The number of dogs in a city is declining at a rate of about .08% each
year. If there were 3500 cats to begin with, how many will there be in 10
years?

Respuesta :

Answer:

There will be 3472 cats in 10 years

Step-by-step explanation:

There were 3500 cats

The number of dogs in a city is declining at a rate of about 0.08% each  year.

We are supposed to find the no. of cats in 10 years

Formula :[tex]N(t)=N_0(1-r)^t[/tex]

Where N(t) = Remaining cats after t days

[tex]N_0[/tex] = Initial population

r = rate of depreciation

t=time

So, No. of cats remained after 10 years = [tex]3500(1-\frac{0.08}{100})^{10}=3472.100[/tex]

Hence There will be 3472 cats in 10 years