MATHEMATICS HIGH SCHOOL

Work the following pricing problems for services rendered. (Round to tenths.)Labor rate = $8.00 per hour
Labor time = 6 hours
Retail price of parts = $0
Total job cost = $86.00
Overhead rate?

Answers

Answer 1

Answer:

Answer:

Overhead rate = $6.3

Step-by-step explanation:

Given : Labor rate = $8.00 per hour

Labor time = 6 hours

Retail price of parts = $0

Total job cost = $86.00

To find : Overhead rate

Solution:

Overhead cost = Total Cost - The cost of all inputs

The Overhead Rate is this number divided by total labor hours.

Total job cost = $86.00

Labor Cost = labor rate × labor time = 8 × 6 = $48

Retail price of parts:$0

Overhead Costs = total cost - labor cost= $86 - $48 = $38

Now, we divided overhead cost by labor hours to get overhead rate,

Overhead Rate $=(38)/(6)=6.33$

Therefore, Overhead rate is $6.3

Answer 2

Answer:

Answer:

55.8

Step-by-step explanation:

8x6= 48

48/86 into percent= 55.814%

therefore it would be rounded to 55.8

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Solve the following system of equations by using the substitution method.x – y = 3
2x + 2y = 2

(3, 4)

(-4, 5)

(2, -1)

Answers

Solution :

Given equations, $x-y=3\n2x+2y=2$

Applying Substitution method to solve the equation.

Solve the first equation $x-y=3$ for x,

$x-y=3\:\Rightarrow x=3+y$

Substitute the value of x in second equation,

$2x+2y=2\n\n\Rightarrow 2(3+y)+2y=2\n\n\Rightarrow 6+2y+2y=2\n\n\Rightarrow6+4y=2\n\n\Rightarrow4y=2-6\n\n\Rightarrow4y=-4\n\n\Rightarrow y=(-4)/(4) =-1\n\n\Rigtharrow y=-1$

To calculate the value of x substitute the value of y in first equation

$x-y=3\n\n\Rightarrow x-(-1)=3\n\n\Rightarrow x=3-1=2\n\n\Rightarrow x=2$

Hence, the solution of the equations $x-y=3\n2x+2y=2$ is (2,-1).

3,4 would be the answer

Consider circle H with a 3 centimeter radius. If the length of minor arc RS is 5/2π, what is the measure of ∠RST? Assume that chords RS and TS are congruent.

Answers

Given:
Radius = 3 cm
length of minor arc = 5/2π

length of the minor arc = 2 π r (x/360°)
5/2π = 2 π r (x/360°)
5/2 * 3.14 = 2 * 3.14 * 3 (x/360°)
5/6.28 = 18.84 (x/360°)
6.28(5/6.28) = 6.28(18.84)(x/360°)
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1800 / 118.32 = x
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