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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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What is the ratio of seats to wheels in a group of tricycles?
Morgarella [4.7K]
Each tricycle has 3 wheels and one seat, so the ratio of seats to wheels is 1:3
4 0
3 years ago
The legs of an isosceles triangle measure ( 2 x^4 + 2 x − 1 ) units each. The perimeter of the triangle is ( 5 x^4 − 2 x^3 + x −
nirvana33 [79]

Answer:

The base is x^4 -2x^3 -3x-1

Step-by-step explanation:

We know the perimeter of a triangle is the sum of the three sides

P = s1+s2+s3

We know the perimeter is  5 x^4 − 2 x^3 + x − 3

and two of the legs are 2 x^4 + 2 x − 1  since it is an isosceles triangle

P = 2s1 + s3

Subtract 2s1 from each side

P-2s1 =2s1 +s3 -2S1

P -2s1 =s3

Substituting what we know

5 x^4 − 2 x^3 + x − 3 - 2(2 x^4 + 2 x − 1) = s3

Distribute the -2

5 x^4 − 2 x^3 + x − 3 - 4 x^4 -4 x + 2 = s3

Combine like terms

5 x^4-4x^4 − 2 x^3 + x  -4 x -3+ 2 = s3

x^4 -2x^3 -3x-1 =s3

The base is x^4 -2x^3 -3x-1

5 0
3 years ago
Consider the system of linear equations -4x+2y=4 ​ and 4x-y=-6 Which is different
Serjik [45]

Answer:

x= -2, y = -2

Step-by-step explanation:

Solve the following system:

{2 y - 4 x = 4 | (equation 1)

{4 x - y = -6 | (equation 2)

Add equation 1 to equation 2:

{-(4 x) + 2 y = 4 | (equation 1)

{0 x+y = -2 | (equation 2)

Divide equation 1 by 2:

{-(2 x) + y = 2 | (equation 1)

{0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{-(2 x)+0 y = 4 | (equation 1)

{0 x+y = -2 | (equation 2)

Divide equation 1 by -2:

{x+0 y = -2 | (equation 1)

{0 x+y = -2 | (equation 2)

Collect results:

Answer:  {x = -2 , y = -2

8 0
3 years ago
8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer)
Bumek [7]

Answer:

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age =x+6

As the sum of their ages is no more than 28 years,

x+(x+6)\leq 28\\2x+6\leq 28\\2x\leq 28-6\\2x\leq 22\\x\leq \frac{22}{2}\\ x\leq 11

So, the oldest age of Olivia’s sister can be 11 years.

5 0
4 years ago
I don’t know how to do it
Marina86 [1]

Answer:

option D

Step-by-step explanation:

3 0
3 years ago
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