In your calculator, input arcsin(7/12). Make sure that your calculator is in degree mode. The answer is 35.69 degrees.
Answer:
7 years
Step-by-step explanation:
The depreciation rate of 12% using the declining balance method means the car is worth 12% less at the end of the year than it was worth at the beginning. That is, each year the value is multiplied by (1 -12%) = 0.88. So, after n years, the value has been multiplied by 0.88^n.
We want to find n such that ...
7600 = 18600·0.88^n
7600/18600 = 0.88^n
log(76/186) = n·log(0.88)
log(76/186)/log(0.88) = n ≈ 7.00
It will take 7 years for the value of the car to decline to $7600.
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<em>Comment on declining balance depreciation</em>
Often, you will see declining balance depreciation specified in terms of an acceleration factor (often 150% or 200% ("double declining balance")) and a useful life. As with any depreciation, what is depreciated is the difference between the initial value and the salvage value. The percentage rate quoted above is essentially calculated as ...
(acceleration factor)/(useful life) = depreciation rate per year
One way to get a 12% depreciation rate is using an acceleration factor of 150% and a useful life of 12.5 years (with a salvage value of 0).
Answer:
1. x ≤ -8
2. y < -8
3. y < -11
4. n > 10
5. n ≤ -2
6. n ≤ 15
7. n ≤ -5
Step-by-step explanation:
Your goal is to get just the variable on one side of the inequality!
For example, take -2y - 4 > 18.
Add 4 to both sides. So... -2y - 4 + (4) > 18 + (4)
Now you get -2y > 22. Since y isn't by itself, let's divide both sides by -2.
So, (-2y / -2) > (22 / -2)
<u>Anytime you're dividing something by a negative, remember to FLIP THE SIGNS.</u> So instead of a greater than, it will now be a less than sign <.
Now you get, y < -11
The answer is B, 7.
We can factor a 2 out of this:
We can't factor anything.
We can factor a 4 out of this:
We can factor an 8 out of this:
So your answer is B, 7.
