contestada

for a period of time, an island's population grows exponentially. if the population doubles every 17 years and the current population is 1,725, what will the population be 10 years from now?

Respuesta :

Tutorconsortium413

After 10 years the population growth will be 3054, if the population doubles after every 17 years.

What is Exponential function?

A mathematical function with the form f (x) = ae^x is an exponential function. "x" is a variable, and "a" is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that is most frequently used.

Growth rate = 100% in 17 years

  In 1 year = 5.88% growth

Initial population = P₀ = 1725

Time = 17 years

So, after 10 years population

        P= P₀ ( 1 + [tex]\frac{r}{100}[/tex])^t

           = 1725 ( 1 + 5.88/100 )^10

           =≈ 1725 * 1.77

           =≈ 3054

Hence, the population growth after 10 years at the rate of 5.88 % would be 3054.

To learn more about Exponential function, visit:

https://brainly.com/question/14355665

#SPJ4

Otras preguntas