 20000

The rate of decrease each year = 4.5 %

The number of animals left in 2025 = ???

The number of years between 1980 and 2025 = 45

By formula of depreciation,

[tex]Pn = P (1 - R/100) ^ T[/tex]

where Pn is the population in 2025

P is the population in 1980

R is the rate of decrease in population

Substituting the values in the equation, we get

[tex]Pn = 20000 (1 - 4.5/100) ^ {45}[/tex]

= [tex]20000 (0.955) ^ {45}[/tex]

=2518.7 = 2519 species.