A company paid a ₦25200 electricity bill to NEPA. The bill included VAT at 5%. Calculate the amount of VAT paid​

Answers

Answer 1

Answer:

1260

Step-by-step explanation:

5÷100=0.05

0.05×25200=1260


Related Questions

A geometric sequence starts with 12,.
...,27,..., 60.75,...
where 12 is the first term, 27 is the third term and 60.75 the fifth term.
Work out the common ratio of the sequence.

What’s the answer?

Answers

Answer:

b

Step-by-step explanation:

it's right cause I took the quix

Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?

Answers

Answer:

7.61 miles

Step-by-step explanation:

Given that,

Haley hikes 3 miles north and 7 miles east.

We need to find the shortest distance from the campground to the waterfall. Let the distance is D.

It can be calculated as follows :

[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]

So, the shortest distance from the campground to the waterfall is 7.61 miles.

Solve 5x2-2x-8=0 using the quadratic formula.

Answers

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?

Answers

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree

Answers

The shadow of the tree is 12ft long. Divide the height of the tree (24) by Victors height (6), which will equal 4. Then multiple 4 and the height of victors shadow. (this is my first time doing this, hope it helped:)

Ratio remains same

Let that be x

[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]

[tex]\\ \rm\rightarrowtail 2=x/24[/tex]

[tex]\\ \rm\rightarrowtail x=48[/tex]

find distance between (0,6) and (8,0)​
with process.......

Answers

Answer:

answer to the question is 10 units..

Answer:

10 units

Step-by-step explanation:

(0 , 6) = (x1 , y1)

(8 , 0) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]

=[tex]\sqrt{8^2 + (-6)^2}[/tex]

=[tex]\sqrt{64 + 36}[/tex]

=[tex]\sqrt{100}[/tex]

=10 units

An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?

Answers

Answer:

The author sold a total of 30240 books following this trend.

Step-by-step explanation:

Let's find 5% of 14400 first;

14400 * 5%

14400 * 5/100

144 * 5

720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)

=> aₙ = a₁ + r(n - 1)

=> a₂₃ = 14400 + 720(23 - 1)

=> a₂₃ = 14400 + 720(22)

=> a₂₃ = 14400 + 15840

=> a₂₃ = 30240

Hope this helps!

The author sold a total of 30240 books following this trend.

Let's find 5% of 14400 first;

[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]

What is an arithmetic progression?

A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.

So using the arithmetic progression we have:

[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]

See more about arithmetic progression at brainly.com/question/20385181

You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?

Answers

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

if 5x-26=x+50, then what is the value of x

Answers

Answer:

x = 19

Step-by-step explanation:

5x - 26 = x + 50

Subtract x on both sides of the equation.

4x - 26 = 50

Add 26 on both sides.

4x = 76

Now, divide by 4 on both sides.

x = 19

Answer:

x = 19

Step-by-step explanation:

5x-26=x+50

5x = 76 +x

4x = 76

x = 19

An angle is bisected by a segment forming two new angles find m

Answers

Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42

Answers

Can you edit it because I don’t understand

Pls I need help with this

Answers

Answer:

third side = 4

Step-by-step explanation:

third side is hypoenuse as it is opposite to 90 degree.

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotenuse)^2

2^2 + (2[tex]\sqrt{3[/tex] )^2 = hypotenuse^2

4 + 4*3 = hypotenuse^2

16 = hypotenuse^2

[tex]\sqrt{16}[/tex] = hypotenuse

4 = hypotensue

PLEASE ANSWER THIS QUESTION IM BEGGING YOU !

Answers

6% chance of pulling blue and then yellow

Answer:

5/36

Step-by-step explanation:

There are 12 tiles

P( blue) = blue /total = 5/12

We put the first tile back so there are still 12 tiles in the bag

P(yellow) = yellow/total = 4/12 = 1/3

P( blue, yellow) = 5/12 * 1/3 = 5/36

PLEASE HELP!!
ILL GIVE MORE POINTS TO THE FASTEST ANSWER

Answers

It’s really easy do not make it complicated on yourself!

Fist thing you should know ANY NUMBER WHICH IS TO POWER ZERO THE ANSWER WILL ALWAYS BE ONE!!

Part A : (7^2)^x is (49)^x

(49)^x = 1 , here is basically asking you what’s the value of X to know which number to the power of 49 to put so that it equals to 1, obviously the answer is 0 as we said before ANY NUMBER TO THE POWER OF 0 , the answer will be 1

Part A = 0
————————-

Part B IS GONNA BE WAY EASIER NOW TRUST ME!!

(7^0) = 1

(1)^x = 1

So now is asking what number to put for x for you to multiply by one to get one it’s obviously 1, because 1 x 1= 1

Part B = 1
————-
I hope you understand my explanation so good luck and best of wishes!!

please help thank you

Answers


I don’t know it is really hard to learn

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

The polynomial x3 + 8 is equal to

Answers

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)

Step-by-step explain

. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50

Answers

Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer

The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator

Answers

Answer:

x = √3

Step-by-step explanation:

Find the diagram attached

Given

Opposite = √3

Adjacent = x

Acute angle theta = 45degrees

According to SOH CAH TOA;

tan theta = opp/adj

tan 45 = √3/x

x = √3/tan45

x = 1

x = √3

Hence the value of x in its simplest radical form is √3

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Answers

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

[tex]x - y = 25[/tex]

[tex]2x + 3y = 180[/tex]  

(2)

[tex]2x - 3y = -5[/tex]

[tex]11x + y = 550[/tex]  

(3)

[tex]x - y = 19[/tex]

[tex]-12x + y = 168[/tex]

