Correct Answer: C. demand

Explanation

Demand is an economic concept that relates to a consumer's desire to purchase goods and services and willingness to payt a specific price for them.

Explanation

(a)(i) U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 5, 7}

A' = U - A = {3, 4, 6, 8, 9, 10}

(ii) \(A \cap B = {1, 2, 5, 7} \cap {1, 3, 6, 7} = {1, 7}\)

\((A \cap B)' = {2, 3, 4, 5, 6, 8, 9, 10}\)

(iii) \(A \cup B = {1, 2, 5, 7} \cup {1, 3, 6, 7}\)

= \({1, 2, 3, 5, 6, 7}\)

\((A \cup B)' = {4, 8, 9,10}\)

(iv) {1, 3, 6}, {1, 3, 7}, {1, 6, 7} and {3, 6, 7}.

(b) The nth term of the sequence is given as

\(U_{n} = \frac{n + 1}{n(n + 2)}, n = 1, 2,3\)

For the 15th term,

\(U_{15} = \frac{16}{15 \times 17}\)

(c)(i) \(T_{n} = a + (n - 1)d\)

\(T_{n} = 3 + (n - 1)4 = 3 + 4n - 4\)

= \(4n - 1\)

(ii) \(4n - 1 > 100\)

\(4n > 100 + 1 \implies 4n > 101\)

\(n > 25.25\)

The least term greater than 100 = 26th term.

(a)(i) U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 5, 7}

A' = U - A = {3, 4, 6, 8, 9, 10}

(ii) \(A \cap B = {1, 2, 5, 7} \cap {1, 3, 6, 7} = {1, 7}\)

\((A \cap B)' = {2, 3, 4, 5, 6, 8, 9, 10}\)

(iii) \(A \cup B = {1, 2, 5, 7} \cup {1, 3, 6, 7}\)

= \({1, 2, 3, 5, 6, 7}\)

\((A \cup B)' = {4, 8, 9,10}\)

(iv) {1, 3, 6}, {1, 3, 7}, {1, 6, 7} and {3, 6, 7}.

(b) The nth term of the sequence is given as

\(U_{n} = \frac{n + 1}{n(n + 2)}, n = 1, 2,3\)

For the 15th term,

\(U_{15} = \frac{16}{15 \times 17}\)

(c)(i) \(T_{n} = a + (n - 1)d\)

\(T_{n} = 3 + (n - 1)4 = 3 + 4n - 4\)

= \(4n - 1\)

(ii) \(4n - 1 > 100\)

\(4n > 100 + 1 \implies 4n > 101\)

\(n > 25.25\)

The least term greater than 100 = 26th term.

Correct Answer: C. Cursor

Correct Answer: C. promotes free and fair elections

Correct Answer: D. honest

Correct Answer: D. Hydro-electricity

Correct Answer: C. Jamaica

Correct Answer: D. cotton

Correct Answer: D. sublimation

Explanation

The following are some of the significance of intentions as contained in Hadith 1 of an-Nawawi collection:

- Intentions are conditions for the acceptance of any action.

- No reward for anyone who does action for the sake of something else.

- Whoever intends an action for the sake of Allah but could not do it due to unavoidable circumstances, would still be rewared by Allah.

- Intentions help to distinguish between different acts of Ibadah(Worship) e.g Asr from Salatul-Ishai: both are four rakahs but intentions help to distinguish it.

- It differentiates between ordinary actions and acts of Ibadah(worship)

- Ordinary action can turn to worship because of intentions.