Answer:
Alma got home at 3:27
Step-by-step explanation:
2:45+30 min=3:15
3:15+12 min = 3:27
Balance sheet equation states that:
Assets, A = Liabilities, L + Equity, E => A=L+E
In the current case,
L = Long term debt + Current liabilities = $8,675+$1,865 = $10,540
E = $14,865
Therefore,
A = 14,865 +10,540 = $25,405
Now,
Current assets (excluding cash) = current liabilities+Net working capital, other than cash = $1,865+$2,315 = $4,180
Additionally,
A = Fixed assets+Current assets (excluding cash) + Cash
Therefore,
Cash = 25,405-20,660-4,180 = $565
1. Mean is the number you get when you add all these numbers and then divide by the number of numbers. So, (31 + 28 + 30 + 31 + 30) / 5 = 150 / 5 = 30
2. The median is the middle number in the list of numbers, so, the answer is 30 as well.
3. Mode is the number that appears most often, so here it is 30 and 31 because they both appear 2 times.
4. Range is the difference between the largest and smallest number, so 31 - 28 = 3.
After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.
<h3>What is parabola?</h3>
Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.
General equation of the quadratic equation,
Y = ax² + bx +c
Given points,
(-2, 0),
(-1, -10),
(4, 0).
Putting the points in the general equation,
Putting (-2, 0), we get
0 = 4a - 2b + c
Putting (-1, -10), we get
-10 = a - b +c
Putting (4, 0), we get
0 = 16a + 4b +c
Solving all equations we get,
a = 2 , b = -4 , c = -16
After putting the values,
Y = 2x²- 4x- 16
2(x² - 2x - 8)
2(x²- 2x + 1 - 1 - 16)
=2(x - 1)²-34
Hence we get the required equation in the parabolic form.
To know more about parabola, visit :
brainly.com/question/21685473
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