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Maximum power transfer theorem: load resistance should equal:
For maximum power, R_L = R_source (Thรฉvenin resistance).
The 'Separation of Powers' doctrine was most famously elaborated by:
Montesquieu's 'The Spirit of the Laws' advocated for dividing government into three branches.
Given that $p$ and $q$ are different prime numbers, $r$ is the least prime number greater than $p$, and $s$ is the least prime number greater than $q$.
Compare:
Column A: $r - p$
Column B: $s - q$
The difference between a prime and the next prime varies. For example:
- $3 - 2 = 1$ (gap of 1)
- $5 - 3 = 2$ (gap of 2)
- $7 - 5 = 2$ (gap of 2)
- $11 - 7 = 4$ (gap of 4)
- $23 - 19 = 4$ (gap of 4)
Since $p$ and $q$ are different primes and we don't know which specific primes they are, the gaps $r - p$ and $s - q$ could be equal or different.
For instance:
- If $p = 2$ and $q = 3$: then $r = 3, s = 5$, so $r - p = 1$ and $s - q = 2$, making Column B greater
- If $p = 3$ and $q = 2$: then $r = 5, s = 3$, so $r - p = 2$ and $s - q = 1$, making Column A greater
Since the relationship depends on which primes are chosen, it cannot be determined from the given information.
The four areas most influenced by legislation in HRM include:
The text explicitly identifies four areas most influenced by legislation: equal employment, compensation, safety, and labor relations. Failure to comply can result in costly back-pay awards, class action suits, and penalties.
Vehicle X cost $80,000, useful life 5 years, residual value $5,000, depreciated straight-line. After 3 years, part-exchange value was $20,000. What was the loss on disposal?
Option B ($15,000) is correct.
Annual depreciation = ($80,000 − $5,000) ÷ 5 = $15,000
Accumulated depreciation after 3 years = $45,000
Carrying value = $80,000 − $45,000 = $35,000
Loss on disposal = $35,000 − $20,000 = $15,000
Property purchased 1 January 2010 for $100,000, useful life 50 years. On 1 January 2024, revalued to $119,000. Total useful life remains 50 years from 2010. What is the depreciation charge for year ended 31 December 2024?
Option D ($3,306) is correct.
Years elapsed by 1 Jan 2024 = 14 years; Remaining life = 50 − 14 = 36 years
Annual depreciation = $119,000 ÷ 36 = $3,305.56 ≈ $3,306
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