1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Effectus [21]
3 years ago
9

A mail carrier at the U.S. Postal Service works on Sunday delivering​ high-priority letters and packages. She can deliver 14 ite

ms per hour. The fixed hourly costs​ (vehicle depreciation,​ insurance, etc.) equal ​$47 and the hourly variable costs​ (time and a half​ wages, etc.) total ​$0.90 per item delivered. How much must the U.S. Postal Service charge for each item delivered in order to break even on Sunday​ deliveries?
Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

Answer:

$4.257

Step-by-step explanation:

Given:

Items delivered per hour = 14

Fixed hourly costs​ = ​$47

variable cost = $0.90

Now,

at breakeven point, the profit = 0

or

Total revenue = total cost

let the charge at breakeven point be 'x'

thus,

x × 14 = $47 +  ($0.90 × 14)

or

x × 14 = $47 + $12.6

14x = $59.6

or

x = $4.257

Hence, the breakeven charges are $4.257

You might be interested in
Mike and his best friend found some money under the couch. they split the money evenly, each getting $6.02. how much money did t
svp [43]
 they found $12.04 under the couch and split into two ways getting $6.02 each 

7 0
3 years ago
What is -2m^2-2mn+8-10m+10n+mn+4n^2-5n simplify to
Mrac [35]
Find like terms and group them
3n and 5n are same and 4n^2 and 4n^2 are same
but 3mn and 5n are not and 3n and 2n^3 are not

group like terms
(-2m^2)+(-2mn+1mn)+(8)+(-10m)+(10n-5n)+(2n^2)
add like terms
(-2m^2)+(-mn)+(8)+(-10m)+(5n)+(2n^2)
-2m^2+2n^2-10m+5n-mn+8 is simplest form

4 0
3 years ago
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s
My name is Ann [436]
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39         /2
</span>⇒ 16x + 14y = 78

Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2


y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
3 0
3 years ago
Read 3 more answers
I need this asap ty:p
Anastasy [175]

Answer:

(a) x = -2y

(c) 3x - 2y = 0

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

  • y = x/-2 → y = -1/2x
  • This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

  • 2y = 12 - x
  • y = 6 - 1/2x
  • This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.

(c) 3x - 2y = 0

  • -2y = -3x
  • y = 3/2x
  • This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

  • y = -5x²
  • This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.

(e) y = 0.3x + 1.6

  • 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.

(f) y - 2 = x

  • y = x + 2
  • 2 is being added to x, so it is <u>NOT</u> an example of direct variation.

The following equations are examples of direct variation:

  • x = -2y
  • 3x - 2y = 0
7 0
3 years ago
Read 2 more answers
Of the 15 year olds at karate school 8 have black belts in 20 had Brown belts among 16 year olds 10 have black belts in 17 have
RSB [31]

Answer:

16 year olds had the higher ratio of black belts to brown belts.

Step-by-step explanation:

15 year olds: 8/28 students had black belts

8/28 = 28.6% had black belts

16 year olds: 10/27 students had bald belts

10/27 = 37.0% had black belts

5 0
3 years ago
Other questions:
  • Find the greatest common factor (GCF) for 18, 27 and 54.
    15·1 answer
  • The youth center has another mural painted inside the building. if the original painting is 3 feet by 2 feet, and the mural is 1
    6·1 answer
  • Item 14 You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main
    12·2 answers
  • Question 3 (1 point)
    12·2 answers
  • What is the slope of the line if the points are (-2,5) and (3,-5)
    12·1 answer
  • Solve for m: 329 + 5.75m = 363.50
    8·1 answer
  • - 4(6 + 5g) equivalent expressions
    12·1 answer
  • 0) Craig buys a ring for $500. He sells it for $750.
    6·2 answers
  • Given that y varies inversely as x, and y = 8 when x = 3, what is the value of y when x = 12?
    8·2 answers
  • Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!