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
rusak2 [61]
3 years ago
14

In 2010, National Textile installed a new textile machine in one of its factories at a cost of $200,000. The machine is deprecia

ted linearly over 10 years with a scrap value of $10,000.
(a) Find an expression for the textile machine's book value in the t th year of use
(0 ≤ t ≤ 10).
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

V(t)=-19,000t+200,000

Step-by-step explanation:

Let V(t) be the value of machine after t years and t represents the number of years after 2010.

We are given the value in the beginning as 200,000. We are also given scrap value (value at the end of period) as 10,000.

So we need to find a linear function with points (0, 200000) and (10,10000)

Let us find slope of our line using our given points.

m=\frac{10,000-200,000}{10-0}

m=\frac{-190,000}{10}

m=-19,000

Since we know that the slope-intercept form of equation is in form: y=mx+b, where,

m = Slope of line,  

b = The y-intercept or initial value.

We can see that initial value of machine is $200,000, so substituting m=-19,000 and b = 200,000, we will get our equation as:

V(t)=-19,000t+200,000

Therefore, the equation V(t)=-19,000t+200,000 represents the the textile machine's book value in the th year of use.



You might be interested in
Two angles are supplementary. One is 56° more than three times three times the other. Find the measures of the angles.
kaheart [24]
Supplementary means they equal 180 when added. Therefore:

X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31

Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149

The larger angle is 149 degrees.

I hope this Helps!
8 0
3 years ago
The center of a circle is at the onigin on a coordinate grd. The vertex of a parabola that opens upward is at (0, 9). If the
kenny6666 [7]
I think it’s the maximum number of solutions is one
4 0
2 years ago
If their is 300 unicorns and 200 dragons and 50 dragons fly away then 30 unicorns walk away how many are of each left?
Lilit [14]

Answer:

If 30 unicorns out of 300 walk away then it will be 300-30=270 unicorns left.

If 50 dragons fly away out of 200 then it will be 200-50=150.

Therefore there are 270 unicorns and 150 dragons left.

I hope this helps you...Thank you...

7 0
2 years ago
A rotating sprinkler waters the lawn outside the lodge at Oak Tree State Park. The sprinkler rotates in a full circular path and
ki77a [65]

Answer:

it is 7squere meters

Step-by-step explanation:

7 0
3 years ago
Please help me on this ​
Sveta_85 [38]

Answer:

14.125

Step-by-step explanation:

You combine the two equations and get

8x - 23

and since they're in a 90 degree angle you do

8x - 23 = 90

 add 23 to both sides

8x =113

divide 113 by 8 and you get 14.125 and if you plug it in for both x's you get 24.625 + 65.375 you get an even 90

3 0
3 years ago
Other questions:
  • The ratio opposite​/adjacent describes which function?
    11·1 answer
  • Rewrite the function translated left 2 and up 4.
    14·1 answer
  • A pack of Original Starbursts contains four colors/flavors: red (cherry), orange (orange), yellow (lemon), and pink (strawberry)
    9·1 answer
  • Juanita is planting a flower garden. She wants to plant 24 tulips, and twice as many daffodils as tulips. A tulip plant costs $3
    7·1 answer
  • the ratio of the number of hair bands to the number of ribbons in different gift boxes is 7: 4 which table best shows the number
    13·2 answers
  • Can someone give me the answer to this please? :)
    5·2 answers
  • The length of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths o
    10·1 answer
  • Steve and Bill had a very successful day fishing for speckled trout. Together they caught 46 trout in one morning. Steve was pro
    11·1 answer
  • Simplify (a+3)-2(4+a)+5a_4<br>​
    12·1 answer
  • What is the additive inverse of the number given below?<br> 6
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!