Answer:
3. markup: $150
selling price: $300
4. markup: $19.20
selling price: $67.20
5. markup: $55
selling price: $165
6. markup: $90
selling price: $450
7. markup: $3.75
selling price: $16.25
8. markup: $7.14
selling price: $27.54
Step-by-step explanation:
To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:
3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:
100% = 1
150 * 1 = 150
The markup is 150.
To find the selling price we add the markup to the initial value:
150 + 150 = 300
The selling price is 300.
I applied this method to all of the questions.
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.
1. Solve by differentiation (Derivative = 0 at the vertex)
dy/dx= 2x-4
0=2x-4
0=2(x-2)
x=2
when x=2 y=-5
therefore vertex (2,-5)
1) regular cost for one person is: 32 ×1 = $32
for X people it would be 32X as you should times by the number of people.
= 32x
2)1 person is (20×1) + 84
20 + 84 = $104
for X people it would be 20x + 84
= 20x + 84
