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klio [65]
3 years ago
15

Work the following pricing problems for services rendered. (For all calculations use hundredths.)

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

Hourly Rate = $12.22 per hour

Step-by-step explanation:

\text{Labor Time = }4\tfrac{1}{2}=4.5\thinspace{ hours}

Overhead Rate = 95%

Retail price of parts = $134.75

Total cost of job = $241.98

Cost of labor = Total cost - Retail price

                      = 241.98 - 134.75

                      = $107.23

Now, labor works for 4.5 hours and ears a total amount of $107.23

\implies\text{Amount earned in one hour or hourly rate = }\frac{107.23}{4.5}\\\\\implies \text{Hourly rate = }\$23.83\text{ per hour}

Now, Labor will get 95% overhead rate

⇒ The labor is getting 100% already but an overhead of 95% is also given

\text{So, Hourly Rate = }\frac{23.83}{1+0.95}\\\\\bf\implies\textbf{Hourly Rate = }\$12.22\textbf{ per hour}

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IRINA_888 [86]

Answer: 2

Step-by-step explanation:

Recall from the laws of Logarithms:

Log a - Log b = Log ( a/b )

That means

Log 200 - Log 2 = Log ( 200/2)

= Log 100 , which could be written as

Log 10^{2}

Recall from laws of Logarithms:

Log a^{b} = b Log a

Therefore:

Log10^{2} = 2 Log 10

Also from law of Logarithm

Log 10 = 1

Therefore 2 Log 10 = 2 x 1

= 2

3 0
2 years ago
What is fifty seven and one hundred forty two thousandths in standard form?
Vinvika [58]
57.142 i think it would be correct
4 0
3 years ago
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Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the
Mice21 [21]

Answer:

Option A. 30\ pounds

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=10/2=5\ in ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

r=5\ in=5/12\ ft

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(5/12)^{3}

V=0.3029\ ft^{3}

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

0.3029*100=30.29\ pounds

Round to the nearest pound

30.29=30\ pounds

6 0
3 years ago
Evaluate the given expression if a​ = 2 and ​b​ = -4 <br> a2-b3
IceJOKER [234]

Answer:

31

Step-by-step explanation:

{a}^{2}  -  {b}^{3}  \\  \\  =  {(2)}^{2}  -  {( - 3)}^{3}  \\  \\  = 4 - ( - 27) \\  \\  = 4 + 27 \\  \\  = 31

5 0
3 years ago
the combined area of two squares is 45 square centimetres each side is twice as long as a side of the other square what length o
Ostrovityanka [42]

Answer:

Let the side of  one square be x.    Area = x*x = x²

Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

you simplify

Therefore  5x²  = 45   Divide both sides by 5

                 x²  =  45/5

                 x²  = 9        Take square root of both sides

                 x   =  √9

                 x  = 3

Length of larger square is 2x  = 2*3 = 6 cm

Length of larger square = 6cm

Step-by-step explanation:

4 0
2 years ago
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