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).
The number for 5.71 ×10^-3 is .00571
Answer:
19 is the square root of 361.
The z-score is the number of standard deviations away from the mean that a data point is. To find the value of z for which 0.9426 of values are within z deviations of the mean, this means that (1 - 0.9426) = 0.0584 are beyond this interval, and this would be divided by 2: 0.0584 / 2 = 0.0292 of values are located below -z, while another 0.0292 is above +z.
Based on z-tables, this occurs at around z = 1.89, so the interval is from -1.89 to 1.89.
Answer:
8
Step-by-step explanation:
det b=(-3x2)-(-2x7)
=-6--14
=-6+14
=8
