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mars1129 [50]
3 years ago
13

Marta Kellogg, a health care worker, has an hourly pay rate of $15.40

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

$685.30

Step-by-step explanation:

Her hourly pay is $15.40

Her overtime pay is 1.5 x $15.40 = $23.10

She works 37 normal hours = 37 x $ 15.40 = $569.80

She works 5 overtime hours = 5 x $23.10 = $115.50

Adding her normal + overtime = $569.80 + $115.50 = $685.30

Hope this helps! Let me know if you have any questions :)

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P(2)=(1-0.06)^2=(0.94)^2=0.8836</span>
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What fraction of 2 kg is 275g? Give your answer in simplest form.
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Answer:

Step-by-step explanation:

1kg=1000g

2kg=2000g

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The sales tax is 6.25% from $100
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Step-by-step explanation:

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Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

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