A vehicle costs £17754 including vat at 20%. What was the price of the vehicle before vat was added

Answer:

4%

Step-by-step explanation:

Step-by-step explanation:

-5x<-10

................

Answer:

The amount of money he should invest in a 1-year deposit is  $3,333.333

The amount of money he should invest in a 2-year deposit is $4,333.333

The amount of money he should invest in a 3-year deposit is $8666.67

Step-by-step explanation:

The given parameters are;

Total investment = $12,000

Total interest = $600

Interest rate = r

Amount invested in a 2-year deposit, B = $1,000 + Amount invested in a 1-year deposit, A

Amount invested in a 3-year deposit, C = $12,000 - (A + B)

C = 12000 - 2·B + 1000 = 13000 - 2·B

∴ A + B + C = $12,000

A×r + 2×r×B + 3×r×C = $600

∴ r×(A + 2·B + 3·C) = $600

r×(12000 + B + 2·C) = $600

B = A + 1000

∴ r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600

r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600

r×(38000 - 3·B) = $600

∴B + 2·C = -3·B

4·B = 2·C

C = 2·B

Hence;

B - 1000 + B + 2·B = $12,000

3·B = 13,000

∴ B = 13000/3 = [tex]\$4,333\tfrac{1}{3}[/tex] = $4,333.333

B = A + 1000

∴ A = B - 1000 = [tex]\$3,333\tfrac{1}{3}[/tex] = $3,333.33

C = 2×B = [tex]\$8,666\tfrac{2}{3}[/tex] = $8666.67

Therefore;

The amount of money he should invest in a 1-year deposit =  $3,333.333

The amount of money he should invest in a 2-year deposit = $4,333.333

The amount of money he should invest in a 3-year deposit = $8666.67.

Answer:

The common ratio is 5

Step-by-step explanation:

To find the ratio, take the second term and divide by the first term

85/17 = 5

To verify take the third term and divide by  the second term

425/85 =5

The common ratio is 5

Answer:

See explanation

Step-by-step explanation:

If you FOIL both of them, you see that they are both correct, but they both need to factor out a 2 and then they will both have the same thing.

2(x - 2)(x + 5)

Answer: To confirm the equations to be equal with the parent function we do as follows:

(2x – 4)(x + 5) = 2x^2 + 10x - 4x - 20 = 2x^2 + 6x -20

(x – 2)(2x + 10) = 2x^2 +10x - 4x -20 = 2x^2 +6x - 20

Step-by-step explanation:  Mark me as brainliest

Answer:

false

Step-by-step explanation:

Based on the information provided we can say that this is false. Since it is a board game and no actual information regarding each players position in the game has been presented, then each player has an equal chance of winning each game. Therefore since there is a total of 3 players the percent chance of winning each game for each player is 33% (100 / 3 = 33)

Answer:

(5,-1) and choice A

Step-by-step explanation:

The first step is to figure out where the two vectors are. Since one goes to (2,-3) and the other goes to (3,2), you already know that the only possible correct answer choices could be A and B, since C and D go to the wrong coordinates. Since the two vectors are originating from the same point and are not build on top of each other, you solve this by averaging them instead of adding head to tail. Using the pythagorean theorem, you know that the length of the new vector will be [tex]\sqrt{(3^2+2^2)+(3^2+2^2)}=\sqrt{26}[/tex]. The side lengths have length 5 and 1, since [tex]5^2+1^2=26[/tex]. Therefore, the coordinates of the new vector are (5,-1). Hope this helps!

Answer:

[tex]\frac{5}{3} \\.3846153846[/tex]

Step-by-step explanation:

Answer:

The probability is 1/26

Step-by-step explanation:

Here, we have two different sample spaces to work with and we want to calculate a compound probability.

Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 9. Thus the probability of selecting a 9 is 4/52 = 1/13

Secondly in a flip of coin the probability of the coin landing on head is 1/2

Thus the probability of selecting a 9 and the coin landing on head = probability of selecting a nine * probability of the coins landing on head= 1/13 * 1/2 = 1/26

Answer:

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 26, \sigma = 3[/tex]

Approximately what percentage of her shots will travel less than 23 feet?

This is the pvalue of Z when X = 23. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{23 - 26}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

Answer:

  5

Step-by-step explanation:

The gradient is the ratio of the change in y to the change in x:

  m = ∆y/∆x = (16 -6)/(2 -0) = 10/2 = 5

The gradient of the line segment is 5.

Step-by-step explanation:

there's the answer I hope you can read

Answer:

82.4

Step-by-step explanation:

Answer:

Yo Send me a pic so i can solve

Step-by-step explanation:

Answer:

18,6,108 on edg 2021

Step-by-step explanation:

Answer:

n^14

Step-by-step explanation:

Simplify. Note that when you have a power on top of a power, you multiply the two powers.

(n^7)^2 = n^(7 * 2) = n^14

n^14 is your answer.

~

Use power rule: (a^b)^c = a^b*c

Solve.

= (n^7)^2

= n^7*2

= n^14

Best of Luck!

Answer:

See the image for answer.

