Question: Question 1 [8 Marks]\n1.1 Alexander wants to buy a laptop. He can only afford to pay R600 per month. He wants to take out a hire purchase loan over 24 months at a simple interest rate of 20% per annum. Calculate the price of the computer that he can afford to buy. (5)\n1.2 Suppose you are going to teach the main concepts in Question 1.1 write the main objective you will consider. (3)\nQuestion 2 [18 marks]\n2.1 How long would it take for an investment of R50 000 to quadruple if the investment earns simple interest at a rate of 29,1%per annum. (4)\n2.2 Suppose you are to teach the concepts in Question 2.1 state and justify two necessary prior knowledge concepts you would consider. (4)\n2.3 A certain amount was invested in the share market seven years ago and is now worth R1 300 000. The average interest rate during the first five years was 9% per annum compounded annually and for the remaining two years, 10% per annum compounded quarterly. How much money was originally invested? (6)\n2.4 Suppose you are to teach the concepts in Question 2.3 state and justify any two suitable prior knowledge concepts you would consider. (4)\nQuestion 3 [26 marks]\n3.1 Malibongwe invests R36 000 for a period of six years. At the end of the six-year period, the investment has grown to R48 000. During the first 24 months, the investment earns simple interest at a rate of 25% per annum. For the remaining four years, the investment earns interest at a rate of r% per annum, compounded monthly. Calculate the value of r. (5)\n3.2 Suppose you are planning to teach the main concept(s) in Question 3.1.\n3.2.1 State a suitable main SMART objective for this lesson. (3)\n3.2.2 State the necessary prior knowledge concepts for this lesson. (3)\n3.2.3 Write a lesson introduction outline for this lesson, showing teacher and learner activities clearly. (5)\n3.2.4 Describe how you would present the lesson to your learners, showing teacher and learner activities clearly. (10)
1. **Problem Statement:** Calculate the price of the laptop Alexander can afford given he pays $600$ per month for $24$ months with a simple interest rate of $20\%$ per annum.\n\n2. **Formula for Simple Interest:**\n$$I = P \times r \times t$$\nwhere $I$ is interest, $P$ is principal (price of laptop), $r$ is annual interest rate (as decimal), and $t$ is time in years.\n\n3. **Total amount to be paid (A):**\n$$A = P + I = P + P \times r \times t = P(1 + r t)$$\nAlexander pays $600$ per month for $24$ months, so total payment is:\n$$A = 600 \times 24 = 14400$$\n\n4. **Calculate $P$: Given $r = 20\% = 0.20$, $t = \frac{24}{12} = 2$ years, and $A = 14400$, solve for $P$: \n$$14400 = P(1 + 0.20 \times 2) = P(1 + 0.40) = 1.4P$$\nDivide both sides by $1.4$:\n$$P = \frac{14400}{1.4} = \cancel{\frac{14400}{1.4}} = 10285.71$$\n\n5. **Answer:** Alexander can afford to buy a laptop priced approximately $10285.71$.