ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.



Which expression shows the value of the car in x years.


y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power

y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power

y=45,000(1.07)^xy=45,000( 1.0 7^x)

y=45,000(1.7)^x

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

1/2 of the class

give brainliest if it helps

(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Given the rule of transformation:

(x, y) → (x+2, y+3)

If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.

In other words,

(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+2, y+3)

A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)

Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).

Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

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Answer:

$745,460.8

Step-by-step explanation:

2.8/100 × 3827 = $107.16

monthly = 1/12

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 107.16}{2.8 \times \frac{1}{12} } = \frac{10716}{0.23} \\ = 46591.3[/tex]

$46,591.3 in 1year

16 years; $46,591.3 × 16 = $745,460.8

Answer:

Answer vary :

2.95(21 times 39) = $2,416.05

Step-by-step explanation:

honestly in my opinion that the answer. so we’re trying to find out how much money the school will earn.

if each seat cost 2.95 we need to find out how many seats are their?

-21 times 39 = 819

we multiplied the rows and seats find out how many seats their are and the answer is 819.

after you do that now we have to find out how much money they will earn from selling all 819 seats.

-819 times 2.95 = 2,416.05

we then multiplie all of the seats wich is 819 seats by 2.95 wich is the cost of one seat and got 2,416.05, and that’s the answer we’ve been looking for.

and that’s how I got my answer.

The total money school will get is £2416.05 on a play.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A ticket for a seat at a school play costs £2.95

There are 21 rows of seats.

There are 39 seats in each row.

That means,

there are total 21 x 39 =  819 seats.

So, the total money the school will get,

= 819 x £2.95

= £2416.05

Therefore, school makes £2416.05 on a play.

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Answer:

x = -3

Step-by-step explanation:

2x-x=-5+2

x = -3

Answer:

its 2.4

Step-by-step explanation:

Answer:

products - -3x and 6x^2

factors - 8 and 2x

Step-by-step explanation:

Answer:

-8x would go in the box above -16x and -8 would go in the other box

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Answer:

The slope is 0, or it is a zero slope.

Step-by-step explanation:

The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

3x+7-x-13

3x-6-x

=2x

pls mark brilliance if im right

Answer:

160=b  

      14

b: 2240

Answer:

b= 2240

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

then you simplify

hope this helps!

Answer:

55

Step-by-step explanation:

g(-4)=-20-5 or -25

f(g(4)=-2(-25)+5 or 50+5

Answer:

4:5

Step-by-step explanation:

You are doing ratios

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer:

(0,4)

Step-by-step explanation:The y intercept is where the line passes through the y-axis.

Answer:

75

Step-by-step explanation:

Answer:

11.6

Step-by-step explanation:

The length of f of the triangle is f = 11.7 cm

The Law of Cosines is a mathematical formula used to find an unknown side or angle of a triangle, given the lengths of the other two sides and the angle opposite the unknown side. It is also known as the Cosine Rule.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the following equation is true:

c² = a² + b² - 2ab cos(C)

where cos(C) is the cosine of angle C. This formula can be rearranged to solve for any of the variables, depending on which values are known.

Given data ,

Let the triangle be represented as ΔEFG

And , the measures of the sides of the triangle are

g = 4.3 cm

e = 9.1 cm

And , measure of angle ∠F = 116°

where c² = a² + b² - 2ab cos(C)

On simplifying , we get

a² = c² - b² + 2abcos ( C )

78.26 ( cos 116° ) - 4.3² - 9.1² = f²

f² = 135.7344

Taking square roots on both sides , we get

f = 11.7 cm

Hence , the length is f = 11.7 cm

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Answer:

w=[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

2(2w+8)+2w=96

Distribute the 2.

4w+16+2w=96

Combine like terms.

6w+16=96

Subtract 16

6w=80

Divide 80 by 6.

w= 13.333333 or [tex]\frac{40}{3}[/tex]

Answer:

Ali 25

Beth 15

Clare 32

Step-by-step explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

volume

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

theres no weight refered, no length and ratio i dont know cause im not english but i think its A

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6