Answer:
2sin((1)x + 135)-3
Step-by-step explanation:
Asin(Bx+C)+D
A = amplitude = distance from top to bottom divided by 2
y value of top = -1
y value of bottom = -5
distance from top to bottom = -1 - (-5) = 4
divide by 2 to get 4/2 = 2 as our amplitude
2π/B = period
in this case, we're working in degrees for our x axis - 2π = 360°
thus, 360°/B = period
period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case
thus, 360°/B = 360°
divide both sides by 360° and multiply both sides by B to isolate B
360/360 = B = 1
phase shift = -C/B
phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave
thus,
-135 degrees = -C/B
B = 1
-135 degrees = -C
C = 135 degrees
D = vertical shift
the center is now at y = -3. normally, the center is at y = 0. thus, D = -3
our formula is thus
2sin((1)x + 135)-3
Answer:
there are 8 possible outcomes if that is what the question is.
otherwise the answer is 6 because 2 times 3 is 6
Answer _
It is perpendicular to the equation y=15x-3.
Answer: 5,15,20,25,45
Step-by-step explanation:
1st is 20, 2nd is 25, 3rd is 15, 4th is 45, 5th is 5
Answer:
a. The value depreciation for the first year is $28000.
b. There will be a loss of sale of the equipment by $6000.
Step-by-step explanation:
Equipment was purchased at the beginning at a cost of $465,000.
Now, the price of the equipment depreciates in a linear manner i.e. depreciates equally every year.
The price of the equipment is depreciated to $45000 after 15 years of its estimated useful life.
So, the per year depreciation of value of the equipment will be dollars per year.
a. The value depreciation for the first year is $28000. (Answer)
b. The depreciated value of the equipment after 8 years will be $[465000 - (28000 × 8)] = $241000.
If the equipment was sold for $235000 at the end of the eighth year, then there will be a loss by $(241000 - 235000) = $6000. (Answer)