Correct Answer: D. attainment of maturity

Explanation

(i) The principle of non-interference in internal affairs of member states. This prevented OAU from playing active role in major crises in member countries.

(ii) Inter-State boundary disputes are common in Africa e.g. Eritrea/Ethiopia, Nigeria/Cameroon, Senegal/Mauritania, etc.

(iii) Lack of military high command. OAU lacked a standing army to be used in conflict situations.

(iv) Existence of sub-regional organizations, e.g. ECOWAS, Mano River Union, etc.

(v) Frequent changes of governments through coups d'etat.

(vi) Member countries still maintain affinity to their former colonial masters

(vii) Ideological differences among African countries

(viii) Fear of domination by some member countries.

(ix) Lack of political will of some Heads of State to carry out OAU decisions.

(x) Internal or domestic strife, conflict, violence, breakdown of law and order in some member states leading to divided attention and lack of support for the Organization.

(xi) Rivalry among the powerful member states for supremacy.

Explanation

(a) Total cost is $10.00 because, at zero output, the cost incurred is $10.00

(b) U = TVC\(_{3}\) = TC\(_{3}\)

= 25 - 10 = $15

V = TVC\(_{4}\) = TC\(_{4}\) - TFC

= 32 - 10 = $22

W = TC\(_{1}\) = TVC\(_{1}\) + TFC

= 8 + 10 = $18

X = TC\(_{2}\) = TVC\(_{2}\) + TFC

= 10+ 10 = $20

Y = TR\(_{3}\) = P * Q\(_{3}\)

= $20 * 3 = $60

X = TC\(_{2}\) = TVC\(_{2}\) + TFC

= 10 + 10 = $20

Y = TR\(_{3}\) = P * Q\(_{3}\)

= $20 * 3 = $60

Z = TR\(_{4}\) = P * Q\(_{4}\)

= $20 * 4 = $80

(c) Profit is TR – TC

At output level 1, profit = $20 - $18 = $2.00

At output level 4, profit = $80.00 - $32.00 = $48.00

(d) Perfect competition/market because the price is fixed at $20.00

Correct Answer: B. borrow /lent

Correct Answer: A. (1, 2)

Explanation

\(4(2^{x^2}) = 8^{x} \equiv (2^{2})(2^{x^2}) = (2^{3})^{x}\)

\(\implies 2^{2 + x^{2}} = 2^{3x}\)

Comparing bases, we have

\(2 + x^{2} = 3x \implies x^{2} - 3x + 2 = 0\)

\(x^{2} - 2x - x + 2 = 0 \)

\(x(x - 2) - 1(x - 2) = 0\)

\((x - 1) = 0\) or \((x - 2) = 0\)

\(x = \text{1 or 2}\)

Correct Answer: B. aluminium

Correct Answer: C. it is poorly financed

Correct Answer: C. raise fruits from the ground

Correct Answer: B. Development fund general warrant

Correct Answer: B) Fatty acid

Explanation

The question is asking us to identify the end product of the digestion of fat. The options are glucose, fatty acid, amino acid, fructose, and galactose. Out of these options, the correct answer is fatty acid. When we eat food containing fat, our body breaks down the fat molecules into smaller molecules through a process called digestion. The first step of fat digestion occurs in the mouth and stomach, where the fat is emulsified by bile and broken down into smaller droplets. These droplets then enter the small intestine, where they are further broken down by enzymes called lipases. The end product of this digestion process is fatty acids. Fatty acids are a type of molecule that can be used by our body for energy or stored as fat in adipose tissue. They are also used to build cell membranes and to produce hormones. In summary, the correct answer to the question is option B: Fatty acid, as it is the end product of the digestion of fat.