Colin buys a car for £42800.
It depreciates at a rate of 5% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.

Answer:

3 x 2 − 2 x + 4 = 2 x 2 − 4

Step-by-step explanation:

Write the problem as a mathematical expression.

3 x 2 − 2 x + 4 = 2 x 2 − 4

Subtract  2 x 2 − 4  from both sides of the equation.

3 x 2 − 2 x + 4 − 2 x 2 − 4 = 0

Simplify each term.

Subtract  4  from  2 . 3 x 2 − 2 x + 4 − 2 x − 2 = 0

Rewrite the expression using the negative exponent rule  

b − n =1 b n . 3 x 2 − 2 x + 4 − 2 1 x 2 = 0

Combine  − 2  and  1 x 2 . 3 x 2 − 2 x + 4 + − 2 x 2 = 0

Move the negative in front of the fraction.

3 x 2 − 2 x + 4 − 2 x 2 = 0

Answer:

6 root 2 is the answer...

or, 8.485

Answer:

1:2

Step-by-step explanation:

1:14/7

now I am divide

1:2

Answer:

(8, 2 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 16 → (1)

- x + 3y = - 2 → (2)

Adding the 2 equations term by term will eliminate the x- term

0 + 7y = 14

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(2) = 16

x + 8 = 16 ( subtract 8 from both sides )

x = 8

solution is (8, 2 )

Answer:(8,2)

Step-by-step explanation:

The first circle doesn't belong to the other three as it has a radius in it whereas the other circles have a diameter.

Circle 4 is different from other other Circles.

The radius of a circle is the distance from the center of the circle to any point on its circumference. The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circumference.

1. In Circle 1, the radius is 6 inch

So, Diameter= 6 x 2= 12 inch

2. In Circle 2, the diameter is 1 feet

Diameter = 1 feet = 12 inch

3. In Circle 3, the diameter is 12 inch

4. In Circle 4, the diameter is 6 inch.

Since, Circle 1, 2 and 3 have the diameter 12 inch but the Circle 4 have the diameter 6 ich.

Thus, Circle 4 is different from other other Circles.

Learn more about Radius and Diameter here:

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#SPJ2

Answer:

72 hours

Step-by-step explanation:

Because if he bikes 54 then he will need to do 8 x 9 = 72 because if he biked 54 hours then he did 6 x 9 = 54 so the answer is 72 hours (u multiply by 9) hope this helps

Answer:

5ft 3in

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

Given that:

Number of samples, n = 5

Proportion, p = 80% = 0.8

P(x = 2)

Using binomial distribution formula ;

P(X = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.8^2 * (1 - 0.8)^(5-2)

P(x = 2) = 5C2 * 0.8^2 * 0.2^3

P(x = 2) = 10 * 0.64 * 0.008

P(x = 2) = 0.0512

= 0.05 ( nearest hundredth)

Answer:

x = 51°

Step-by-step explanation:

In a rhombus, the diagonals bisect the angles, thus

∠ BAE = ∠ DAE = 39° , then ∠ A = 78°

∠ ADE = ∠ CDE = x , then ∠ D = 2x

In a rhombus, consecutive angles are supplementary

∠ A and ∠ D are consecutive angles , thus

78 + 2x = 180 ( subtract 78 from both sides )

2x = 102 ( divide both sides by 2 )

x = 51°

Answer:

X=51

Step-by-step explanation:

tell your teacher if they know the anwser and if they look on there paper for the anwser tell them they need to learn with us or get a new job

Answer:

a. (x – 2)2 + y2 = 4

Step-by-step explanation:

edge 2021

The rectangular form of [tex]\mathbf{r = 4cos(\theta)}[/tex] is (a) [tex]\mathbf{(x - 2)^2 + y^2= 4}[/tex]

The polar coordinate is given as:

[tex]\mathbf{r = 4cos(\theta)}[/tex]

Multiply both sides of [tex]\mathbf{r = 4cos(\theta)}[/tex] by r

[tex]\mathbf{r \times r= 4cos(\theta) \times r}[/tex]

Evaluate

[tex]\mathbf{r^2= 4rcos(\theta) }[/tex]

As a general equation, we have:

[tex]\mathbf{x^2 + y^2 = r^2}[/tex]

Substitute [tex]\mathbf{x^2 + y^2 = r^2}[/tex] in [tex]\mathbf{r^2= 4rcos(\theta) }[/tex]

[tex]\mathbf{x^2 + y^2= 4rcos(\theta) }[/tex]

Also as a general equation, we have:

[tex]\mathbf{x = rcos(\theta)}[/tex]

So, [tex]\mathbf{x^2 + y^2= 4rcos(\theta) }[/tex] becomes

[tex]\mathbf{x^2 + y^2= 4x}[/tex]

Subtract 4x from both sides

[tex]\mathbf{x^2-4x + y^2= 0}[/tex]

Complete the square on x^2 - 4x

[tex]\mathbf{(x - 2)^2-2 + y^2= 0 + 2}[/tex]

Add 2 to both sides

[tex]\mathbf{(x - 2)^2 + y^2= 0 + 2+2}[/tex]

[tex]\mathbf{(x - 2)^2 + y^2= 4}[/tex]

Hence, the rectangular form of [tex]\mathbf{r = 4cos(\theta)}[/tex] is (a) [tex]\mathbf{(x - 2)^2 + y^2= 4}[/tex]

Read more about rectangular forms at:

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Answer:

(-4 , 8)

Step-by-step explanation:

The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.

Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.

In this case, reflect across the x-axis. Flip the sign of the y: (x , y)

(-4 , -8) reflected over the x-axis is (-4 , 8).

~

Answer:

4/7

Step-by-step explanation:

hand over the branliest bub

Answer:

x = 10

Step-by-step explanation:

[tex]6(x - 1) = 9(x - 4)[/tex]

➡️ [tex]6x - 6 = 9x - 36[/tex]

➡️ [tex]6x - 9x = - 36 + 6[/tex]

➡️ [tex] - 3x = - 30[/tex]

➡️ [tex]x = 10[/tex] ✅

Answer: One

Step-by-step explanation: hard

Answer:

See below

Step-by-step explanation:

It is 30°x60° right triangle

It has sides a against 30° angle, √3a against 60° angle and 2a hypotenuse

*see attachement for diagram

Answer:

HG = 25.6

Step-by-step explanation:

Given:

DE = 16x - 3

EF = 9x + 11

DF = 52

Required:

HG

SOLUTION:

✔️First, find the value of x

Thus, since DE is congruent to EF, therefore:

16x - 3 = 9x + 11

Collect like terms

16x - 9x = 3 + 11

7x = 14

Divide both sides by 7

x = 2

✔️Find EH:

Since diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.

Thus, we would use pythagorean theorem to find EH

EH² = EF² - HF²

EF = 9x + 11

Plug in the value of x

EF = 9(2) + 11 = 18 + 11

EF = 29

HF = 52/2 = 26 (diagonals bisect each other)

EH² = 29² - 26² = 165

EH = √165

EH = 12.8 (nearest tenth)

✔️Find HG:

HG = 2(EH)  (diagonals bisect each other)

HG = 2(12.8)

HG = 25.6

The measure of HG is 25.6

For a square, all the sides of the square are equal

Given the following information

First, find the value of x

Since DE is congruent to EF, therefore:  

16x - 3 = 9x + 11

Collect like terms  

16x - 9x = 3 + 11

7x = 14

x = 2

Find the measure of EH:

Since the diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.

Thus, we would use Pythagorean theorem to find EH  

EH² = EF² - HF²

EF = 9x + 11

Plug in the value of x  

EF = 9(2) + 11 = 18 + 11

EF = 29

HF = 52/2 = 26 (diagonals bisect each other)

EH² = 29² - 26² = 165

EH = √165

EH = 12.8 (nearest tenth)

Find the measure of HG:  

HG = 2(EH)  (diagonals bisect each other)

HG = 2(12.8)

HG = 25.6

Hence the measure of HG is 25.6

Learn more on squares here: https://brainly.com/question/24673551

Answer:

Disagree

Step-by-step explanation:

disagree. dividing by 9 is the same as multiplying by 1/9. we can look at the equation y = x/9 as y = 1/9x. also, y/x = 1/9 is constant for all corresponding values of x and y

Answer:

Where is the picture?????

Answer:

I believe it is D.

Step-by-step explanation:

The associative property switches around the order of the digits to make the problem easier. In my opinion it is easiest to multiply the fractions together, and then the whole number.

Answer:

2.89-oz of shampoo

Step-by-step explanation:

8.5% of a 34-oz

= 8.5/100 x 34-oz

= 0.085 x 34-oz

= 2.89-oz

Answer: −7g+2

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

That's the right answer.

Step-by-step explanation:

2x+3=3x

Subtract 2x from both sides

3=x or x=3

Answer:

c

Step-by-step explanation:

Answer:

(6, - 9 )

Step-by-step explanation:

Given the 2 equations

6x + 2y = 18 → (1)

- 4x - 2y = - 6 → (2)

Adding the 2 equations term by term will eliminate the y- term, that is

2x + 0 = 12

2x = 12 ( divide both sides by 2 )

x = 6

Substitute x = 6 into either of the 2 equationsand solve for y

Substituting into (1)

6(6) + 2y = 18

36 + 2y = 18 ( subtract 36 from both sides )

2y = - 18 ( divide both sides by 2 )

y = - 9

solution is (6, - 9 )

Answer:

[tex](4^{-2})^5=\dfrac{1}{4^{10}}[/tex]

Step-by-step explanation:

The given expression is : [tex](4^{-2})^5[/tex]

We need to simplify the above expression.

We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]

or

[tex](4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}[/tex]

So, the simplified form of the given expression is [tex]\dfrac{1}{4^{10}}[/tex]. Hence, the correct option is (A).

Answer:

The answer is a 1/4^ 10.

Step-by-step explanation:

Answer:

I do....n't. I dont.

Step-by-step explanation:

To calm your anger take a meme. Consider it...a bribe.

Answer:

Yes

Step-by-step explanation:

my username is h2oman56

Answer:

The initial cost of the cell phone was $364

Step-by-step explanation:

Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364