1Using and Managing Data and InformationNovember 2020 cohortBA3020QA – Assignment 2Task 1: (5 marks)Identify the numbers and buttons you would press on your calculator.Showing the steps in reaching your answer (2 decimal places), explain inwords how you would calculate the following:a) 1.64b) 5√786c) 1 / (1 + 0.7)3d) 2500 × 5-2e) 347.18 + √3430.437-2.28Note to students:You are required to complete all Ten tasks by word processor on a single MSWord file. The submission of this assignment is by uploading it on Turnitin.The deadline for this assignment is (Monday 12th April 2021 before 3pm).2Task 2: (5 marks)a) John phones his manager in New York.Phone calls to New York are charged at the rate of £2.90 for a 5-minute call.John’s call costs £7.86. How long (in minutes) was his call?b) A first time house buyer can make 240 monthly payments of £675 torepay the mortgage. How many monthly payments are required if shecan pay £600 per month?Task 3: (4 marks)Simplify the following, leaving your answers in index form:i) 53 × 55 ÷ 52 ii)iii)iv)10-4 × 10-6 × 103(1/2)2 × (1/2)52-3 ÷ 2-5 Task 4: (2 marks)How many combinations of 5 students can we make from a class of 12 students?Show all your workings.3Task 5: (5 marks)a) The equation of a line is given as y = 2x + 1Explain the meaning of the values 2 and 1b) In the diagram below:i) Find the gradient of the lineii) Write the equation of the line in the form y = mx + biii) Find the exact value of y when x is 5Explain your methods clearly.Task 6: (4 marks)The length of a rectangle is double its width as shown:(2x+3)widthlengthWrite down an expression for the perimeter of the rectangle.4Task 7: (12 marks)Solve the following equations. Show each step of your workings.a) 5x + 22 = 32b) 𝑥5= -4c) 5(x +1) = 40d) 5(x + 2) + 6(x + 3) = 39e) 𝑥+72= -5f) x + 5 = 13 – xg) 2(x + 3) = 4x – 4h) 3(2x+3) + (2x-1) = 7(x-4)i) 15x – 3 = xj) 5 – 2𝑥5= 1 + 45𝑥k) 2𝑥+76=5-5𝑥3l) 5x + 23(𝑥 + 3) = 14(𝑥 – 1)5Task 8: (4 marks)A furniture shop sells only one type of chair and one type of table. The followingsales were recorded for two weeks:5 Tables and 4 Chairs total £2205 Tables and 1 Chair total £130By solving these simultaneous equations, calculate the price of one chair and theprice of one table, explain your reasoning.Task 9: (4 marks)Three friends are discussing their savings in the bank. Ali says he has £1,500 morethan Banko and Cheng says he has triple the amount that Banko has. If Banko has£x, write down an expression for the total amount of money that the three friendshave in their bank.Task 10: (5 marks)In this task, you are asked to formulate the linear programming problem below.You are not required to solve it.A sub-contractor produces two types of units for a kitchen manufacturer, a baseunit (B) and cabinet unit (C).The base unit requires 40 minutes in the production department and 30 minutes inthe assembly department.The cabinet unit requires 15 minutes in the production department and 25 minutesin the assembly department.The production and assembly of these two units are done by specialist carpenterswho are in short supply. Each day only 14 hours in the production department areavailable and only 8 hours are available in the assembly department.Once sold, the base units contribute £16 to profit and the cabinet units £33 toprofit.Required:Formulate the Linear Programming problem above by defining the controlvariables, stating the object function and the two constraints.
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