An automobile insurance company sells an insurance policy with an annual premium of $444. Based on claims data from the last decade, the company has calculated that 4% of the policy holders claim $2,000, 12% claim $1,200, and 20% claim $600. Will the company make money?

Yes, they will make a profit

Step-by-step explanation:

Here, we want to calculate if the insurance company will make money

The insurance company will make money if the amount at which it sells the policy is greater than the amount of claims made.

The average amount of claims is as follows;

(4% of 2000) + (12% of 1,200) + (20% of 600)

= 80 + 144 + 120 = $344

So the profit made by the company will be $444- $344 = $100

The insurance company will make a profit

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2