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
Sequence B: -21,63,-189,567,...
Sequence C: 8,12,18,27,....
Order the sequences from least common ratio to the greatest common ratio.
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,...
The common ratio of the sequence B: -21,63,-189,567,...
The common ratio of the sequence C : 8,12,18,27,....
Since, -3 < <
Thus,
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
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 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 : tiles
Now, cost of 6 boxes = $95.94
So, cost of 1 box (b) = = $15.99
20 tiles cost $15.99
Hence, 1 tile (t) will cost = = $0.799 ≈ $0.80
2.
Brand A contains 8 fluid ounces and costs $1.28.
Cost of per fluid ounce = = $0.16
Brand B contains 12 fluid ounces and costs $1.68.
Cost of per ounce = = $0.14
Difference between both the per ounce costs = = $0.02
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.
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.''
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