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

The total approximate cost can be calculated by adding all individual costs:

• 28 hours with an instructor at R2,050/hour:

$28 imes R2\,050 = R57\,400$

• 18 hours of solo flying at R31,050: R31,050
• 15 hours of flying lessons at R1,242/hour:

$15 imes R1\,242 = R18\,630$

• 2-hour ground aviation lessons at R700: R700
• Flying kit including notes: R6,544
• 7 examinations at R190/examination:

$7 imes R190 = R1\,330$

Now add these together:

$ext{Total Cost} = R57\,400 + R31\,050 + R18\,630 + R700 + R6\,544 + R1\,330 = R116\,654$

To calculate the total after two years:

• Use the formula for compound interest:

$A = P(1 + r)^n$

where:

• A = total amount
• P = principal amount (R90,000)
• r = interest rate (0.085)
• n = number of years (2)

Calculating:

$A = 90000(1 + 0.085)^2 = 90000(1.085)^2 \approx R105,950.25$

The amount after two years is R105,950.25 which is enough to cover the costs of a private pilot's licence.

Students study more after failing; they may review material more seriously and focus on areas where they struggled. This increased preparation often leads to better performance in subsequent attempts.

From the first attempt:

• Given that 24 students passed, A (the total number) is 24 + 67 = 91.
• Failure rate for the first attempt is 80%, thus the total number of students can be calculated:

$0.2A = 24 \Rightarrow A = 120$

Thus B (number of students who failed the 1st attempt) = 120 - 24 = 96. For the second attempt,

• With a passing rate of 30%:

$D = 0.3C \quad D = 67 - C \text{ (with C being number who passed)}$. Substituting we find:

$D + C = 67; C + D = 29$

The statement suggests that 26,000 hours can be converted to a number of weeks:

• Convert hours to weeks:

$ext{Weeks} = \frac{26000 ext{ hours}}{168 ext{ hours/week}} \approx 154 \text{ weeks}$

• Breaking it down (5 days a week, 8 hours a day)

$5 \times 8 = 40 \text{ hours/week} \Rightarrow 154 \text{ weeks} \text{ is valid.}$

From the assembly illustrations, it can be verified that there are a total of X loose parts in the box. (Replace X with the actual number based on illustration.)

1. Place the seat face down on a flat surface with the joined legs at the center.
2. Align the bench legs with the pre-drilled holes on the seat.

The long panel serves as a structural reinforcement for the bench, connecting the legs and ensuring stability and strength.