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Ray Of Light [21]
4 years ago
5

A TV costs £800 plus a VAT if 20% What us the total cost of the TV?

Mathematics
2 answers:
Sonbull [250]4 years ago
4 0
800 * 1.20 = 960 <==

or this way..
800 + 0.20(800) = 800 + 160 = 960 <==
Hunter-Best [27]4 years ago
3 0

Given, the cost of TV = $800.

The total cost includes a VAT of 20%.

So we have to find first 20% of $800.

20% of $800 = (800)(\frac{20}{100} )

= \frac{(800)(20)}{100}

= \frac{16000}{100}

= 160

So the amount of VAT = $160.

Total cost of TV = cost of TV + VAT on it

Total cost of TV = $800 + $160 = $(800+160) = $960

So we have got the required answer.

Total cost of TV = $960.

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4 0
3 years ago
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Translate and solve using proportions 6.5% of what number is $3.77
marshall27 [118]

Answer:

<u>The quantity is US$ 58, which 6.5% is US$ 3.77 </u>

Step-by-step explanation:

Number = x

6.5% of x = $ 3.77

6.5% = 0.065 = 65/1,000 = 13/200 (Dividing by 5)

3.77 = 3 + 77/100 (We can't simplify 77/100)

Thus,

13/200 * x = 3 77/100

13x/200 = 377/100

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x = 754/13 (Dividing by 13 at both sides)

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7 0
4 years ago
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a
Amanda [17]

The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are \mathbf{10\sqrt{10 },10\sqrt{10 }}

The area is given as:

\mathbf{A = 1000}

Let the dimension be x and y.

So, we have:

\mathbf{A = xy = 1000}

Make x the subject

\mathbf{x = \frac{1000}{y}}

The perimeter is calculated as:

\mathbf{P = 2(x + y)}

Substitute \mathbf{x = \frac{1000}{y}}

\mathbf{P = 2(\frac{1000}{y} + y)}

Expand

\mathbf{P = \frac{2000}{y} + 2y}

Differentiate

\mathbf{P' = -\frac{2000}{y^2} + 2}

Set to 0

\mathbf{ -\frac{2000}{y^2} + 2 = 0}

Rewrite as:

\mathbf{ -\frac{2000}{y^2}  = -2}

Divide both sides by -1

\mathbf{\frac{2000}{y^2}  = 2}

Multiply y^2

\mathbf{2000  = 2y^2}

Divide by 2

\mathbf{1000  = y^2}

Take square roots of both sides

\mathbf{y = \sqrt{1000 }}

\mathbf{y = 10\sqrt{10 }}

Substitute \mathbf{y = \sqrt{1000 }} in \mathbf{x = \frac{1000}{y}}

\mathbf{x = \frac{1000}{\sqrt{1000}}}

\mathbf{x = \sqrt{1000}}

\mathbf{x = 10\sqrt{10 }}

Hence, the dimensions that minimize the perimeter are \mathbf{10\sqrt{10 },10\sqrt{10 }}

Read more about perimeters at:

brainly.com/question/6465134

8 0
3 years ago
11. An experiment is set up to study the weights of 45 frogs after they are given a hormone treatment. The population mean is 22
sveta [45]

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The e standard error of the sample mean =\dfrac{2.96}{\sqrt{45}}

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So

15.6 = 3x + 3

12.6 = 3x

4.2 = x

So, the lengths of the sides are 4.2, 4.2, 7.2

5 0
4 years ago
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