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Novay_Z [31]
3 years ago
10

Tyler currently earns $15.50/h. Mr. Davis decides to give Tyler a 10% raise and a one-time bonus for this week of $200 for his h

ard work. Five percent of the hourly wage is deducted for taxes. Tyler works 35 h this week. How much will Tyler’s check be this week?
Mathematics
1 answer:
azamat3 years ago
7 0
Well, he worked 35 hours
he makes 15.5 per hour in 35  hours will  be 15.5 * 35

then he gets a 10% bump from Mr. Davis
so. he really made (15.5 * 35) plus 10% of that, 10% = 10/100 = 0.1
so (15.5 * 35) + (15.5 * 35)(0.01)

then those hourly wages take a bite of 5% from the taxman
subtract  5% of that, 5% = 5/100 = 0.05
so subtract  (15.5 * 35)(0.05)

then add Mr. Davis generous bonus, the bonus is not taxable,
the wages, including the 10% increase, ARE taxable
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Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x.  To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there.  Any number you plug in for x should get you the right answer

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Assoli18 [71]
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3 years ago
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Ainat [17]

Answer: x = 17/9

Step-by-step explanation: Lets solve for x.

9x - 5 = 12

9x - 5 + 5 = 12 + 5

9x = 17

9x/9 = 17/9

x = 17/9

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3 years ago
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almond37 [142]

Answer:

≈ 56°

Step-by-step explanation:

Using the sine ratio in the right triangle

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? = sin^{-1} ( \frac{34}{41} ) ≈ 56° ( to the nearest degree )

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