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pishuonlain [190]
2 years ago
14

Carys is checking her tax bill for the last year. The tax rates were as follows: No tax of the first £11 000 of earnings. Earnin

gs in excess of of £11 000 and up to £43 000 taxed at a rate of 20%. Earnings in excess of £43 000 and up to £150 000 taxed at a rate of 40%. Earnings over £150 000 taxed at a rate of 45%. Last year Carys, earned £45 600 before tax. How much tax did she pay in total. Show your working.
It isn't £18240 it says its wrong
Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
6 0
£11000 is the tax free allowance, so we deduct 11000 from 45600=34600. This qualifies for the 40% rate. That comes to £13,840.
KatRina [158]2 years ago
3 0

Answer:

total tax is = 14685 pound

Step-by-step explanation:

Given data:

For first year -  

earning is 11000 pound

for second year

income is = 43000 - 11000 = 32000 pound

tax rate = 20%

for third year

income is = 150000 - 43000 = 107000 pound

tax rate = 40%

for fourth year

income is = 158900 - 150000 = 8900 pound

tax rate = 45%

As it is given there is no tax on first year

Tax in 2nd year  = 0.20 × 32000 = 6400 pound

Tax in 3rd year  = 0.40 × 107000 = 42800 pound

Tax in 4th year  = 0.45 × 8900 = 4005 pound

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Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What
Alchen [17]

Answer: C)27:1

Step-by-step explanation:

Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.

Volume of cylinder = \pi r^2h, where r= radius and h = height.

Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .

The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

\dfrac{\text{Volume of pipe A}}{\text{Volume of pipe B}}=\dfrac{6^3}{2^3}\\\\=\dfrac{216}{8}=\dfrac{27}{1}

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1

So, the correct option is C)27:1.

7 0
2 years ago
Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the p
anzhelika [568]

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

5 0
1 year ago
Josephine bought 8 packets of biscuits. Each packet had a mass of 500 g
Nataly_w [17]

Answer: 985 g

Step-by-step explanation:

Total mass = 8 × 500g = 4000g

Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.

4000g = X + Y + Z

let's put X and Z in terms of Y, since we're trying to solve for the second pack.

X = 2Y, and Z = Y + 60

Therefore,

4000 = X + Y + Z

4000 = 2Y + Y +Y + 60

4000 = 4Y +60

4000 - 60 = 4Y

3940 = 4Y

3940 ÷ 4 = Y

985g = Y = mass of the second pack

7 0
2 years ago
A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is
Usimov [2.4K]
The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:

V = πr²h
V = π(8/2)²(20)
V = 1005.31 cm³

Therefore, the correct answer is option 1. Hope this answers the question. Have a nice day.
8 0
2 years ago
Read 2 more answers
PLEASE HELP!! laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standa
Lunna [17]

Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

z = \frac{x - \mu}{\sigma}

Where z is the standard value, x is the original value, \mu is the mean and \sigma is the standard deviation. So we have that:

standard value of 900: z = \frac{900 - 750}{75} = 2

standard value of 975: z = \frac{975 - 750}{75} = 3

Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

z = 2 -> p_2 = 0.9772

z = 3 -> p_3 = 0.9987

We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

8 0
2 years ago
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