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IrinaVladis [17]
3 years ago
14

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciatio

n on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $138000. The company depreciates the bulldozer linearly over its useful life of 23 years. Its salvage value at the end of 23 years is $14950.
Express the value of the bulldozer, V, as a function of how many years old it is, t. Preview The value of the bulldozer after 3 years is $
Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:The value of the bulldozer after 3 years is $121950

Step-by-step explanation:

We would apply the straight line depreciation method. In this method, the value of the asset(bulldozer) is reduced linearly over its useful life until it reaches its salvage value. The formula is expressed as

Annual depreciation expense =

(Cost of the asset - salvage value)/useful life of the asset.

From the given information,

Useful life = 23 years

Salvage value of the bulldozer = $14950

Cost of the new bulldozer is $138000

Therefore

Annual depreciation = (138000 - 14950)/ 23 = $5350

The value of the bulldozer at any point would be V. Therefore

5350 = (138000 - V)/ t

5350t = 138000 - V

V = 138000 - 5350t

The value of the bulldozer after 3 years would be

V = 138000 - 5350×3 = $121950

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Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
2 years ago
What is the solution set of 12x^2-9x=0??
netineya [11]
12x²-9x = 0
3x(4x-3)=0
4x-3=0
4x=3
x=3/4
so either x = 0  or x = 3/4
6 0
3 years ago
What is undefined <br> I need help I don't understand this question
timurjin [86]
(4/9-9) and (4/0) are undefined as you can not divide by the value of 0.
4 0
3 years ago
The curve formed by a quadratic equation is called a _________
alekssr [168]
<span>The curve formed by a quadratic equation is called a PARABOLA</span>
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3 years ago
Help&amp;EXPLAIN <br> ==============
larisa86 [58]

Answer:

A = 108 in.²

Step-by-step explanation:

The figure can be decomposed into 3 rectangles.

✔️Area of rectangle 1 = L*W

L = 8 in.

W = 6 in.

Area = 8*6 = 48 in.²

✔️Area of rectangle 2 = L*W

L = 10 in.

W = 4 in.

Area = 10*4 = 40 in.²

✔️Area of rectangle 3 = L*W

L = 5 in.

W = 4 in.

Area = 5*4 = 20 in.

✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²

8 0
2 years ago
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