Explanation

(a)

Price elasticity of suppy = \(\frac{\Delta Q}{\Delta P}\) x \(\frac{P}{Q}\)

P = $20.00

Q = 500 gallons

\Delta Q = 500 - 400 = 100 gallons

\Delta P = $20.00 - $18.00 = $2.00

Es = \(\frac{100}{2}\) x \(\frac{20}{500}\)

Es = 2

(b) The supply is elastic. This is because the coefficient of price elasticity of supply is greater than one (Es > 1).

(c)(i)

(d)(i) Change in the price of related products.

(ii) Cost of production.

(iii) Change in technology.

(iv) Government policy e.g. tax or subsidy

(v) Expectation of producers.

(vi) Number of producers.

(viii) Natural disaster

Correct Answer: A. Humility

Correct Answer: B. -1.60

Explanation

\(\frac{(3.2)^2 - (4.8)^2}{3.2 + 1.8} = \frac{(3.2 - 4.8)(3.2 + 4.8)}{(3.2 + 4.8)}\)

= 3.2 - 4.8

= -1.60

Correct Answer: B) Hypothalamus

Explanation

The question is asking which organ in mammals is responsible for controlling body temperature regulation and water balance. The options are kidney, hypothalamus, parathyroid, and adrenal. The correct answer is option B, the hypothalamus. The hypothalamus is a small gland located in the brain that acts as the body's thermostat, regulating body temperature in response to changes in the environment. It does this by controlling the dilation or constriction of blood vessels near the skin, which affects the amount of heat that is lost or retained by the body. The hypothalamus is also responsible for regulating water balance in the body, by controlling the release of a hormone called antidiuretic hormone (ADH) from the pituitary gland. ADH helps the kidneys to reabsorb water from urine, thereby conserving water in the body. The other options - kidney, parathyroid, and adrenal - are all important organs in the body, but they do not play a direct role in temperature regulation or water balance. The kidney filters waste products from the blood and helps to maintain fluid and electrolyte balance in the body. The parathyroid gland produces a hormone that regulates calcium levels in the blood, while the adrenal gland produces hormones that regulate stress and metabolism. In summary, the hypothalamus is responsible for controlling body temperature regulation and water balance in mammals. To learn more about this topic, please read the relevant sections of the recommended textbooks.

Correct Answer: C. Paul

Correct Answer: D. Clasification

Correct Answer: A. Gen. Ibrahim Babangida

Explanation

The 1985 Nigerian coup d'

Correct Answer: C. 300

Correct Answer: D. decrease

Explanation

If the demand for a good is elastic, the producer revenue will reduce. This is because, when there is an increase in price it will lead to a decrease in the quantity demanded, consumers would most likely move on to consume a substitute, hence the producer of that product would loose revenue as a result of a drop in sales.

Explanation

(a)(i) \(4x < 2 + 3x ..... (1)\)

\(4x - 3x < 2\)

\(x < 2\)

\(x - 8 < 3x ..... (2)\)

\(-8 < 2x\)

\(x > -4\)

\(x < 2 ; x > -4\).

(ii)

(b) Let the digits of the number be x and y.

\(x + y = 9 .... (1)\)

\((10y + x) - (10x + y) = 45 \)

\(10y - y + x - 10x = 45\)

\(9y - 9x = 45 .... (2)\)

From (1), y = 9 - x. Putting it into (2), we have

\(9(9 - x) - 9x = 45\)

\(81 - 9x - 9x = 45\)

\(36 = 18x \implies x = 2\)

\(\therefore y = 9 - x\)

= \(9 - 2 = 7\)

\(\therefore\) The bill = £27.