Respuesta :

Answer:

There are 784 number of cheetahs in 4 years.

Step-by-step explanation:

Given : A population of 1250 cheetahs decreases by 11% per year.

To find : How many cheetahs in 4 years?

Solution :  

The population decreased at rate is given by,

[tex]N=N_o(1-r)^t[/tex]

Where, N is the total population

[tex]N_o=1250[/tex] is the initial population

r=11%=0.11 is the rate

t=4 years is the time.  

Substitute the values,                

[tex]N=1250(1-0.11)^4[/tex]    

[tex]N=1250(0.89)^4[/tex]

[tex]N=1250\times 0.62742241[/tex]

[tex]N=784.2780[/tex]

Therefore, there are 784 number of cheetahs in 4 years.