7:46 B V Z Till 100% Individual Assignment .pdf - Read-only K . . . Sign in to edit and save changes to this file. V b ) Figure I below shows the graphical representation of a straight-line m From the diagram above; i. Describe the straight-line m (the line-colored orange). [2 marks] ii. Identify two clear and distinct points on the straight-line m. [2 marks] iii. Calculate the gradient of the straight-line m. [3 marks] iv. Determine the equation of the straight-line m. [4 marks] v. Straight line z passes through the origin and is perpendicular to straight line m, determine the equation of the straight-line z. [6 marks] 3. a) A function h is defined by: h(q) = aq3 + q2 + bq -240 When h(q) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of h(q). i. Calculate the values of a and b. [8 marks] ii. Hence or otherwise, determine all the factors of h(q). [4 marks] b) Massy Store makes a $10,500 investment at Republic Bank Lid on January 1, 2019. At the end of December 31, 2023, Massy Store is expected to accumulate an amount of $17166.25? i. Calculate the interest rate needed to procure this investment? [5 marks] w ii. How long will it take for the initial amount invested to be doubled, given that interest is compounded annually at the rate in (i) above? [5 marks] c) At the end of eight years Susan had $6,000.00 in an investment account. The investment account pays interest at 7% p.a. compounded annually. How much money did Susan invested into the account at the start. [3 marks] 3 of 4 4. a) Solve the following for i. 23x-1 = [3 marks] ii. 4* - 2X -12 = 0 [7 marks] III O