All categories

3 years ago

In Germany, VAT is at 19%

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

Answer:

Amount of VAT paid by Jeremy is € 9.31 .

Step-by-step explanation:

As given

In Germany, VAT is at 19% .

Jeremy buys a calculator in Germany for €58.31

This price includes VAT.

Let us assume that the cost of calculator excluding tax is x .

19% is written in the decimal form .

$= \frac{19}{100}$

= 0.19

VAT Price = 0.19 × Cost price of calculator excluding VAT

= 0.19 × x

= 0.19x

Than

Cost of calaculator + VAT price = Cost of calculator including VAT

x + 0.19 × x = 58.31

x + 0.19x = 58.31

1.19x = 58.31

$x = \frac{58.31}{1.19}$

x = €49 (Approx)

Thus cost price of calculator excluding VAT is €49 .

VAT Price = 0.19 × Cost price of calculator excluding VAT

= 0.19 × 49

= € 9.31

Therefore the amount of VAT paid by Jeremy is € 9.31 .

You might be interested in

Through (-1,3) parallel to y= 5/4x+3

gavmur [86]

Answer:

The equation of line with slope $\frac{5}{4}$ and points ( - 1 , 3 ) is y = $\frac{5}{4}$ x + $\frac{17}{4}$

Step-by-step explanation:

Given equation of a line as :

y = $\frac{5}{4}$ x + 3

The line equation is in the form of y = m x + c

Where m is the slope of the line

Now while comparing given line equation with standard line equation ,

So , slope of the line m = $\frac{5}{4}$

∵ Another line is passing through points ( - 1 , 3 ) , and is parallel to given line

Now <u>if two lines are parallel then slope of both lines are equal </u>

Let The slope of another line = M

So, M = m = $\frac{5}{4}$

∴ The equation of line with slope $\frac{5}{4}$ and passing through points ( - 1 , 3 ) is

y - $y_1$ = M × ( x - $x_1$ )

Or, y - 3 = × $\frac{5}{4}$ ( x + 1 )

or, 4 × ( y - 3 ) = 5 × ( x + 1 )

Or, 4 y - 12 = 5 x + 5

Or, 4 y = 5 x + 17

∴ y = $\frac{5}{4}$ x + $\frac{17}{4}$

Hence The equation of line with slope $\frac{5}{4}$ and points ( - 1 , 3 ) is y = $\frac{5}{4}$ x + $\frac{17}{4}$ Answer

3 0

3 years ago

what are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2? - a = , b = 3, c = 2 - a = , b = –3, c = –2 - a =

Dafna11 [192]

$x^2-3x-2=0\\\\a=1;\ b=-3;\ c=-2\\\Delta=b^2-4ac\\\\\Delta=(-3)^2-4\cdot1\cdot(-2)=9+8=17 \ \textgreater \ 0\\\\then\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{3-\sqrt{17}}{2\cdot1}=\boxed{\dfrac{3-\sqrt{17}}{2}}\\\\x_2=\dfrac{3+\sqrt{17}}{2\cdot1}=\boxed{\dfrac{3+\sqrt{17}}{2}}$