A tangent line is always perpendicular to the radius that shares the point of tangency. In other words, where your tangent line touches the circle (at only one point), that line is perpendicular to the radius at that point.
a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars
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b. Write the revenue function:: R(x) = 300x where x is number of guitars
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c. Find the profit function.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = [ R(x) ] - [ C(x) ]
P(x) = [ 300x ] - [ 100x+100,000 ]
P(x) = 300x - 100x-100,000
P(x) = 200x - 100,000
The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.
Solve 125x - 100,000 = 0
125x = 100,000
x = 800 (# of guitars made and sold)
Let x represent the height of the model.
We have been given that a construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. We are asked to find the height of the model, if the building is expected to be 200 feet tall.
We will use proportions to solve our given problem as:
Upon substituting our given values, we will get:
Therefore, the model will be 18.75 inches tall.
Answer:
13:30 military time, 1:30 normal time.
