A population of 2000 starfish has a yearly per capita population growth rate of 0.012. By next year, how do you expect population size to have changed?

Assume that the population grows exponentially according to the equation d N d t = r N

It will increase by 50 starfish
It will increase by 24 starfish
It will increase by 100 starfish
It will increase by 200 starfish

It will increase by 24 starfish

Step-by-step explanation:

The population is modeled by the following differential equation:

Which has the following solution:

In which N(0) is the initial population and r is the growth rate.

A population of 2000 starfish has a yearly per capita population growth rate of 0.012.

This means that

By next year, how do you expect population size to have changed?

This is N(1).

2024 - 2000 = 24

So the correct answer is:

It will increase by 24 starfish

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).