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miss Akunina [59]
3 years ago
5

If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott

om of the building?

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

(building)^2 + (missing piece)^2 = (ladder)^2

6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

x^2 = 64. square root of both sides

x = 8

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D. There are 200 crayons in the box. If you just made it 25% of 200 is 50 which is the closest number to answer based on a quick estimation:) 
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3 years ago
Fixed costs are $3,000, variable costs are $5 per unit. The company will manufacture 100 units and chart a 50% markup. Using the
dmitriy555 [2]

Answer:

1. Using the cost-plus pricing method, the selling price = $5.25

2. The change in selling price from 2018 to 2019 is $3.69 or 33.5% reduction.

3. To break-even, unit sales = 4,000 units

To realize a target return of $200,000, the unit sales = 5,600 units

4. Units to break-even = 12,500 meals

Sales revenue at break-even point = $125,000

Step-by-step explanation:

a) Data and Calculations:

Fixed costs = $3,000

Variable costs per unit = $5

Units manufactured = 100 units

Total variable costs = $500 ($5 * 100)

Total costs = $3,500 ($500 + $3,000)

Cost per unit = $3.50

Markup percentage = 50%

Using the cost-plus pricing method, the selling price = $5.25 ($3.50 * 1.5)

b) Fixed costs per year = $150,000

Variable costs per unit = $3

Production units = 30,000

Total variable costs = $90,000 ($3 * 30,000)

Cost-based pricing with a profit margin = $3 per unit

Total costs = $240,000 ($90,000 + $150,000)

Cost per unit = $8 ($240,000/30,000)

Selling price per unit = $11 ($8 + $3)

Variable cost = $2 per unit

Production units = 65,000 units

Total costs = ($2 * 65,000 + $150,000)

= $280,000 ($130,000 + $150,000)

Unit cost = $4.31 ($280,000/65,000)

Selling price = $7.31 ($4.31 + $3)

Change in selling = $3.69 ($11 = $7.31) = 33.5%

c) Fixed costs = $500,000

Per unit costs = $75

Proposed price = $200

Contribution margin per unit = $125 ($200 - $75)

To break-even, unit sales = $500,000/$125 = 4,000 units

To realize a target return of $200,000, the unit sales = $700,000/$125 = 5,600 units

d) Kitchen and related equipment costs = $100,000

Other fixed costs per year = $50,000

Variable costs = $6 per platter

Price per meal = $10

Contribution margin per meal = $4 ($10 - $6)

Units to break-even = $50,000/$4 = 12,500 meals

Sales revenue at break-even point = $50,000/40% = $125,000

5 0
3 years ago
If there is a positive correlation between salary and education, then based on the table shown, which of the following careers r
asambeis [7]
It is A. accountant because out of the options you gave me that one gets paid the most 
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3 years ago
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The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her sch
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I’m not sure though.

3 0
3 years ago
Read 2 more answers
Please someone do this for me
nlexa [21]

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

y=2x-8

x = -2

y=2(-2)-8=-4-8=-12

A = -12

x = 0

y = 2 (0)-8=-8

B = -8

x = 2

y = 2 (2) -8 = 4-8 = -4

C = -4

Hope this helps

8 0
2 years ago
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