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.
_____
<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).
Given:
At the store a cell phone cost 1.1 times as much as it sells online.
The cost of it is $888.98 online.
To find:
How much more does it cost from the store?
Solution:
It is given that,
Cost of a cell phone online = $888.98
At the store a cell phone cost 1.1 times as much as it sells online. So, cost of the cell phone at store is
The cost of cell phone at store is $977.878
.
The difference between the cost of cell phone at store and online is
Therefore, the cell phone cost is $88.898 much more at the store.
Answer:
B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
Step-by-step explanation:
Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth
If K=C+273.15
and in a. C=200° then K=200+273.15
Answer:
x = 5
y = -1.25
Step-by-step explanation:
3x+4y=10
3x-4y=20
----------------
6x=30
x=5
3(5)-4y=20
15-4y=20
-4y=5
y=-1.25
