3.1 Calculate, in rand per minute, the rate for solo flying - NSC Mathematical Literacy - Question 3 - 2019 - Paper 2

The total approximate cost for a private pilot's licence is the sum of all required components:

1. 28 hours of flying with an instructor at R2 050 per hour:
   • $28 \text{ hours} \times R2 050 = R57 400$
2. 18 hours of solo flying:
   • From above: R31 050.
3. Ground school lessons:
   • 15 hours' theory lessons at R1 242 per 3-hour lesson:
   • $\frac{15 \text{ hours}}{3} \times R1 242 = R4 140$
4. 2-hour ground evaluation:
   • $2 \text{ hours} \times R700 = R1 400$
5. Flying kit including notes:
   • R6 544.
6. 7 examinations at R190 each:
   • $7 \times R190 = R1 330$

Total cost: $R57 400 + R31 050 + R4 140 + R1 400 + R6 544 + R1 330 = R101 864$

To determine if the investment covers the cost of the pilot's licence, we calculate the total amount after two years:

1. First year interest:
   • $Amount = Principal \times (1 + Rate) = R90 000 \times (1 + 0.085) = R90 000 \times 1.085 = R97 650$
2. Second year interest:
   • $Amount = R97 650 \times (1 + 0.085) = R97 650 \times 1.085 = R105 950,25$

Thus, the total amount after 2 years is R105 950,25, which is sufficient to cover the estimated cost of R101 864.

One possible reason for the increase in passing probability after the second attempt is that students may have gained more experience and confidence from their first attempt. Additionally, they likely had the opportunity to review their mistakes and better prepare for the second attempt.

From Table 2:

• Total students for the first attempt: 100 (24 pass + 80 fail)
• Thus, A (failures) = 80
• B (passers from table 3) = 24

On the second attempt:

• 67 students attempted:
• Total pass = 67 × 30% (Second attempt pass rate) = 20.1 or approximately 20.

For the failed students, the numbers are derived accordingly. Final values:

• A = 80, B = 24, C = 96, D = 29, resulting in a total pass count of 52 students.

To verify the conversion of flying hours:

1. Days spent flying:
   • Total flying hours = 26,000 hours.
   • $Total\ days = \frac{26 000}{24} = 1083.33 \text{ days}$
2. Weeks and hours:
   • Total weeks = $\frac{1083.33}{7} \approx 154.2 \text{ weeks}$
   • Total flying hours in weeks = 154 weeks and 5 days correspond to 8 hours of flying. The calculations confirm the validity of the statement.

The total number of loose parts can be identified from Annexure E. Assuming there are 12 parts in total for assembly, one should refer to that document for the precise count.

1. Place the bench face down.
2. Align the bench legs with the holes on the bench seat and insert securely.

The long panel serves as the primary structural component of the bench, supporting the weight and stability of the assembled unit. It is critical for maintaining the overall integrity and functionality of the bench.