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3 years ago

Labor time = 8 hours

2 answers:

6 0

8(1.65)R + 98.70 = 242.58 13.20R = 143.88 [subtract 98.70 from both sides] R = $10.90 / hr. [divide both sides by 13.20]

Masteriza [31]3 years ago

5 0

Answer:

Hourly Rate for labor = 10.9%

Step-by-step explanation:

Labor time = 8 hours

Overhead rate = 65%

Retail price of parts = $98.70

Total cost of job = $242.58

Let hourly rate of the labor be r

⇒ Labor time × (1 + overhead rate) × r + Retail price = Total cost

⇒ 8 × (1 + 0.65) × r + 98.70 = 242.58

⇒ 8 × 1.65 × r = 242.58 - 98.70

⇒ 13.2 × r = 143.88

⇒ r = 10.9

Thus, Hourly Rate for labor = 10.9%

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Find the mean,median,mode and,range of the following data set 18 12 14 12 16 24 18 12 14

devlian [24]

Answer:

Mean = 15.5

Median = 14

Mode = 12

Range = 12

Step-by-step explanation:

The mean is the sum of all the values divided by the number of values.

So mean = S/N.

There are 9 values, so N = 9.

These values are 18,12,14,12,16, 24,18,12,14. So S = 18+12+14+12+16+24+18+12+14 = 140

Mean = 140/9 = 15.5

-------------------------------------------------------------------------------

For the median, the first step is to sort all the elements in a crescent way.

So 12 12 12 14 14 16 18 18 24

Then you will need to consider whether N is even or odd.

If N is even, to find the median you need to sum the values at the positions N/2 and (N/2)+1 and divide by 2.

In this case, N is odd. So the median will be the value at the position (N+1)/2, which is 14.

--------------------------------------------------------

The mode is the value that appears most often in a set. In this set, 12 appears 3 times, 14 and 18 appears twice and while 12 and 13 appear once each. So the mode is 12.

--------------------------------

The range of a set is:

Highest value - Smallest Value

In this set: range = 24-12 = 12

4 0

3 years ago

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, t

NemiM [27]

Answer:

$460.38

Step-by-step explanation:

Use the exponential decay formula, y = C(1 - r)^t

Plug in the original price, depreciation rate, and amount of time:

y = 20000(0.875)^11

y = 460.38

So, the car's value after 11 years will be $460.38

6 0

3 years ago

What are the solutions to the inequality?

kirill115 [55]

The answer should be the 3rd one.

5 0

4 years ago

6- the radical of 25 over 4

vladimir2022 [97]

6 - 5/2
which in turn results into 7 halfs
(7/2)

4 0

3 years ago