Correct Answer: A. Argon

Correct Answer: B. abelmuscus esculentus

Correct Answer: C. merit system

Correct Answer: B. a decrease in the income stream

Explanation

An increase in savings will lead to a reduction in the stream of income available for consumption in the household

Correct Answer: C. instituting price control

Explanation

Instituting price control can affect the efficient distribution of goods in west Africa. Price control government regulation establishing a maximum price to be charged for specified goods and services, especially during periods of war or inflation.

Correct Answer: C. 2 : 3

Explanation

Let's denote the masses of the two bodies as m1 and m2, their accelerations as a1 and a2, and the forces they experience as F1 and F2.

We are given the following ratios:

1. Ratio of masses: m1 : m2 = 3 : 1

This can be written as m1/m2 = 3/1.

2. Ratio of accelerations: a1 : a2 = 2 : 9

This can be written as a1/a2 = 2/9.

According to Newton's Second Law of Motion, Force (F) = mass (m) × acceleration (a).

So, for the first body: F1 = m1 × a1

And for the second body: F2 = m2 × a2

We need to find the ratio of the forces, F1 : F2, which is F1/F2.

F1/F2 = (m1 × a1) / (m2 × a2)

We can rearrange this as:

F1/F2 = (m1/m2) × (a1/a2)

Now, substitute the given ratios into this equation:

F1/F2 = (3/1) × (2/9)

F1/F2 = (3 × 2) / (1 × 9)

F1/F2 = 6/9

To simplify the ratio, divide both the numerator and the denominator by their greatest common divisor, which is 3:

F1/F2 = (6 ÷ 3) / (9 ÷ 3)

F1/F2 = 2/3

So, the ratio of the forces is 2:3.

The final answer is \(2 : 3\).

Correct Answer: A. legitimate right to exercise political power

Explanation

political authority describes any of the moral principles legitimizing differences between individuals' rights and duties by virtue of their relationship with the state. Political authority grants members of a government the right to rule over citizens using coercion if necessary, while imposing an obligation for the citizens to obey government orders.

Correct Answer: D. transaction systematically to ascertain the financial position of a business

Explanation

(a) Worth of raw materials = N30,450.00

Worth of raw material to get processed materials = N87.00

Amount of raw material to get processed material = \(\frac{30,450}{87}\)

Time required for direct labour = 3 hours

Amount that will be budgeted for direct labour at N18.25 per hour =

\(3 \times 18.25 \times \frac{30,450}{87}\)

= \(\frac{1667137.5}{87}\)

= N19,162.50

(b) Total amount invested \(N(x + y) = N8,000,000 ....(1)\)

Interest from bank M = \(\frac{x \times 4 \times 6}{100} = 0.24x\)

Interest from bank N = \(\frac{y \times 4 \times 8}{100} = 0.32y\)

\(0.24x + 0.32y = 2,320,000 .... (2)\)

(i) Multiplying (1) by 0.24 in order to eliminate x, we have

\(0.24(x + y) = 0.24(8,000,000.00)\)

\(0.24x + 0.24y = 1,920,000.00 .... (3)\)

(2) - (3) : \(0.32y - 0.24y = 2,320,000 - 1,920,000 = 400,000\)

\(0.08y = 400,000 \implies y = \frac{400,000}{0.08} = N5,000,000\)

\(x = 8,000,000 - y\)

= \(8,000,000 - 5,000,000\)

= \(N3,000,000\)

Therefore, x = N3,000,000 and y = N5,000,000.

(ii) Interest paid by bank N = 0.32y

= \(0.32 \times N5,000,000\)

= \(N1,600,000\)

Correct Answer: C. net national product