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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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In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily
yanalaym [24]

Answer:the uncle is 54 years old.

The woman is 18 years old

Step-by-step explanation:

Let x represent the age of the uncle.

Let y represent the age of the woman that he married.

In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that

x = 3y

He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that

x + 18 = 2(y + 18)

x + 18 = 2y + 36 - - - - - - - - - - 1

Substituting x = 3y into equation 1, it becomes

3y + 18 = 2y + 36

3y - 2y = 36 - 18

y = 18

x = 3y = 3 × 18

x = 54

6 0
1 year ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
1 year ago
Tyler reads 2/15 of a book on Monday, 1/3 of it on tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on thus day. If he
kykrilka [37]

The number of pages in the book is 180

<u>Explanation:</u>

The first thing we should do is to convert these fractions to percentage

Monday = \frac{2}{15} X 100 = 13.33\\\\Tuesday = \frac{1}{3} X 100 = 33.33%\\\\\\Wednesday = \frac{2}{9} X 100 = 22.22%\\\\\\\\

3/4 of the remainder on thursday:

Thursday: (100 - (13.33 + 33.33 + 22.22) * (3/4) = 23.33%

he still has 14 pages left to read on friday

Friday:  [100 - (13.33 + 33.33 + 22.22) ] - 23.33 = 7.77%

Which means that 14 pages represent 7.77% of the book.

Therefore the number of pages of the book is given by:

=\frac{100}{7.77} X 14\\\\= 180

Therefore, number of pages in the book is 180

4 0
1 year ago
A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total a
Semenov [28]

Answer:

The width of the pathway is:

  • <u>7 meters</u>.

Step-by-step explanation:

To identify the width of the pathway, you must remember the area formula of a rectangle:

  • Area of a rectangle = length * width.

From which the width can be cleared:

  • Width of a rectangle = area / length.

We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:

  • Width of a rectangle = 240 m^2 / 16 m = 15 m.

The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.

  • <u>Pathway width = Total width - Garden width. </u>
  • <u>Pathway width = 15m - 8m = 7 meters.</u>
7 0
1 year ago
Mrs. Long keeps 25 books on her shelf for her students to read. Six of the books are non-fiction.
dedylja [7]

Answer:24%

Step-by-step explanation:

6 divided by 25 is .24

4 0
2 years ago
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