the question is the formula use in calculating depreciation that is reducing balance method which is (1-n√s/c)×100/1 now we were asked to now make each of n,s,and c in the formula the subject of the formula
To make each of n, s, and c the subject of the formula, we need to rearrange the formula accordingly.
Let's start with the given formula:
(1 - n√s/c) × 100/1 = Depreciation
To make n the subject of the formula, we need to isolate n on one side of the equation.
(1 - n√s/c) × 100/1 = Depreciation
First, divide both sides of the equation by 100 to remove the 100/1 fraction:
(1 - n√s/c) = Depreciation/100
Next, subtract Depreciation/100 from both sides to isolate the term with n:
1 - Depreciation/100 = n√s/c
Now, divide both sides of the equation by √s/c:
(1 - Depreciation/100) × c/√s = n
Hence, n = (1 - Depreciation/100) × c/√s.
To make s the subject of the formula:
(1 - n√s/c) × 100/1 = Depreciation
First, divide both sides of the equation by (1 - n√s/c) to isolate the term with s:
100/1 = Depreciation / (1 - n√s/c)
Next, multiply both sides of the equation by (1 - n√s/c) to remove the fraction:
(100/1) × (1 - n√s/c) = Depreciation
Now, subtract Depreciation from both sides to isolate s:
100 - Depreciation = n√s/c
To eliminate the square root, square both sides of the equation:
(100 - Depreciation)^2 = (n√s/c)^2
10000 - 200Depreciation + Depreciation^2 = n^2(s/c)
Lastly, divide both sides of the equation by n^2(s/c) to isolate s:
s = (n^2(s/c)) / (10000 - 200Depreciation + Depreciation^2)
Therefore, s = (n^2(s/c)) / (10000 - 200Depreciation + Depreciation^2).
To make c the subject of the formula:
(1 - n√s/c) × 100/1 = Depreciation
First, divide both sides of the equation by (1 - n√s/c) to isolate the term with c:
100/1 = Depreciation / (1 - n√s/c)
Next, multiply both sides of the equation by c to remove the fraction:
(100/1) × c = Depreciation × c / (1 - n√s/c)
Now, subtract Depreciation × c from both sides to isolate c:
100c - Depreciation × c = n√s
To eliminate the square root, square both sides of the equation:
(100c - Depreciation × c)^2 = (n√s)^2
(100c)^2 - 20000Depreciation × c + (Depreciation × c)^2 = n^2s
Lastly, divide both sides of the equation by n^2 to isolate c:
c = [(100c)^2 - 20000Depreciation × c + (Depreciation × c)^2] / n^2
So, c = [(100c)^2 - 20000Depreciation × c + (Depreciation × c)^2] / n^2.