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Power and Corruption

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ASSIGNMENT LETTER
Diploma Entrepreneurship and
New Venture Management
Higher Diploma in Accounting and Auditing
2016 SEMESTER (1)
[BASIC MATHEMATICS
ABM2411]
DUE DATES | Assignment 1 | 14 March 2016 | Semester 1 andYear modules | Assignment 2 | 29 March 2016 | Only Semester 1 modules | Assignments Resubmissions | 18 April 2016 | All assignments of Semester 1 modules and assignment 1 of Year modules | Vacation School | 22 -24 March 2016 | All CODeL Programmes |

CENTRE FOR OPEN, DISTANCE AND eLEARNING
Open your mind 2016 Assignments Basic Mathematics - ABM2411 Dear Student, Welcome to the University of Namibia and to the Centre for Open, Distance and eLearning in particular. We hope your studies will be rewarded with success. We advise that you get all the relevant information and booklets available for distance students from your nearest UNAM centre (including the Student Letter for 2016 and the CODeL Student Handbook). These documents will provide advice on how to approach your studies and will guide you through your study materials as well as providing with useful administrative information. Study materials
Your study guide is essentially your “teacher/lecturer”. However, in addition you are required to visit the library to consult prescribed books and recommended readings that are indicated in the study guide. You are also responsible to purchase any prescribed textbooks required for your course. Furthermore, you are strongly advised to follow the guidelines in CODeL Student Handbook.

Submission of assignments
It is very important to complete and submit a clean, clear and well-argued assignment for marking. Make sure that you have answered the questions correctly. It is the responsibility of you as a student to make sure that every page of the completed assignment is numbered in the correct order before the pages are stapled together inside the assignment cover. Once completed, each assignment must be stapled in a separate assignment cover. Assignment covers and envelopes are supplied together with your study materials during registration or on request from your nearest campus and/or centre. You must use the envelopes addressed to the Centre for Open, Distance and eLearning for the submission of all assignments. You should complete and submit all assignments on or before the given due date in the assignment letter if you wish to be admitted to the next examination. Note that assignments received after the due dates will not be accepted and therefore will not be included in the calculation of continuous assessment (CA) marks. The CA mark and the examination mark will determine your final mark for the module.

For record keeping and to ensure that assignments reach us in good time, submit your completed assignments on time to the Centre for Open, Distance and eLearning, either * through the University regional centres, or * via the UNAM Student Portal (find more information below)*

If you live in the vicinity of Windhoek and prefer to hand in assignments personally, you are welcome to hand them in at the offices of the Centre for Open, Distance and eLearning by placing them in the assignment box provided for that purpose, located in the F-Block on the Main Campus. This box is accessible at all times and is cleared daily at 07H30, Monday to Friday. Assignments left overnight are stamped with the next day’s date.

Take note that assignments should never be submitted directly to individual tutors or any other staff members of the University of Namibia.

*When submitting your assignments electronically on the UNAM Student Portal follow the link provided on the UNAM Portal, which will import all the required information, such as your student number, name, module name and code as well as the assignment number.

*You are discouraged from using Nampost for submitting assignments because of delays in the delivery.

LATE SUBMISSION OF ASSIGNMENTS or WRITING OF TESTSLate assignment will not be marked. If there is a reason why you cannot meet the due date, please consider cancelling the module within the cancellation deadlines or contact your Deputy Director: Open and Distance Learning for advice.The following reasons may be considered for extension of due dates: * personal illness or injury, or serious illness or death of an immediate relative, immediately preceding assignment due dates, provided that a death certificate or a medical certificate specifying the nature and duration of the illness or injury is attached * other circumstances that may affect your studies and that justify the late submission of an assignment or writing of a test.It is the responsibility of individual students to apply for an extension before the due dates of the assignments and submit supporting documentation. |

Vacation schools
Attending vacation school is COMPULSORY and the vacation school timetable will be made available at your nearest UNAM centre and through the UNAM portal.

My UNAM portal
We recommend that you regularly (at least twice a week) access “My UNAM Portal” on the UNAM website for further information at the following URL: www.unam.na

Closing remarks
If you study conscientiously, your efforts will be rewarded. Should you need any assistance or clarification on the module contents, you can reach the relevant staff members at the contact details as given below: Tutor: | Admire Kachepa | | akachepa@gmail.com | Student Support Coordinator: | Charlene Kaereho | 061-2063729 | ckaereho@unam.na | Examination Officer | Sacky Mbeeli | 061-2064604 | smbeeli@unam.na |
NOTE: For additional information consult the CODeL Prospectus and UNAM General Information and Regulations Prospectus.

