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Answer:
The approximate number of years until the species is extinct will be 9 years
Step-by-step explanation:
We are given
The population of a species is modeled by the equation
where
t is the number of years
we have to find time when species extinct
we know that any species will be extinct only if population of that species becomes 0
so, we can set P(t)=0
and then we can solve for t
we can factor it
we get t value as imaginary for this equation
So,
the approximate number of years until the species is extinct will be 9 years