In 1980 the population of alligators in a particular region was estimated to be 1700. In 2005 the population had grown to an estimated 7000.
Using the Malthusian law for population growth, estimate the alligator population in this region in the year 2020.

The Malthusian law for population growth have the folowing form:

the population of alligators in

where is the initial population size , r is the rate of growth and t is time.

By substracting 1980 from t we could say that our is 1700 (the population of alligators in 1980):

and that let us with:

Now we can solve for the 2005 population of 7000 alligator:

By knowing the definition of exponential we can solve:

now we can estimate by replacing t with 2020

So the approximate population in 2020 is 16364 alligators in that region.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

what golf ball

step-by-step explanation: