A new truck costs $32,000. The car’s value will depreciate over time, which means it will lose value. For tax purposes, depreciation is usually calculated linearly. If the truck is worth $24,500 after three years, write an explicit formula for the value of the car after n years.

Answers

Answer 1
Answer:

Answer:

v = -2500*n + 32000

Step-by-step explanation:

Depreciation is usually calculated linearly, means that it follows the following equation (equation of a line):

v = a*n + b

where n is time after truck was new (in years), v is value of the truck (in $), and a and b are some constants.

A new truck costs $32,000, that is, when n = 0, v = 32000. Replacing into the equation:

32000 = a*0 + b

32000 = b

The truck is worth $24,500 after three years , that is, n = 3, v = 24500. Replacing into the equation:

24500 = a*3 + 32000

a*3 = 24500 - 32000

a = -7500/3 = -2500

Answer 2
Answer: 32000 - (32000 * .2552n)

Related Questions

Solve the quadratic function by completing the square. What are the missing pieces in the steps?–32 = 2(x2 + 10x)–32 + = 2(x2 + 10x + 25)18 = 2(x + 5)29 = (x + 5)2± = x + 5x = –2 or x =
35 tens equals how many hundreds
What are the properties of perpendicular bisectors and angle bisectors in a triangle?
Given the equation 1/4(2)^x find the average rate of change between f(2) and f(5)
1. Solve for x.x + 11 = 3-11-11x=- 82. Solve for x.x + 5 = 1125-5*=6)3. Solve for z.2-33 = 40+33 +33(2=–74. Solve for x.- 8x = 56

Three geometric sequences are given below. Sequence A: 160,40,10,2.5,...
Sequence B: -21,63,-189,567,...
Sequence C: 8,12,18,27,....

Order the sequences from least common ratio to the greatest common ratio.

Answers

Answer:

Sequence B, Sequence A, Sequence C

Step-by-step explanation:

Common ratio of a geometric sequence is the ratio of a term and its previous term of the sequence.

Thus, the common ratio of the sequence  A: 160,40,10,2.5,...

r_1=(40)/(160)=(1)/(4)

The common ratio of the sequence B: -21,63,-189,567,...

r_2=(63)/(-21)=-3

The common ratio of the sequence C : 8,12,18,27,....

r_3=(12)/(8)=(3)/(2)

Since, -3 < (1)/(4) < (3)/(2)

Thus,

r_2 < r_1 < r_3

Hence, the order the sequences from least common ratio to the greatest common ratio is,

Sequence B, Sequence A, Sequence C

Answer:

A C B

Step-by-step explanation:

In sequence A. the numbers are being divided by 4.

In sequence B. the numbers are being multiplied by -3

In sequence C. the numbers are being add by 4

So the ratio from least to greatest would be A C B

Mixed ReviewJorge bought a crate of floor ties
for $95.94. The crate had 6 boxes of floor tiles. Each box
1. contained 20 floor tiles. Write and solve an
equation to determine the cost per box, b. Then
write and solve a second equation to determine the cost per tile, t, to the nearest cent.
2. A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and
costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in
dollars, per fluid ounce between the two brands of juice?

Answers

Answers with working:

1.

Cost of a crate of floor tiles = $95.94

The crate has 6 boxes of floor tiles. This means 6 boxes of tiles cost $95.94

Now each box has 20 floor tiles.

So, total tiles in a box are : t=6*20=120 tiles

Now, cost of 6 boxes = $95.94

So, cost of 1 box (b) = b=(95.94)/(6) = $15.99

20 tiles cost $15.99

Hence, 1 tile (t) will cost = (15.99)/(20) = $0.799 ≈ $0.80

2.

Brand A contains 8 fluid ounces and  costs $1.28.

Cost of per fluid ounce = (1.28)/(8) = $0.16

Brand B contains 12 fluid ounces and costs $1.68.

Cost of per ounce = (1.68)/(12) = $0.14

Difference between both the per ounce costs = 0.16-0.14 = $0.02

1. b = $95.94 / 6
       = $15.99

    t = $15.99 / 20
      = $0.80

2. A: $1.28 / 8 = $0.16 per oz
    B: $1.68 / 12 = $0.14 per oz 

    Difference: $0.02 per oz

What is the answer to this? 8x + 25 = 78 10x + 48 = 100 20x + 5 = 100? Plz Help

Answers

1.Subtract the number 25 from both sides then divide by 8. So 53/8
2. Subtract 48 from both sides then divide by 10 So 5.2 or 52/10
3. Subtract 5 divide by 20. So 4.75 or 95/20

2 fractions equivalent to 1/4

Answers

Two fractions equivalent to 1/4 are...

2/8
4/16
6/24

:)
Fractions equivalent to 1/4

2/8
4/16
8/32
100/400

Just take 1/4 and multiply both numbers of your fraction by the same number. Like 1/4 times 2 is 2/8

Sydney says that 4/8 is closer to 0 than to 1. Is she correct?

Answers

No.  When Sydney says that 4/8 is closer to 0 than to 1, she is incorrect.

4/8 is the number that's exactly in the perfect middle between 0 and 1.
It's distance from 0 and its distance from 1 are precisely the same.
when you simplify 4/8 you get 1/2 so it`s the same distance from 0 and 1

List one way a parallelogram and a rhombus are different

Answers

One way for a parallelogram and a rhombus are different is,

In a Rhombus, all the four sides are equal and the diagonals intersect at 90°, whereas in a Parallelogram, the opposite sides are equal and the diagonals bisect each other.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We know that;

In a Rhombus, all the four sides are equal and the diagonals intersect at 90 degrees.

And,  In a Parallelogram, the opposite sides are equal and the diagonals bisect each other.

Hence, we get;

One way for a parallelogram and a rhombus are different is,

''In a Rhombus, all the four sides are equal and the diagonals intersect at 90°, whereas in a Parallelogram, the opposite sides are equal and the diagonals bisect each other.''

Learn more about the rectangle visit:

brainly.com/question/2607596

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a parallelogram every side across from it is paralle and a rhoumbus dosen't have matching sides