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Norma-Jean [14]
3 years ago
9

Josh gets paid at a rate of $10.73 per hour. He also gets paid time and a half for overtime (over 40 hours). If he worked 47 hou

rs this week, what is his pay before taxes?
Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Answer:

$541.90

Step-by-step explanation:

We'll start with his regular pay, 40 hours times $10.73

10.73 x 40 = 429.20

His overtime pay is 10.73 + 1/2(10.73) = 10.73 + 5.365 = 16.095, rounded to 16.10

He worked 7 hours at the rate of $16.10/hour

16.10 x 7 = 112.70

Add the two totals together for his total pay before taxes:

429.20 + 112.70 = 541.90

Please lmk if you have questions.

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Anna71 [15]

Answer:

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Step-by-step explanation:

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3 years ago
A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e
ladessa [460]

Answer:

\frac{r(1-\sqrt{2})}{-3}

Step-by-step explanation:

Volume of cone = \frac{1}{3} \pi r^{2} h

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

                          = \frac{1}{3} \pi r^{2} \times r

                          = \frac{1}{3} \pi r^{3}

Surface area of cone including 1 base = \pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}

Since r = h

So, area = \pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}

              = \pi r^{2} +\pi\times r \times \sqrt{2r^2}

              = \pi r^{2} +\pi\times r^2 \times \sqrt{2}

Ratio of volume of cone to its surface area including base :

\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}

\frac{\frac{1}{3}r}{1+\sqrt{2}}

\frac{r}{3(1+\sqrt{2})}

Rationalizing

\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}

\frac{r(1-\sqrt{2})}{-3}

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is \frac{r(1-\sqrt{2})}{-3}

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3 years ago
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D. QR.

Step-by-step explanation:

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1. Write the following rational numbers as quotients of two integers.
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Answer:

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