Solutions

[tex](-17,-36)[/tex]

[tex](47, 33)[/tex]

[tex](51, 26)[/tex]

Required

Match equations with solutions

(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]

Make x the subject in: [tex]x - y = 25[/tex]

[tex]x = 25 + y[/tex]

Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]

[tex]2(25 + y) + 3y = 180[/tex]

[tex]50 + 2y + 3y = 180[/tex]

[tex]50 + 5y = 180[/tex]

Collect like terms

[tex]5y = 180-50[/tex]

[tex]5y = 130[/tex]

Solve for y

[tex]y =26[/tex]

Recall that: [tex]x = 25 + y[/tex]

[tex]x = 25 + 26[/tex]

[tex]x = 51[/tex]

So:

[tex](x,y) = (51,26)[/tex]

(2)  [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]

Make y the subject in [tex]11x + y = 550[/tex]

[tex]y = 550 - 11x[/tex]

Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]

[tex]2x - 3(550 - 11x) = -5[/tex]

[tex]2x - 1650 + 33x = -5[/tex]

Collect like terms

[tex]2x + 33x = -5+1650[/tex]

[tex]35x = 1645[/tex]

Solve for x

[tex]x = 47[/tex]

Solve for y in [tex]y = 550 - 11x[/tex]

[tex]y = 550 - 11 * 47[/tex]

[tex]y = 550 - 517[/tex]

[tex]y = 33[/tex]

So:

[tex](x,y) = (47,33)[/tex]

(3)

[tex]x - y = 19[/tex]  and [tex]-12x + y = 168[/tex]

Make y the subject in [tex]-12x + y = 168[/tex]

[tex]y = 168 + 12x[/tex]

Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]

[tex]x - 168 - 12x = 19[/tex]

Collect like terms

[tex]x -12x = 168 + 19[/tex]

[tex]-11x = 187[/tex]

Solve for x

[tex]x = -17[/tex]

Solve for y in [tex]y = 168 + 12x[/tex]

[tex]y =168-12 *17[/tex]

[tex]y =-36[/tex]

So:

[tex](x,y) = (-17,-36)[/tex]

If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?

Answers

21 (don’t believe me)

HELP PLSSSSSSSZzzzzzzzzzzzz

Answers

Answer:

w equal to 9z

or z equals to w/9

I need help with this problem pls help!

Answers

Answer : y = x/7 - 2

i’m so confused on how to do it

Answers

Answer:

785.4

Step-by-step explanation:

The formula to find the surface area of a cylinder is

2* pi* radius* height + 2* pi* 2radius.

2( 3.14) (5) (20)= 628

2 (3.14* 5*5)= 157

628+ 157= 785.

Test question........................

Answers

You Have Passed Thy Test!!! BADAAAA (\•o•/)

You forgot to attach the question to your test

What are the dimensions of the rectangle shown on the coordinate plane?

Answers

The base is 5 units and the height is 4 units.

Hope this helps! :)

Solve 270=3e^2.4K to the nearest hundredth

If you can solve this for me could you please give steps so I can understand, please and thank you so much!

Answers

Given:

The equation is:

[tex]270=3e^{2.4K}[/tex]

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

[tex]270=3e^{2.4K}[/tex]

Divide both sides by 3.

[tex]\dfrac{270}{3}=e^{2.4K}[/tex]

[tex]90=e^{2.4K}[/tex]

Taking ln on both sides, we get

[tex]\ln (90)=\ln e^{2.4K}[/tex]

[tex]\ln (90)=2.4K[/tex]                  [tex][\because \ln e^x=x][/tex]

Divide both sides by 2.4.

[tex]\dfrac{\ln (90)}{2.4}=K[/tex]

[tex]\dfrac{4.4998}{2.4}=K[/tex]           [tex][\because \ln (90)\approx 4.4998][/tex]

[tex]1.874916667=K[/tex]

Round the value to the nearest hundredth (two decimal place)

[tex]K\approx 1.87[/tex]

Therefore, the value of K is 1.87.

I need help I’m stuck

Answers

The answer is b and have a nice day

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Answers

Perimeter of the board

2x²+5x-3=0
using completing the square method​

Answers

Answer:

[tex]2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3[/tex]

Answer:

x= [tex]\frac{1}{2}[/tex]     or     x= -3

Step-by-step explanation:

[tex]\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }[/tex]

First ensure that the coefficient of x² is 1.

x² +[tex]\frac{5}{2}[/tex]x -[tex]\frac{3}{2}[/tex]= 0

[x +([tex]\frac{5}{2}[/tex] ÷2)]² -([tex]\frac{5}{2}[/tex] ÷2)² -[tex]\frac{3}{2}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])² -([tex]\frac{5}{4}[/tex])² -[tex]\frac{3}{2}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])²- [tex]\frac{25}{16}[/tex] -[tex]\frac{3}{2}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])² -[tex]\frac{49}{16}[/tex]= 0

(x +[tex]\frac{5}{4}[/tex])²= [tex]\frac{49}{16}[/tex]

x +[tex]\frac{5}{4}[/tex]= [tex]\sqrt{\frac{49}{16} }[/tex]                (square root both sides)

x +[tex]\frac{5}{4}[/tex]= ±[tex]\frac{7}{4}[/tex]

x= -[tex]\frac{5}{4}[/tex] +[tex]\frac{7}{4}[/tex]       or       x= -[tex]\frac{5}{4}[/tex] -[tex]\frac{7}{4}[/tex]

x= [tex]\frac{1}{2}[/tex]             or       x= -3

What is the median of this data set? Enter your answer as a decimal in the box median=​

Answers

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101

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