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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

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3 years ago
the vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation
ser-zykov [4K]

Answer:

45+10x = y

Step-by-step explanation:

$45 -- stays the same no matter what so that's constant.

$10 -- this varies dependent on the number of vaccinations your dog needs, so you'd use a variable to represent the number of vaccinations (in this case I'm using variable "x").

So, for example if your dog needed 7 vaccinations, it would be: 45+10(7) = y -- answer being $115.

6 0
3 years ago
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​
s2008m [1.1K]

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

5 0
3 years ago
Jamal pays an initial fee of $50 and $4.00 for each audio book he downloads?
olganol [36]

Answer:

4x + 50 = y

Step-by-step explanation:

Since it is $4 for each audiobook, this means that it is the slope.

Since Jamal started with an initial fee, this makes it the y-intercept.

So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y

<u>Y-intercept</u> is the starting number, in this case, the initial fee.

<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent

6 0
1 year ago
I don’t understand how to find the height
ANTONII [103]

Answer:

<u>height</u><u>,</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>2</u><u>3</u><u>5</u><u> </u><u>ft</u>

Step-by-step explanation:

From trigonometric ratios:

\cos( \theta)  =  \frac{adjacent}{hypotenuse}

but:

\theta = 90 \degree - 36 \degree \\  \theta = 54 \degree

adjacent is x

hypotenuse is 400 ft

\ \cos ( 54 \degree)  =  \frac{x}{400}  \\  \\ x = 400 \ \cos (54 \degree)  \\ x = 235 \: \:  feet

8 0
3 years ago
Read 2 more answers
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