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Compare the two quantities below.
Column A: $(0.82)^2 \cdot (0.82)^3$
Column B: $(0.82)^6$
Using the rule of exponents: $(0.82)^2 \cdot (0.82)^3 = (0.82)^{2+3} = (0.82)^5$.
Now compare $(0.82)^5$ vs $(0.82)^6$.
Since $0 < 0.82 < 1$, multiplying by $0.82$ makes the number smaller. Therefore $(0.82)^5 > (0.82)^6$.
Column A is greater.
The total of the discount column on the debit side of the cash book had been debited to discount received instead of correctly posted. Which accounts correct this error?
- Discount allowed
- Discount received
- Suspense
Option B (1 and 2 only) is correct.
The debit side discount column = discounts allowed. Correct entries: Debit discount allowed; Credit discount received. The error debited discount received instead of crediting it. Correction uses discount allowed and discount received only — no suspense needed as both sides of the trial balance are equally affected.
4 g of Mg heated in excess O₂. Theoretical yield of MgO (g) is: \(2\mathrm{Mg} + \mathrm{O}_2 \rightarrow 2\mathrm{MgO}\)
Molar mass Mg = 24 g/mol: moles Mg = 4/24 = 0.1667 mol. 2 mol Mg → 2 mol MgO, so mol MgO = 0.1667 mol. Molar mass MgO = 40 g/mol: mass = 0.1667×40 = 6.67 g ≈ 6.6 g.
Which one of the following qualifies as a capital expenditure?
Capital expenditure is spending that improves, extends the life of, or adds value to a long-term asset. Renovating and upgrading a building increases its value and useful life — this is capital expenditure. The other options are all revenue expenditures: carriage outwards, legal recovery fees, and wage bonuses are period costs that appear on the income statement and do not create lasting assets.
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