To solve the equation using the multiplication principle of equality.

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7:33 97% UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2024/2025 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL 30% 1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i} i) List the set of ii) List the set of iii) List the set of vi) List the set of b) Calculate Natural Numbers Integers Numbers Rational Numbers Imaginary numbers (4 marks) || i) 5(-3)+(-6)(-4) -7(-2) = ii) -4(-2)-3(6) + 2(-5) = 3(-2) (2)7-3(-5) (4, 4 marks) 2) a) Calculate 13 -13433 x 5/6 = (4 marks) b) Given 2 3(x-2)=2(2x+3)-1 5 Solve for x (4 marks) Same as 3(x-2)/2 = 2(2x+3)/5 - 1 3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600 if the interest rate is 1.2%. (3 marks) b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00 What is the cost of each item? (4 marks) 4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay increase. How…

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Chapter 45, Problem 19A

To determine

To solve the equation using the multiplication principle of equality.

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7:33 97% UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2024/2025 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL 30% 1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i} i) List the set of ii) List the set of iii) List the set of vi) List the set of b) Calculate Natural Numbers Integers Numbers Rational Numbers Imaginary numbers (4 marks) || i) 5(-3)+(-6)(-4) -7(-2) = ii) -4(-2)-3(6) + 2(-5) = 3(-2) (2)7-3(-5) (4, 4 marks) 2) a) Calculate 13 -13433 x 5/6 = (4 marks) b) Given 2 3(x-2)=2(2x+3)-1 5 Solve for x (4 marks) Same as 3(x-2)/2 = 2(2x+3)/5 - 1 3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600 if the interest rate is 1.2%. (3 marks) b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00 What is the cost of each item? (4 marks) 4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay increase. How…

2. In a computer network some pairs of computers are connected by network cables. Your goal is to set up the computers so that messages can be sent quickly from any computer to any other computer. For this you have identified each of the n com- puters uniquely with a number between 1 and n, and have decided that a message should consist of two such numbers, identifying the sender and the recipient, fol- lowed by the content of the message. As cables are relatively short, you can assume that sending a message across a single cable takes an amount of time that is the same irrespective of the length of the cable. You can further assume that at most one message travels between computer at any point, so that you don't have to worry about inference among messages. (a) Define a graph or network that models the computer network and allows you to answer the remaining parts of this question. (b) Consider two computers, a sender and a recipient. Using the graph or network you have defined,…

3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с 1 el+g5 al-c5 110 d al+cl 180 e f g f5-el c1+c2 2 al+b1 a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2 (d) Can…