A bird species in danger of extinction has a population that is decreasing exponentially left parenthesis upper a equals upper a 0 e superscript kt right parenthesis . six years ago the population was at 1400 and today only 1000 of the birds are alive. once the population drops below 100 , the situation will be irreversible. when will this happen

This will happen in 39 years.

Explanation:

The population of the birds varies as A = A.e^kt

The population of birds fell from 1400 from 1000

Time it will take for the population to fall below 100 = x years.

when t = 0, population = 1400

t= 3; Population = 1000

Therefore:

1400 = 1000e^5k

e^5k= 1400/1000

k= (In 1.4)/5

we need to find x, such that

1400/1000= (e^xk)

14=(e^xk)

In(14) =kx

x= 5In(14)/In(1.4)

x= 39 years

lysosomes contain a variety of enzymes, enabling the cell to break down various biomolecules it engulfs, including peptides, nucleic acids, carbohydrates, and lipids (lysosomal lipase). the enzymes responsible for this hydrolysis require an acidic environment for optimal activity. hope i !