You order items from a menu that total $10.75. your bill comes to $11.66, including tax. what is the percent of increase (tax)
1 answer:
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Answer:
The cost function is .
The revenue function is .
The profit function is .
Step-by-step explanation:
We have the following definitions:
The cost function is a mathematical formula that gives the total cost to produce a certain number of units. It consists of variable costs and fixed costs and is given by
If units are sold and the price per unit is
, then the total revenue is
and is called the revenue function.
If units are sold, then the total profit is
and is called the profit function.
Applying the above definitions we get that:
We know that the company has fixed monthly costs of $130,000 and production costs on its product of $32 per unit.
Therefore,
The cost function is .
We know that the company sells its product for $66 per unit.
Therefore,
The revenue function is .
The profit function is
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Answer:
27.932 in
Step-by-step explanation:
The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:
y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees
The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.
y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.
The valve cap is 27.932 in. above the ground.
