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Mademuasel [1]
3 years ago
10

A line passes through the point (4,-2),(9,-8).Write an equation for the line in point-slope form. Then rewrite the equation in s

lope-intercept form
Mathematics
1 answer:
DiKsa [7]3 years ago
5 0
First find the slope of the line segment joining <span>(4,-2) and (9,-8).  It is:
        -8+2       -6
m = -------- = ------
          9-4         5

Using slope-intercept form,   y = mx + b:

                                              -8 = (-6/5)(9) + b, or -8 = -54/9 + b.

Then b must be -8 = -54/9 + b.  Solve for b: 

-72    54        -18
----- - ----- = -------- = -2.  Then y = mx + b becomes y = (-6/5)x - 2 (slope-
   9      9           9              intercept form).

Point-slope form is y-k = m(x-h), where (h,k) is a point on the line.

Then   y - (-8) = (-6/5)(x-9).  This is in point-slope form.
                                                                      </span>
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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
Which equation can be used to find the measure of the angles below if line a is parallel to line b?
IgorC [24]
I think the answer is c
5 0
3 years ago
Read 2 more answers
A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.
soldier1979 [14.2K]

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

6 0
3 years ago
the area of a reactangle mirror is 11 11/16 square feet the width of the mirror is 2 2/4 feet. if there is a 5 foot tall space o
77julia77 [94]
So square feet is area which is legnth times width or area=lw or a=lw

width=w=2 2/4
2/4=1/2
w=2 1/2=5/2

a=lw
11 11/16=187/16
187/16=l(5/2)

multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)

374/80=legnth
simplify
374/80=187/40=4 27/40=legnth

legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit
8 0
3 years ago
0.09+27/100=?/100+27/100​
Naily [24]

Answer:

x = 9

Step-by-step explanation:

0.09+27/100=x/100+27/100

0.09=x/100

9=x

4 0
3 years ago
Read 2 more answers
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