ABM2411 Basic Mathematics Assignment 01
Question 1 [ 40 Marks]
I [ 6 ]
Evaluate the following binary numbers a. 0000 11102 + 0000 01102 b. 000110012 - 000011102 c. ABC16 - 64216
II [ 4 ]
Convert the following binary numbers to octal a. 11101011102 b. 111101.011012
III [ 4 ]
Convert the following to hexa-decimal numbers. a. 11111011012 b. 11110.010112
IV [ 8 ]
Convert the following to their binary equivalents a. 15738 b. 64.1758 c. A74816 d. BA2.23C16

V [10]
Evaluate the following a. 110110 - 10110 b. 10110 - 11010 c. 1010.11 – 1001.01 d. (162)8 + (537)8 e. A16 + D16
VI [8] a. Convert A74816 to octal b. Convert 15738 to hexa-decimal c. Convert the following to decimal numbers (i) 7258 (ii) D9F16

Question 2 [10 Marks] a. Simplify each of the following

(i)

(ii) (ii) b. Expand and simplify (i) 3(x + 2) + 2(x + 4) (ii) 5(k + 12) + 2( K – 6 ) (iii) 6(3 – n) + 2( n – 4)

Question 3 [ 21 Marks]
I [10] a. Solve -x + 6 1 b. The price of a pair of trousers was decreased by 22% to N$30. What was the original price of the trousers? c. A number increases from 30 to 40 and then decreases from 40 to 30. Compare the percent of increase from 30 to 40 and that of the decrease from 40 to 30.
II [11]
In a group of 100 persons, 72 people can speak English and 43 can speak French. a. How many can speak English only? b. How many can speak French only? c. How many can speak both English and French?

Question 4 [29 Marks]
I [12]
Draw a Venn diagram to represent the relationship between the sets
X = { 1, 2, 5, 6, 7, 9, 10 } and Y = { 1, 3, 4, 5, 6, 8, 10 }
II [6]
Given that U = { 5, 6, 7, 8, 9, 10, 11, 12 }, list the elements of the following sets a. A = { x: x is a factor of 60 } b. B = { x: x is a prime number }
III [6]
Let A = { x: x is a natural number and factor of 18 } B = { x: x is a natural number and less than 6 }
Find A U B and A B
IV [5]
Let A and B be two finite sets such that (A) = 20, (B) = 28 and
( A U B) =36, find (A B)
END

ABM2411 Basic Mathematics

Assignment 02

Question 1 [ 20 Marks]
I [10 ] a. Write down the improper fraction as a mixed number

b. Simplify the following

i.

ii.

iii. c. Convert to a percentage
II [10] a. The numbers x, y, z and w have an average equal to 25. The average of x, y and z is equal to 27. Find w b. What amount was borrowed, for which the amount of interest is N$ 200 at the rate of 5% for 4 years?

Question 2 [14 Marks]
I [10]
Rationalise and simplify the given expressions a. .

b. . + 3

c.

d. .

e.

II [4]
What are the dimensions of a square that has the perimeter and area equal in value?

Question 3 [20 Marks]
I [6]
Solve for x in the following a. 5x – 6 = 3x – 8 b. x + x = 5x - c. 2(3x – 7) + 4(3x + 2) = 6(5x + 9) + 3

II [4]
If Mr Nawa earns N$ x in a week and spend N$ y, what part of his weekly salary did he save?
III [10]
A Physics test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

Question 4 [20 Marks]
I [10] a. Solve + X =

b. Find a, b and c if + =
II [10] a. Let A = and B = , Compute A2 , AB, and BA b. If A= and B =

Compute 5A and 4A – 3B.

Question 5 [16 Marks]
I [6]
Find the equation of the line defined as follows:

a. It passes through the points (-3 , 3) and (0 , 6).

b. It passes through the point (1 , 0) and is perpendicular to c. the line -2x + 4y = 2

d. It has a slope equal to -3 and a y intercept at (0 , 4).

II. [2]

Find the slope and the y intercept of the line 5x + 4 y = - 8

III. [2]

Find the equation of the line passing through the point (1 , 2) and has slope equal to - 4. Graph the equation.

IV [4] a. If the coordinates of the midpoint of the line segment with end points (a, 4) and (3, b) are (5, -2), find the values of a and b.

b. Find the equation of a line passing through the point (2, 5) with a gradient of 3.
V [2]
Find an equation of a line containing ( -4,5 ) and perpendicular to the line
5x – 3y = 4

Question 6 [20 Marks]
I [10]
A rectangular garden in Mrs Shikongo's house has a length of 100 meters and a width of 50 meters. A square swimming pool is to be constructed inside the garden. Find the length of one side of the swimming pool if the remaining area (not occupied by the pool) is equal to one half the area of the rectangular garden. II [10]
The height h of water in a cylindrical container with radius r = 5 cm is equal to 10 cm. Peter needs to measure the volume of a stone with a complicated shape and so he puts the stone inside the container with water. The height of the water inside the container rises to 13.2 cm. What is the volume of the stone in cubic cm? Write your answer in terms of pi (π).

END

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