7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the

Mathematics

1 answer:

Mandarinka [93]3 years ago

4 0

Answer:

$30,000

Step-by-step explanation:

profit = amount of sales - expenses

The company spends $5 on each set. it sells each set for $7.

The profit on each set is $7 - $5 = $2.

For each set the company sells, it makes $2 of profit.

It cost the company $45,000 to start production, and the company wants a profit of $15,000. The company needs to earn $45,000 + $15,000 = $60,000 in profits.

Since the profit per set is $2, the number of sets it needs to sell is

$60,000/$2 = 30,000

Answer: 30,000 sets

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Digiron [165]

$\boxed{y=\mid x \mid +14}$

<h2>Explanation:</h2>

Let's graph the equation:

$y=\mid x \mid$

Which is the red graph shown below. As you can see this is the pattern of the Absolute Value Function. In order to translate this graph 14 units up, let's add 14 to $\mid x \mid$ . In doing so we get the new function:

$y=\mid x \mid + 14$

So we get a new graph which is the blue one. In order to prove that this is the correct translation, let's take the vertex of the red graph which is the origin. To translate this graph 14 units up implies that each point is shifted 14 units up, so for the vertex of the red graph:

$Vertex \ of \ the \ red \ graph: \\ \\ V(0,0) \\ \\ \\ Vertex \ of \ the \ new \ graph: \\ \\ (0,0+14) \\ \\ (0,14)$

So the new vertex matches the vertex of the blue graph. Finally, the equation for the translation of $y=\mid x \mid$ 14 units up is $y=\mid x \mid +14$