QUESTION 6 Figure 2. In the trapezium DEFG above, not drawn to scale, DE - 10 em. DG - 13 cm and GX - 5 cm. Angle EFX and DXF are right angles. Calculate: (i) the length of DX. (3 marks] (il) the area of trapezium DEFG. [4 marks] b) Alice invests $600 for 3 years at 12% per annum simple interest. Calculate the total amount of money Alice will have at the end of the period. [3 marks] QUESTION ? A 2018 Pro-Box car was bought in 2020 for $850,000. An insurance company decides to calculate its depreciation at 6% per annum. Determine: Given that y = 2x2 - x - 6. (i) its value 3 years after it was purchased. (3 marks] a) Copy and complete the following table in your answer sheet [4 marks] the amount it depreciated by for the same period. [2 marks] 2 -1 0 1 2 - 3 1 - 5 b) Using a scale of 2 cm to represent 1 unit on the x-axis and I em to represent 1 unit on the y-axis, draw the graph of y = 2x2 - x - 6 for -2 s x $ 3. [6 marks] c) Using your graph, find the solution of 2x2 - x - 6 = -3, [3 marks] QUESTION 4 ii) state the coordinates of the minimum point of y = 2x2 - x -6. [2 marks] a) In the diagram below, A is the point (-1, - 7) and B is the point (4, 3). Figure 1. Determine: (i) The length of the line segment AB, correct to 1 decimal place. [2 marks] (ii) The gradient of the line AB. (2 marks] (iii) The equation of the line parallel to AB and passing through the point (2, 5). [4 marks] b) Andrew booked a room at the Bernard Lodge. He stayed there for 3 nights and had breakfast on 2 mornings. His bill amounted to US$145. If he paid JS 25 000, how much balance would he receive in Jamaican dollars? Given USS 1.00 = JS 150.50. 13 marks] C) A credit union pays 8% per annum compound interest on all fixed deposits. er deposited $24, 000 in a fixed deposit account. Calculate the TOTAL amount of money in the account, at the end of three years. [4 marks] PhotoGrid