Step-by-step explanation:

I solved this on my calculate. Hope this helps!!!

Answer: √5

2.7 is a rational number because it's a terminating decimal which means that the decimal does end and all terminating decimals are rational numbers.

-3 is a rational number because it's an

integer and all integers are rational.

√4 is rational because it's a perfect square which means that a number can be multiplied by itself to get 4 and that number is 2.

√5 is no rational! It's impossible to find a whole number multiplied by itself to give us 5 which means that it's

non-terminating and non-repeating.

Answer:

65

Step-by-step explanation:

90 degrees - 25 degrees = 65 degrees

Answer: can you explain better? And than I can do this

Step-by-step explanation:

Answer:

The correct option is B,15% tax rate with $375 in taxes owed

Step-by-step explanation:

Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.

The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains

capital gains tax=$2500*15%=$375

Answer: Its C, the rationale is that short-term capital gains are taxed at income tax rate

Step-by-step explanation:

$2500=$550  22%

Plato

Answer:

53 feet

Step-by-step explanation:

if you start with 62 feet and add 39 feet because he went down 62+39 you get 101 then if you subtract 48 because he went up, 101-48 you get 53 feet

Answer:

e) 1, -7

f) 4444, 666666

Step-by-step explanation:

e) has a pattern of taking away 4 from each number after; 13 -4 = 9, 9 - 4 = 5, etc.

f) has a pattern referring to the numbers itself; 1 has one 1. 22 has two 2's, 333 has three 3's, etc

Hope this helps!

Step-by-step explanation:

The only digit that is neither composite nor prime is 1, so the hundreds place is 1. Therefore, the digit in the ones place is twice 1, or 2. The only even prime number is 2, so the digit in the lakhs place is 2. We have 2 options for the tens thousands and tens places, 3 and 1 or 5 and 3 respectively. 7 and 5 does not work because 7 + 5 = 12, and 12 is not a digit. From this, the thousands place could be 4 or 8. Therefore, the number could be 234112 or 258132. Hope this helps!

Answer:234112 or 258132.

Step-by-step explanation:

Answer:

this is a 50 inch television

Answer:

mYZ = 59°

Step-by-step explanation:

If XZ is a diameter is forms a semicircle with it's arc degree half of that of the circle, in other words 180°. That would mean:

m∠ ZAY + m∠ YAX = 180,

( 5w + 4 ) + ( 11w ) = 180,

11w + 5w + 4 = 180,

16w = 176,

w = 11°

Now mYZ is, in other words, m∠ ZAY, so let us solve for m∠ ZAY:

m∠ ZAY = 5w + 4,

m∠ ZAY = 5 * ( 11 ) + 4,

m∠ ZAY = 55 + 4,

m∠ ZAY = 59°,

mYZ = 59°

Answer: 326.73 is the precise answer

The requried curved surface area of the cylinder is approximately 35.927 square centimeters.

To find the curved surface area of a cylinder, we use the formula: C = 2πrh, where C is the circumference, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.

In this case, we are given the circumference C = 4 cm and the height h = 9 cm.

To find the radius, we can use the formula: C = 2πr. Rearranging the formula to solve for r:

r = C / (2π)

Substituting the given values:

r = 4 cm / (2 * 3.14159)

r ≈ 0.6366 cm

Now that we have the radius, we can calculate the curved surface area using the formula:

Curved surface area = 2πrh

Substituting the values:

Curved surface area = 2 * 3.14159 * 0.6366 cm * 9 cm

Curved surface area ≈ 35.927 cm²

Therefore, the curved surface area of the cylinder is approximately 35.9 square centimeters.

Learn more about the surface area here:

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Answer:

Measure of the smallest angle = 35 degrees.

Step-by-step explanation:

As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.

So  the 2 angles can be written as x and 90-x and  we have:

(90 - x) - x = 20

-2x = 20 - 90 = -70

x = 35.

So the 2 angles are 35 and 55 degrees.

In a right triangle measure of the smallest angle is equals to [tex]35[/tex] degrees.

" Angle is defined as when two rays meet at one point ."

According to the question,

In a right triangle,

[tex]'\theta'[/tex] represents the measure of smallest angle

[tex]'90- \theta'[/tex] represents the measure of largest angle.

As per given condition of angle we have,

[tex]90- \theta- \theta = 20\\\\\implies 2\theta = 90 + 20\\\\\implies \theta = \frac{70}{2}\\ \\\implies \theta = 35 degrees[/tex]

Hence, in a right triangle measure of the smallest angle is equals to [tex]35[/tex] degrees.

Learn more about angles here

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Answer:

D

Step-by-step explanation:

To find volume, you have to multiply all the given sides. Therefore, 14 x 5 x 6 = 2,100. (5 x 6=30 x 14=2100)

Answer:

Step-by-step explanation:

Answer:

Area of the figure = Area of rectangle + Area of triangle

You have to extend the 4 cm line to touch the 16 cm line at 90⁰

Area of figure = 10 × 9 + 1/2 × 6 × 7

Area = 90 + 21 = 111 cm²