2x + 75 = 8x + 9 Please help for a quiz

Megan is checking her tax bill for the last year.

Tanya [424]

Given that Megan's tax rates were as follows:
No tax one the first £11000 of earnings
Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
Earnings over £150000 taxed at a rate of 45%
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First £11000 = £0 tax
Balance after first £11000 = £158900 - £11000 = £147900

Next (£43000 - £11000 = £32000) = 20% of £32000 = 0.2 x £32000 = £6400 tax
Balance after next £32000 = £147900 - £32000 = £115000 

Next (£150000 - £43000 = £107000) = 40% of £107000 = 0.4 x £107000 = £42800 tax
Balance after next £107000 = £115000 - £107000 = £8000

Remaiming £8000 = 45% of £8000 = 0.45 x £8000 = £3600 tax

Total tax = £6400 + £42800 + £3600 = £52800

Therefore, she paid a total of £52800 in tax last year.

8 0

3 years ago

What is the answer to 3(x^2-8x-7)

rewona [7]

3x^2-24x-21 would be your answer

5 0

3 years ago

Read 2 more answers

Determine if the two triangles are congruent and write the conjecture. pls help

viva [34]

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.

6 0

3 years ago

7x²+3y²-28x-12y=-19

grigory [225]

Complete the square for x and y.

7x^2 + 3y^2 - 28x - 12y = -19

7x^2 - 28x + 3y^2 - 12y = -19

7(x^2 - 4x) + 3(y^2 - 4y) = -19

7(x^2 - 4x + 4) + 3(y^2 - 4y + 4) = -19 + 28 + 12

7(x - 2)^2 + 3(y - 2)^2 = 21

$\dfrac{(x - 2)^2}{3} + \dfrac{(y - 2)^2}{7} = 1$

4 0

3 years ago

The maximum value of 12 sin 0-9 sin²0 is: -

jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be $\theta$ rather than 0 which makes sense and proceed accordingly