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baherus [9]
2 years ago
6

a vacuum cleaner is marked to sell for Rs 12000 after 12% discount is given and then vat is added if the customer paid Rs 12144

,what is the rate of vat​
Mathematics
1 answer:
bonufazy [111]2 years ago
7 0

The rate of VAT on the vacuum cleaner is 15%

<h3>How to determine the rate of VAT?</h3>

The given parameters are:

Selling price = Rs 12000

Discount = 12%

Amount Paid = 12144

The amount paid is calculated as:

Amount Paid = Selling Price * (1 - Discount) * (1 + VAT)

So, we have

12144 = 12000 * (1 - 12%) * (1 + VAT)

Evaluate the difference

12144 = 12000 * 0.88 * (1 + VAT)

Evaluate the product

12144 = 10560 * (1 + VAT)

Divide both sides by 10560

1.15 = (1 + VAT)

Subtract 1 from both sides

VAT = 0.15

Express as percentage

VAT = 15%

Hence, the rate of VAT on the vacuum cleaner is 15%

Read more about sales tax at:

brainly.com/question/9437038

#SPJ1

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5 0
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For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
Ne4ueva [31]

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

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(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

                       - 40x + 72

              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

6 0
3 years ago
What are the roots of the equation x^2+6x-9=0
Mila [183]

Answer:

x = approx. 1.24 or -7.24

Step-by-step explanation:

It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.

x²+6x-9=0

x²+6x=9

x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)

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Answer:

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1.  and            

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3.                                                

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Step-by-step explanation:

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