Correct Answer: D. \(\frac{x + 2}{x - 2}\)

Explanation

\(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)

\(\frac{(x - 7)(x + 2)}{(x - 7)(x - 2)}\)

= \(\frac{x + 2}{x - 2}\)

Correct Answer: C. harmatia

Correct Answer: D. Television

Correct Answer: (D) are

Explanation

(a)Reasons people still engage in hawking

• People engage in hawking because of its low cost of operation;
• Some customers still prefer to patronize hawkers who bring goods to their door steps;
• Unemployment encourages people to remain in hawking;
• The ease of set up also encourages people to hawk as there are no legal requirements;
• It requires no formal training;
• There is high rate of turn

(b)The factors of production

(i)Land: This includes all free gifts of nature. It includes sea, soil, rivers,

vegetation and minerals. The reward for land is rent. It is fixed in nature;

(ii)Labour: This refers to all human efforts that are directed towards the production of goods and services for which payments are made. Its reward are wages/salaries/ commission. It is mobile and can be skilled or unskilled;

(iii)Capital: This includes all materials/wealth that is directed towards the production of other goods. it includes physical cash, machineries and equipment that can be acquired and accumulated. Its reward is interesting and it is mobile.

(iv)Entrepreneur/Entrepreneurship/Enterprise: This refers to the owner of the business, who provides, organizes and coordinates the other factors of production. The reward is profit. He bears the risk of the business.

Correct Answer: D. 45

Explanation

T\(_{2}\) = ar = 6

T\(_{5}\) = ar\(^{4}\) = 48

\(\frac{T_5}{T_2}\) = \(\frac{ar^{4}}{ar}\) = \(\frac{48}{6}\)

= r\(^{3}\) = 8

⇒ r = 2

S\(_{n}\) = \(\frac{a((r^n) - 1)}{r - 1}\)

S\(_{4}\) = \(\frac{a((r^4) - 1)}{r - 1}\)

S\(_{4}\) = \(\frac{3((2^4) - 1)}{2 - 1}\)

= 3(16 -1)

= 45

Correct Answer: C. development bank

Explanation

Development banks are financial institutions that focus on providing long-term financing and support for economic development projects and initiatives. They play a vital role in promoting economic growth and addressing various obstacles to development within an economy.

One of the key functions of a development bank is to conduct research and analysis on the economy it operates in. This research helps identify obstacles or challenges to economic growth, such as infrastructure gaps, financing needs, industry bottlenecks, regulatory hurdles, and other barriers that hinder development.

Correct Answer: C. inferior

Correct Answer: D. realizes

Correct Answer: (a) Gain of 20%