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.