1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Find the volume of the cylinder.
Aneli [31]

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is \pi r^2 h. We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16

The volume of the cylinder is 144π or 452.16 units³.

4 0
2 years ago
4. A triangle with base (2x+2) and height (x-2) is cut out of a rectangular sheet of paper that is (3x+4) by (2x+3) what is the
juin [17]
So what we do is
area that remains=total area-triangle area that was cut out


we need to find 2 things
total area
triangle area

total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12

triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4


so
total area=6x^2+17x+12
triangle area=x^2-4

subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16


area that remains is 5x^2+17x+16

5 0
3 years ago
A construction firm is trying to decide which of two models of a crane to purchase. Model A costs $90,000 and requires $4,000 pe
liraira [26]
Let's say hmm let's use the figures in thousands, so
model A costs 90 + 4 per year, so... ok.. after "t" years, then the cost for model A is then 90 + 4*t, or A = 90 + 4t.

now, model B is 70 + 10 per year, so,... after "t" years, model B is then
B = 70 + 10 * t, or B = 70 + 10t.

if we were to assume A < B, namely the cost of A is less than B, what would the years be? namely, what's "t"?

\bf A\ \textless \ B\implies 90+4t \ \textless \  70 + 10t\implies 90-70 \ \textless \  10t-4t&#10;\\\\\\&#10;20 \ \textless \  6t\implies \cfrac{20}{6}\ \textless \ t\implies \cfrac{10}{3}\ \textless \ t\implies 3\frac{1}{3}\ \textless \ t&#10;\\\\\\&#10;\textit{3 years and }\frac{1}{3}\textit{ or \underline{3 years and 4 months}}

after that period, then A becomes cheaper than B.
8 0
3 years ago
Mr. Ramirez has enough money to fence one of his rose gardens, how many feet of fencing will he need if both gardens have the sa
Irina-Kira [14]
He will need double the amount of what he would need for the one garden.
3 0
3 years ago
drag each expression to the correct location on the graph and equation. not all expressions will be used. complete the given dia
Svetllana [295]

What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:

d^2=(x_2-x_1)^2-(y_2-y_1)^2

Note that the distance between two points is equal to the length of the line segment that joins them.

So now we already have answers for two of the boxes.

The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.

So, the other two boxes should contain:

5 0
1 year ago
Other questions:
  • Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. If Max had $43,000 in sales last month, what wer
    7·2 answers
  • Which one is equivalentform of the compound inequality -33 &gt; -3x - 6 &gt;_ -6?
    7·1 answer
  • In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan
    12·1 answer
  • What is the answer to this equation
    15·1 answer
  • Which of the following equations have no solutions?
    9·2 answers
  • Binomio al cubo <br> (x+2)3​
    14·1 answer
  • Larry can read 12 pages of his book in 2 minutes. If he continues to read at this same
    10·2 answers
  • PLEASE HELP!! <br> Solve for m<br> m+7=3+m+4
    6·1 answer
  • At hms 60% of the students voted in an election if there are 1,500 students how many voted
    11·2 answers
  • I need help with this!​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!