A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function S(t) = 273(1.073)t , where the t represents the number of years since the study started. Based on the function, what is the growth rate? A) 1 B) 0.073 C) 1.073 D) 273

Option B

Growth rate is 0.073

Solution:

Given that,

A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function:

where the t represents the number of years since the study started

We have to find the growth rate

The growth function is given as:

Where,

a is the initial value

r is the growth rate

t is the number of years

Therefore, on comparing we get,

Thus the growth rate is 0.073

20%

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.