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Novay_Z [31]
3 years ago
12

A school district purchases a high-volume printer, copier, and scanner for $27,000. After 10 years, the equipment will have to b

e replaced. Its value at that time is expected to be $2000. Write a linear equation giving the value V of the equipment during the 10 years it will be in use. (Let t be the number of years after purchase.)
Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

V = 27000 - 2500t

Step-by-step explanation:

Let the linear equation that represents the value of the equipment after t years,

V = a - bt

Since, the original value of the equipment is $27,000,

That is, if t = 0, V = 27,000

27,000 = a - b(0)

⇒ a = 27,000

If t = 10, V = 2,000

2000 = a - 10b

2000 = 27,000 - 10b

10b = 25000

⇒ b = 2,500

Hence, the linear function that shows the value of the equipment after t years,

V = 27000 - 2500t

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The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
romanna [79]

Answer:

Perimeter is irrational

<em></em>

Step-by-step explanation:

<em>The attachment is missing but the question is still answerable</em>

Given

Area = 24200 yd^2

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

Area = Length * Length

Substitute Area = 24200 yd^2

24200 = Length * Length

24200 = Length^2

Take Square root of both sides

\sqrt{24200} = Length

Length = 155.563492

The perimeter of a square is calculated as:

Perimeter = 4 * Length

Perimeter = 4 * 155.563492

Perimeter = 622.253968

<em>Because the value of </em><em>perimeter </em><em>can't be gotten by dividing two integers, then </em><em>perimeter is irrational</em>

4 0
3 years ago
You might need: Calculator Problem Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while
Ksenya-84 [330]

Zane climb up in 33 seconds

44•33 = 1452 m.

so, Zane start from 1313 + 1452 = 2765 m below the edge.

to reach the edge with constant speed, Zane need 2765/44 = 62.84 seconds

we can round it to 63 seconds

7 0
2 years ago
Read 2 more answers
The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
maks197457 [2]
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
5 0
2 years ago
Need help with this.
skelet666 [1.2K]

Answer:

-5/2(3x+4)<6-3x (multiply with -5/2)

-15/2x-10<6-3x (multiply with 2)

-15x-20<12-6x (change sides)

-15x+6x<12+20

-9x<12+20

-9x<32

x>-32/9

Hope this will help u :)

3 0
3 years ago
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