What is the volume of a cylinder with a height of 2 feet and a radius of 6 feet?

The fox population in a certain region has a relative growth rate of 4% per year. It is estimated that the population in year 20

den301095 [7]

Answer:

a) $P(t) = 17900e^{0.04t}$

b) The population estimated in 2008 is of 24651.

Step-by-step explanation:

The population growth model may be given by the following exponential function:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

(A.) Find a function that models the population t years after 2000 (t=0 for 2000)

We have that:

$P_{0} = 17900, r = 0.04$ . So

$P(t) = P_{0}e^{rt}$

$P(t) = 17900e^{0.04t}$

(B.) Use the function from part A to estimate the fox population in the year 2008.

2008 is 8 years after 2000. So:

$P(8) = 17900e^{0.04*8} = 24650.5$

The population estimated in 2008 is of 24651.

3 0

3 years ago

Solve the quadratic equation by graphing: (2 – 7) + 2 = 38 CHOOSE ALL THAT APPLY

RoseWind [281]

The solution is the x-value of the point of intersection.

x ≈ 1 ,1 3

6 0

3 years ago

In △ABC, ∠ABC = 60○

Temka [501]

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is $180^{o}$ .