UNIVERSITY OF THE WEST INDIES OPEN CAMPUS MATH0900 SEMESTER 2 2023/2024 Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks) 26% Course Work + 4% - from Peer Assessment TOTAL

30% 4) 1) a) From the set {-7, 9, 2.31, 4, -¾, √(-5), √2, 8i, -2.1, 4+2i} i) List the set of ii) List the set of iii) List the set of vi) List the set of 2) a) Calculate b) Given Whole Numbers Rational Numbers Real Numbers Imaginary numbers b) Calculate i) 6(-4) + (-7)(-2) − 5(-3) = ii) 4(-3) + 2(-6) - 3(-5) = 3(-2) - (-4)7 – (-5) 3¹/3 - 2/4 3²/3 x ¾ X 2(3x − 2) = 2 (4 marks) (4 marks) Same as 2(3x - 2)/2 = 4(2x + 3)/3 - 3 3) a) Calculate the interest rate on an investment of $1.5 million if the investment gained an interest of $375,000 after 10 years. (3 marks) 4(2x+3) - 3 3 = Solve for x b) 3 burgers and 2 drinks cost $37.00 (Correction made $37) If 5 burgers and 4 drinks cost $65.00 What is the cost of each item? a) Out of 14 employees 6 are randomly selected for a pay increase. How many possible option are available? b) How many arrangements can be made using the following letter P Q D T B Q S 5) In an AP the 5th Term is 29 the 13th Term is 69. What is the sum of the first twenty terms? (4 marks) 6) In a GP the T3 is 32 and the T6 is 2048. Find the first term, the common ration and the 9th Term. (4, 4 marks) (4 marks) (3 marks) (3 marks) (4 marks) (4 marks) 7) Universal Set { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, Set A – { 2, 4, 7, 10, 12 } and Set B-{ 1, 5, 4, 6, 7, 11} Answer the following questions. a) (AUB) = b) B-A = c) n(A' B') = d) A'U B' = (8 marks) 8) At a camp with 600 students if 325 indicated that they filled out the Blue registration form and 246 filled out the Green registration form. If 78 students did not fill out any registration form but came as they saw the information online. How many students registered twice for the camp? (ie How many students filled out both the Blue and Green form?) (3 marks) Note the assignments is out of 52 Marks but will contribute to 26% of your course work marks. (Easy calculations your score out of 52 divided by 2 is your course work score out of 26%) +4% will come from your peer assessment.