1 of 10
Colin buys a tv for £810.
It depreciates at a rate of 3% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
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Answer:

w^2(x+8)+z(x+8)= (w^2+z)(x+8)

Step-by-step explanation:

This question uses concepts from grouping. Since the second term (x+8) is a common term on the left side of the equation, we can pull it out. This would leave (w^2+z) left.

Answer:

you can solve like this i think it is correct but i am not sure

Answer:

253.5π

Step-by-step explanation:

Surface area of cylinder: 2πrh+2πr^2

Height: 13, Radius: 6.5

A = 2π6.5(13)+2π6.5^2

A = 169π + 84.5π

A = 253.5π

Answer:

4 days in total

Step-by-step explanation:

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

Answer:

7kx-5kx=6

2kx=6

x=3/k

Step-by-step explanation:

ur welcome my guy

Answer:

The answer is 3/k .

Step-by-step explanation:

First you have to move all the related terms to one side :

[tex]5kx + 6 = 7kx[/tex]

[tex]6 = 7kx - 5kx[/tex]

[tex]2kx = 6[/tex]

Next, you have to solve it :

[tex]x = 6 \div 2k[/tex]

[tex]x = 3 \div k[/tex]

[tex]x = \frac{3}{k} [/tex]

Answer:

452.7

Step-by-step explanation:

Answer:

452.7

Step-by-step explanation:

hope this helps

<3

Answer:

A. [tex]\frac{3}{4} = \frac{21}{28}[/tex]

Step-by-step explanation:

[tex]\frac{21}{28}[/tex] ÷ [tex]\frac{7}{7} = \frac{3}{4}[/tex]

21 ÷ 7 = 3

28 ÷ 7 = 4

Answer:

53

Step-by-step explanation:

Left triangle: Missing angle 40. 80+60=140, 180-140=40.

40+49=89

180-89=91

91+36=127

180-127=53

Answer:

? = 53°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

The measure of the third angle of the triangle on the left is

third angle = 180° - (60 + 80)° = 180° - 140° = 40°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

40° + 49° = 89° is an external angle of the triangle on the right, thus

? + 36 = 89 ( subtract 36 from both sides )

? = 53°

Answer:

The coefficient is 5

Step-by-step explanation:

A number on its own is called a Constant. A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient) Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)

please mark brainliest!

Answer: 90 yards

Step-by-step explanation: Let me know if you need an explanation.

Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right

Answer:

Step-by-step explanation:

When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.

If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.

Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.

According to the diagram,  side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR

PR' = 4 * PR

PR' = 4*3

PR' = 12units

Answer:

1. B

2. A

Step-by-step explanation:

1. Here, the figure is reflected over the line depicted. This answer is correct.

2. Here the image shifts down and across, making it a glide.

Answer:

x = - 9, x = 10

Step-by-step explanation:

Given

x² - x - 90 = 0

Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)

The factors are - 10 and + 9, since

- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus

(x - 10)(x + 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 9 = 0 ⇒ x = - 9

lesser x = - 9

greater x = 10

Answer:

The height of the pyramid is 92.67 inches

Step-by-step explanation:

Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.

Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.

Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.

With the hypotenuse being the slant height s,

s^2 = r^2 + h^2

but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches

93.5^2 = 12.4^2 + h^2

h^2 = 93.5^2 - 12.4^2

h^2 = 8742.25 - 153.76

h^2 = 8,588.49

h = √(8,588.49)

h = 92.67 inches

Answer:

The answer is A

Step-by-step explanation:

Answer:

The normal heart rate of the bear is 50 bpm

Step-by-step explanation:

20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.

So we can write the equation:

[tex]0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50[/tex]

Answer:

6

Step-by-step explanation:

3/4=6/8

1/8x=6/8

x=6

Answer:

=14s4−7s2+15

Step-by-step explanation:

Steps:

1: Distribute the Negative Sign

=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)

=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

2: Combine Like Terms

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)

=14s4+−7s2+15

Answer: =14s4−7s2+15

Hope this helps.

Answer:

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

Answer: Bladder

Step-by-step explanation:

The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.

Answer:

[tex]x=-14[/tex]

Step-by-step explanation:

[tex]\frac{x+7-8x}{3}=-\frac{5x}{2}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\left(x+7-8x\right)\cdot \:2=-3\cdot \:5x\\Simplify\\2\left(-7x+7\right)=-15x\\\mathrm{Expand\:}2\left(-7x+7\right):\quad -14x+14\\2\left(-7x+7\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=-7x,\:c=7\\=2\left(-7x\right)+2\cdot \:7\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a\\=-2\cdot \:7x+2\cdot \:7[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:7=14\\=-14x+14\\-14x+14=-15x\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\-14x+14-14=-15x-14\\\mathrm{Simplify}\\-14x=-15x-14\\\mathrm{Add\:}15x\mathrm{\:to\:both\:sides}\\-14x+15x=-15x-14+15x\\\mathrm{Simplify}\\x=-14[/tex]

Answer:

Ground seats = 450 people

Balcony seats= 132 people

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)

15 b +10 g =6480

The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).

b+g = 582

Multiplying the second equation by 10, and subtracting it to the first equation:

15 b +10 g =6480

-

10b+10g = 5820

__________

5b =660

Solving for b

b = 660/5 = 132

Substituting b=132 in the second equation:

132+g = 582

g= 582-132

g= 450

Answer:

1. rational number

2. a positive rational number

Step-by-step explanation:

A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.

The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.

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1) A rational number.

If you think about it, multiplying two fractions would produce another fraction. An irrational number can't be expressed as a fraction. Thus, multiplying two nationals would produce a rational number.

2) A positive rational number

Let's look at an example

3/4

The reciprocal would be 4/3.

If it is already a positive rational number, turning it upside down wouldn't affect the status of it.

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Answer:

There are 8 number of hairy dogs.

Step-by-step explanation:

It is given that:

Number of small dogs (Let it be [tex]n(A)[/tex]) = 9

To find:

Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?

Also given the following things:

Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15

Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2

We can use the following formula:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.

Putting the values in above formula:

[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]

Hence, the number of hairy dogs are 8.

Answer:

ooga booga ooga booga ooga booga ooga booga

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

Answer:

b>=3

Step-by-step explanation:

Answer:

Maybe for you....

Step-by-step explanation:

;'(

wow good for you i still need to do my last studysync lol

:(

Answer: On a coordinate plane, a line crosses the y-axis at (0,0)

Step-by-step explanation:

A proportional relationship has the form:

y = k*x

where k is the constant of proportionality.

only from looking at this we can conclude:

This is a linear equation.

The slope is k.

The y-intercept is equal to zero.

For example, if we have x = 0 then:

y = k*0 = 0

then this line passes through the point (0,0)

then the correct option is:

"On a coordinate plane, a line crosses the y-axis at (0,0)"

Answer:

D

Step-by-step explanation:

Answer:

C 38 miles

Step-by-step explanation:

to figure out how long is 1 round of the circle we will find circumfrence of circle. C = 2 * π * R. So the r = 1/2 of the diameter which is going to be 1.5 miles. so we multiply 2 by π by 1.5 which gives us an answer of 9.4 something Then times it by four to get ur final answer which is going to be 38 miles after rounding.