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hammer [34]
2 years ago
7

Megan is checking her tax bill for the last year.

Mathematics
1 answer:
Tanya [424]2 years ago
8 0
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>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 <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>

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

Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>

Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800

Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
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The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how
NikAS [45]

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

-36=-16t^2

-36 / -16 = 9/4

9/4=t^2

square root of 9/4 is 3/2 or 1.5

t=1.5

3 0
1 year ago
Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number
liberstina [14]

Answer:

The system has an infinite set of solutions (x,y) = (x, \frac{x-5}{4})

Step-by-step explanation:

From the first equation:

20x - 80y = 100

20x = 100 + 80y

x = \frac{100 + 80y}{20}

x = 5 + 4y

Replacing on the second equation:

-14x + 56y = -70

-14(5 + 4y) + 56y = -70

-70 - 56y + 56y = -70

0 = 0

This means that the system has an infinite number of solutions, considering:

x = 5 + 4y

4y = x - 5

y = \frac{x - 5}{4}

The system has an infinite set of solutions (x,y) = (x, \frac{x-5}{4})

8 0
2 years ago
Fractions equivalent to -2/-3
Amanda [17]

Answer:

2/3, 4/6, -4/-6... gtg sorry if you needed more

Step-by-step explanation:

7 0
2 years ago
Find a solution to the following system of equations. –5x + y = –5 –4x + 2y = 2
Arte-miy333 [17]
-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2

-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
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solution is (2,5)

8 0
3 years ago
_______________________<br> can someone help me solve this question? Thank you.
Zinaida [17]

Answer:

-60

Step-by-step explanation:

Factor the problem out using FOIL.

The end result is: −60x^{2}−84x+9

The value of coefficent a (the number in front of the x^2) is -60.

8 0
2 years ago
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