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COURSE CODE: BUS729 CREDIT UNIT: 2
COURSE TITLE: Business Mathematics
TIME ALLOWED: 2hrs
INSTRUCTIONS: 1. Attempt question number one (1) and any other (2) questions.
2. Question number 1 carries 30 marks, while the other two (2) questions carry 20 marks each.
3. Present all your points in coherent and orderly manner.
1a. Define Cash flows 7marks
1b. A company wishes to spend #40000 for new equipment and decides to set up a sinking fund to accumulate this money over a 3 year period. If payments are to be made to the fund quarterly, with interest compounded quarterly at an annual rate of 5%, how large should the payments be? 11marks
c.) Let A = {1,2,3,4}, B = {2,4,6,8} and C = {3,4,5,6}. Find
(i) A∪B 3marks
(ii) A∪C 3marks
(iii) B∪C 3marks
(iv) B∪B 3marks
2a). Discuss Simple and Compound Interest 10marks
2b.) Suppose you invest #2000 at an annual interest rate of 6%. Find your balance at the end of
1st year if interest is compounded; a) Yearly b) Semiannually c) Quarterly d) Monthly
10marks
3a. Define the following with example
(i) Rational Numbers 3marks
(ii) Natural Numbers 3marks
(iii) Prime Numbers 3marks
(iv) Decimals and Real Numbers 3marks
(v) Absolute Value 3marks
3 b. State the basic principles of matrix or algebra 5marks
4. The purchasing department of a big company has analysed the number of orders placed by each of the 5 departments in the company by type as follows: 20marks
Departmental Orders
Type of Order Department
Sales Purchasing Production Accounts Maintenance Total
Consumables 10 12 4 8 4 38
Equipment 1 3 9 1 1 15
Special 0 0 4 1 2 7
Total 11 15 17 10 7 60
An error has been found in one of these orders. What is the probability that the incorrect order:
a) came from maintenance?
b) came from production?
c) came from maintenance or production?
d) came from neither maintenance nor production?
5a. Explain the requirements for Linear Programming 10marks
5b). Discuss the following;
i. Coupon Rate 4marks
ii. Zero Coupon Bonds 4marks
iii. Floating Rate Bonds 2marks
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You can now use you matric number to login as your username and password in a lowercase.
https://elearn.nouedu2.net/login/
Note that you are to change your passw...
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