Explanation

(a)The following are the effects of higher purchase on the buyer;

(i) He is able to beat any future increase in price by buying now in hire purchase.

(ii) Buyer will find it convenient paying by installments

(iii) He gets the goods for use, though full payments have not been effected.

(iv) He could lose through repossession in the event of -default.

(v) Buyer pays more for the goods

(vi) He is encouraged to mortgage his future income / to live- beyond his income.

(vii) He enjoys increased standard of living.

(viii) He can return the goods after paying 50% of the price.

(ix) The buyer can be sued in case 9f defaults.

(b) Effect of hire purchase on the Seller

(i) There will be increase in sales.

(ii) Seller gets more profit selling on credit as hire purchase price is more than the cash price.

(iii) Hire purchase encourages faster sales of durable expensive goods.

(iv) It also increase in bad debts as a result of debtors running away.

(v) Repossessed goods may be so badly used that it is not possible to dispose of them.

(vi) He will incur additional cost to collect the necessary installments (keeping records)

(vii) He can only repossess the goods 'through the courts after 2/3 of the price has been paid

(viii) In hire purchase, seller can repossess his goods.

Correct Answer: C. at-Tin

Correct Answer: D. The death of a business partner

Explanation

(a) The formula for the first principles method of calculating derivatives is

\(\frac{\mathrm d y}{\mathrm d x} = \lim \limits_{\Delta x \to 0} \frac{f(x + \Delta x) - f(x)}{\Delta x}\)

\(f(x) = (2x + 3)^{2} = 4x^{2} + 12x + 9\)

\(f(x + \Delta x) = 4(x + \Delta x)^{2} + 12(x + \Delta x) + 9\)

= \(4x^{2} + 8x \Delta x + 4 (\Delta x)^{2} + 12x + 12\Delta x + 9\)

\(\lim \limits_{\Delta x \to 0} \frac{(4x^{2} + 8x \Delta x + 4(\Delta x)^{2} + 12x + 12\Delta x + 9) - (4x^{2} + 12x + 9)}{\Delta x}\)

= \(\lim \limits_{\Delta x \to 0} \frac{4(\Delta x)^{2} + (8x + 12)\Delta x}{\Delta x}\)

= \(\lim \limits_{\Delta x \to 0} 4 \Delta x + (8x + 12)\)

\(\frac{\mathrm d y}{\mathrm d x} = 8x + 12\)

(b) \(\int_{1} ^{2} \frac{(x + 1)(x^{2} - 2x + 2)}{x^{2}} \mathrm {d} x\)

= \(\int_{1} ^{2} \frac{x^{3} - 2x^{2} +2x + x^{2} - 2x + 2}{x^{2}} \mathrm {d} x\)

= \(\int_{1} ^{2} \frac{x^{3} - x^{2} + 2}{x^{2}} \mathrm {d} x\)

= \(\int_{1} ^{2} (x - 1 + 2x^{2}) \mathrm {d} x\)

= \([\frac{x^{2}}{2} - x - \frac{2}{x}]_{1} ^{2} \)

= \((\frac{2^{2}}{2} - 2 - \frac{2}{2}) - (\frac{1^{2}}{2} - 1 - \frac{2}{1})\)

= \((2 - 2 - 1) - (\frac{1}{2} - 1 - \frac{2}{1})\)

= \(-1 - (-\frac{5}{2}) = \frac{3}{2}\)

Correct Answer: C. Rapid growth of population

Correct Answer: A. optimistic

Correct Answer: A. primary market

Correct Answer: C. Dr: Realization account; Cr: Cash account

Explanation

When dissolution expenses are paid, the Realization account is debited because it represents the expenses related to the dissolution of the partnership. The Cash account is credited because cash is going out of the business to pay for these expenses. Hence, the correct accounting entry is 'Dr: Realization account; Cr: Cash account'.

Correct Answer: A. 12

Explanation

\(Mean : \frac{x + 4 + z + t}{4} = 5 \implies x + 4 + z + t = 20\)

\(\implies x + z + t = 16 ... (1)\)

\(Median : \frac{4 + z}{2} = z \implies 4 + z = 2z\)

\(4 = z\)

From 1,

\(\implies x + 4 + t = 16 \)

\(x + t = 12\)

Correct Answer: B. 110001_two