All categories

3 years ago

MARK BRAINLIEST

Mathematics

1 answer:

yawa3891 [41]3 years ago

7 0

Answer:

The original price was $36,000.

It depreciates by $2,400 each year.

It’ll take 15 years for it to fully depreciate to zero

Step-by-step explanation:

To get how much the original price was, you replace x with 0 in the equation y=-2,400x+36,000 since it is 0 years at that time. When you do that, you get 36,000. It declines by $2,400 each year because the coefficient is 2,400x. To get the last part, you have to divide 36,000 by 2,400 and then you get 15.

You might be interested in

Find an angle between 0 degrees and 360 degrees that is coterminal with 950 degrees

QveST [7]

Answer:

40 degrees

Step-by-step explanation:

(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).

-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:

-1400 degrees+(360 degrees*4)

=-1400 degrees+1440

=40 degrees

so the answer is 40 degrees

5 0

2 years ago

Find the value of x and y in the following figure where ABCD is a parallelogram<br><br>

asambeis [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

5 0

3 years ago

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

2 years ago

mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and

Evgesh-ka [11]

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

5 0

2 years ago

Carlos owns an orchard. His apple trees produced 315 bushels of apples. Each bushel of apples weighs about 48 pounds. There are

Anna71 [15]

If
1 bushel = 48 pounds
and 1 pound = 3 apples
48 pounds = x apples cross multiply
x apples = 48 X 3 ==> 144 apples
1 bushel = 144 apples (because 48 pounds = 1 bushel)
315 bushel = x apples
x apples = 144 X 315
x = 45360 apples

3 0

2 years ago