1. Problem: Calculate the amount of John's investment after 2 years with a compound interest rate of 10% per annum. Step 1: Use the compound interest formula $$A = P(1 + r)^t$$ where $P=5000$, $r=0.10$, and $t=2$. Step 2: Substitute values: $$A = 5000(1 + 0.10)^2 = 5000(1.10)^2$$. Step 3: Calculate: $$A = 5000 \times 1.21 = 6050$$. Answer: $6050$ which corresponds to option C. 2. Problem: Simplify the expression $$(3y - 2x + 4) - (y + 2x - 1)$$. Step 1: Distribute the minus sign: $$3y - 2x + 4 - y - 2x + 1$$. Step 2: Combine like terms: $$(3y - y) + (-2x - 2x) + (4 + 1) = 2y - 4x + 5$$. Answer: $2y - 4x + 5$ which corresponds to option D. 3. Problem: Determine which point does NOT lie on the line $$y = 2x - 1$$. Step 1: Test each point by substituting $x$ into the equation and checking if $y$ matches. - For (0,1): $y = 2(0) - 1 = -1 \neq 1$ (does not lie on the line). - For (1,2): $y = 2(1) - 1 = 1$ (does not match 2). - For (2,4): $y = 2(2) - 1 = 3$ (does not match 4). - For (3,5): $y = 2(3) - 1 = 5$ (matches). Step 2: Points (0,1), (1,2), and (2,4) do not lie on the line, but only one option is correct. Re-examining options: - Option A: (0,1) does NOT lie on the line. Answer: Option A. 4. Problem: Find the probability of rolling a number greater than 2 and less than 6 on a fair six-sided die. Step 1: Numbers greater than 2 and less than 6 are 3, 4, and 5. Step 2: Count favorable outcomes: 3 numbers. Step 3: Total possible outcomes: 6. Step 4: Probability = $$\frac{3}{6} = \frac{1}{2}$$. Answer: Option C.