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Gala2k [10]
4 years ago
7

In January 2011 the rate of a VAT increased from 17.5% to 20% Work out the difference in price of a car worth £15000 + VAT due t

o the increase of VAT
Mathematics
1 answer:
Jobisdone [24]4 years ago
3 0

Answer:

  £375

Step-by-step explanation:

The tax changed from 17.5% of the car's price to 20% of the car's price, an increase of 2.5% of the car's price.

The increased tax amount is ...

  0.025 × £15000 = £375

The price of the car went up by £375 due to the increase in VAT.

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The hypotenuse of a right triangle is √18 units. what are the lengths of the legs of the triangle? How many different answers ca
storchak [24]
Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:
{c}^{2}  =  {a}^{2}  +  {b}^{2}
Solving for c (hypotenuse), we get:
\sqrt{({c}^{2})} =   \sqrt{({a}^{2}+{b}^{2} )} \\ c =  \sqrt{({a}^{2}+{b}^{2} )}
Therefore c is the root of the square of the other sides. So by having root18, it's like saying:
\sqrt{18} =  \sqrt{({a}^{2}  +  {b}^{2} )}  \\ 18 = {a}^{2}  +  {b}^{2}
Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4
18 = 17 + 1 -  -  >  \sqrt{17}  \: and \: 1 \\ 18 = 16 + 2 -  -  >  \sqrt{16} \: and \:  \sqrt{2}  \\ ... \: 4 \: and \:  \sqrt{2}  \\ 18 = 15 + 3 -  -  >  \sqrt{15} \:  and \:  \sqrt{3}
18 = 14 + 4 -  -  >  \sqrt{14} \:  and \:  \sqrt{4}  \\ ... \sqrt{14} \: and \: 2  \\ 18 = 13 + 5 -  -  >  \sqrt{13} \: and \:  \sqrt{5}   \\ 18 = 12+ 6 -  -  >  \sqrt{12} \:  and \:  \sqrt{6}
18 = 11 + 7 -  -  >  \sqrt{11} \:  and \:  \sqrt{7}  \\ 18 = 10 + 8 -  -  >  \sqrt{10} \:  and \:  \sqrt{8}  \\ ... \sqrt{10} \:  and \: 2 \sqrt{2}  \\ 18 = 9 + 9 -  -  >  \sqrt{9}  = 3 \: and \: 3
I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D


7 0
3 years ago
Pablo is on a road trip which will cover a distance of 840 miles. He plans to break the trip up and will complete it over three
Colt1911 [192]

Answer: 2.87 hours

Step-by-step explanation:

There may be a typo in the question because 55 hours in a day is not logical so you must have meant 5.5 hours.

In that case, the hours he will require on the third day would require the distance left to calculate. Get this distance from the first 2 days.

Day 1 distance travelled = Time * Speed

= 5.5 * 66

= 363 miles

Day 2 distance travelled = Time * Speed

= 5.5 * 58

= 319 miles

Total distance remaining

:= 840 - 363 - 319

= 158 miles

Travelling at 55 miles per hour, the time to be taken is:

= Distance remaining / Speed

= 158 / 55

= 2.87 miles per hour

8 0
3 years ago
A triangle with sides lengths of 5 and 8 solve for x
Elina [12.6K]
The lengths of two sides is not enough information to determine a unique triangle. There are an infinite number of possible correct answers. If 'x' is the length of the third side, then its length can be anything between 3 and 13.
5 0
4 years ago
A(3, -1) and B(6, 0)
Mashutka [201]

Answer:

AB = 3.16 units

Step-by-step explanation:

Given:

A(3, -1) and B(6, 0)

To Find:

AB = ?

Solution:

AB = root{(x2 - x1)^2 + (y2 - y1)^2}

AB = root{(6 - 3)^2 + (0 - (-1))^2}

AB = root{(3)^2 + (0 + 1)^2}

AB = root{9 + (1)^2}

AB = root{9 + 1}

AB = root 10

Therefore, AB = 3.16 units

PLEASE MARK ME AS BRAINLIEST!!!

6 0
3 years ago
What is the product of (9)(-9)(-1)?
LekaFEV [45]
The product of this is 81
5 0
3 years ago
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