Answer: 6.6 miles
Step-by-step explanation:
Since he finished 22% of his skiing in the morning, that means he still has 78% (100% - 22%) of his skiing left.
The remaining 78% is equivalent to 23.4 miles. We need to know the total miles of the skiing. This will be:
78% of x = 23.4
0.78 × x = 23.4
0.78x = 23.4
x = 23.4 / 0.78
x = 30 miles
Since the total skiing is 30 miles and he has 23.4 miles left, the miles covered in the morning will be:
= 30 - 23.4
= 6.6 miles
Answer: Graph C
Step-by-step explanation:
y-2 < -2x+2
y<-2x+4
slope is negative so it goes down. y int is 4.
insert (0, 0) into equation and 0 < 4 is true so shade where the origin is.
If a set covers a range of points, including those between isolated points and can not be written as a list, it is called continuous set. Continuous set are not restricted to defined separate values, they can occupy any value over a continuous range.
Answer:
The total revenue is
.
The marginal revenue is
.
The fixed cost is $900.
The marginal cost function is
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of
goods at price
is given by

The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by

From the information given we know that the price they can sell cakes is given by the function
, where
is the number of cakes sold per day.
So, the total revenue is

And the marginal revenue is

The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by

We know that the total cost function of the company is given by
, which it is equal to

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is
