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sdas [7]
3 years ago
10

Carys is checking her tax bill for the last year.

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

Answer:

<u>Tax = £7,440</u>

Step-by-step explanation:

Given: Carys earned £45,600 before tax.

1) No tax on the first £11,000 of earnings ⇒ tax = 0

2) Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%

3) Earnings in excess of £43 000 and up to £150 000 taxed at a rate of 40%

So, Carys earning in between £43,000 and £150,000

So, £45,600 = £11,000 + £32,000 + £2,600

The tax should she pay = £11,000 * 0 + £32,000 * 20% + £2,600 * 40%

    = 11,000 * 0 + 32,000 * 0.2 + 2,600 * 0.4

    = 0 + 6,400 + 1,040 = £7,440

<u>So, she should pay £7,440</u>

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5 0
3 years ago
−1/8(2h+4)+12=−7/4<br><br> What is h?
vaieri [72.5K]
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3 0
3 years ago
Nita finds that the expression (a + 1) 2 is sometimes, but
kenny6666 [7]

I guess the expressions are supposed to be (<em>a</em> + 1)² and (<em>a</em> + 1)³.

Consider the inequality,

(<em>a</em> + 1)² > (<em>a</em> + 1)³

Move everything to one side:

(<em>a</em> + 1)² - (<em>a</em> + 1)³ > 0

Factorize the left side:

(<em>a</em> + 1)² (1 - (<em>a</em> + 1)) > 0

-<em>a</em> (<em>a</em> + 1)² > 0

<em>a</em> (<em>a</em> + 1)² < 0

Notice that the left side is exactly 0 if either <em>a</em> = 0 or <em>a</em> = -1.

Now consider the following 3 cases:

• If <em>a</em> < -1, then <em>a</em> is negative, while (<em>a</em> + 1)² is always non-negative, which means <em>a</em> (<em>a</em> + 1)² will always be negative.

• If -1 < <em>a</em> < 0, then again <em>a</em> is negative, so <em>a</em> (<em>a</em> + 1)² is also negative.

• If <em>a</em> > 0, then <em>a</em> (<em>a</em> + 1)² is always positive.

So the inequality is satisfied for all <em>a</em> in the interval (-∞, -1) ∪ (-1, 0). This is to say that (<em>a</em> + 1)² is always greater than (<em>a</em> + 1)³ if <em>a</em> is chosen from this domain.

Another way to look at this: assume <em>a</em> + 1 falls between -1 and 1. Whenever you scale a number between -1 and 1 by another number in the same range, the product will always be smaller than the original number.

More concretely, let's say <em>a</em> + 1 = 1/2. So for instance, 1/2 * 1/2 = (1/2)² = 1/4, and 1/4 is clearly smaller than 1/2. If we multipy again by 1/2, we get 1/2 * 1/2 * 1/2 = (1/2)³ = 1/8, which is smaller than 1/4.

5 0
3 years ago
Cindy purchased 100 bricks. Each brick is within 1/8 inch of the advertised length of 8 inches. Cindy will line the bricks up en
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100*8=800
Then take 1/64 of this
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Hope this helps

7 0
3 years ago
What is the volume???
Shalnov [3]

Answer:

that would be 80

Step-by-step explanation:

Here it is

3 0
3 years ago
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