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QTM511S - QUANTITATIVE METHODS - 2ND OPP - JULY 2022 |
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p
NAMIBIA UNIVERSITY
OF SCIENCE AND TECHNOLOGY
Faculty of Health, Applied Sciences &Natural Resources
Department of Mathematics and Statistics
QUALIFICATION : Bachelor of Technology : Accounting and Finance, Advanced Diploma in the
Theory of Accounting, Bachelor of Accounting and Diploma in Accounting and Finance
QUALIFICATION CODE: 23BACF ;07BACP;
O6BDAF; 07ADTA
LEVEL: 5
COURSE: QUANTITATIVE METHODS
COURSE CODE: QTM511S
SESSION: July 2022
DURATION: 3 Hours
PAPER: THEORY
MARKS: 100
SUPPLEMENTARY /SECOND OPPORTUNITY EXAMINATION QUESTION PAPER
EXAMINER(S) | Mrs. H.Y. Nkalle; Mrs. A. Sakaria; Dr. J. Ongala; Dr. D. Ntirampeba; Prof. A.S.
Eegunjobi
MODERATOR: | Dr. D.B. Gemechu
INSTRUCTIONS
1. Answer ALL the questions.
2. Write clearly and neatly.
3. Number the answers clearly.
PERMISSIBLE MATERIALS
1. Non-Programmable Calculator without the cover
ATTACHMENTS
2. Formula Sheet
THIS QUESTION PAPER CONSISTS OF 4 PAGES (Including this front page)
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Question 1
A sum of money amounts to NS 9800 after 5 years and NS 12005 after 8 years at the same rate of
simple interest. What is the rate of interest?
[6]
Question 2
Adam needs N$7105.32 to pay for spray painting his BMW. The bank has offered to lend him money
at a discount rate of 15% for 270 days. Calculate the face value of the loan if Adam is to get this
exact amount from the bank.
[3]
Question 3
Anna borrowed N$20 000 at 5% for three and half years. She wants to pay NS8000 on maturity. To
achieve this, she is planning to pay 2000 in 10 months, 5000 in 16 months from now. How much should
she pay in two and half years from now to meet her obligation?
[10]
Question 4
Memanguluko took a loan of N$3000 on 01 January 2008 at 7% p.a. compounded half yearly. Calculate
how much Memanguluko will pay on 20 July 2018.
[5]
Question 5
Joshua paid N$2500 interest on NS$5000 amount after 8 months. What is the nominal interest charged?
If interest is compounded quarterly.
[5]
Question 6
Maria wants to build her house at the village before she retires. She can afford payments of NS3500
per month and can borrow at 0.55% per month over 15 years. How much can she afford to borrow on
a fully redeemable mortgage?
[5]
Question 7
Ketu want to be able to withdraw NS$7000 at the end of five years and withdraw N$4000 at the end of
seven years leaving a zero balance in the account after the last withdrawal. If she can earn a simple
interest of 6% p.a. on her balances, how much must she deposit in two years from now to satisfy her
withdrawal needs?
[3]
Question 8
A compound amount of NS 10 000 is due in 5 years. Determine the equivalent value of the debt in 2
years from now, if money is worth 7% p.a. compounded twice a year.
[5]
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Question 9
Two thousand randomly selected adults were asked whether they have ever shopped on the internet.
The following table gives a two-way classification of the responses
Male(M)
Have
Shopped(H)
400
Have never
Shopped(N)
800
Female(F)
350
450
If one adult is selected at random from these 2000 adults, find the probability that this adult
9.1 Has never shopped on the internet
[2]
9.2 Isa male
[2]
9.3 Has shopped on the Internet given that this adult is a female
[3]
9.4 Is a male or has never shopped on the Internet?
[3]
9.5 Is a male or female
[2]
9.6 Are the events “female” and “have shopped” independent? Explain?
[2]
Question 10
The Namibia Statistical Agency reports on the total units of new privately owned housing started over
a 16-year recent period is given below.
Year (s)
Total Number of Units
2000
1193
2001
1014
2002
1200
2003
1288
2004
1457
2005
1354
2006
1477
2007
1474
2008
1617
2009
1641
2010
1569
2011
1603
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2012
1705
2013
1848
2014
1956
2015
2068
10.1 determine the trend line that best fit the data using the sequential numbering methods, start
x= 1
[9]
10.2 use your best fit to approximate the sales value in 2016, 2017 and 2018
[6]
Question 11
The following table is a frequency table of the scores obtained in a QTM quiz competition.
Scores (Intervals)
10 -< 20
20-< 30
30-< 40
40- <50
50-< 60
Frequency(f)
5
7
10
16
2
Find the:
11.1 Mean score
[3]
11.2 Median score and
[5]
11.3 Mode of score
[5]
Question 12
Solve the following inequality
| _gegee
[8]
4x+3 3 x+5
Question 13
Define the following terminology as applied in index numbers
(a) Index Number
[3]
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End of paper
Total marks: 100
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Formula(s) sheet
[=prt
A= P(1 +7t)
t= forN>2
D = Adt
P = A(1—dt)
D=A-P
A=_ PU +)Ty\\mt
r=—1=ddt
_ or
reff = 1-rt
_ Tr
~ itrt
__ logA-logP
—
ns,
m log (1+)
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_
log2
mlog(1+=)
S, =R |]
U
A, = R[-
paasche = wio t (S P1 X G1) x 100
dviz1(Po X 91)
paasche =
in&i (Ps x a
i=1(P1 X Yo)
x 100
Laspeyers = a.ic =1(n Po exX fJao) x 100
Laspeyers = aa oex 2 x 100
i-1(Po X o)
s2 =
*
i= (%} a x)? _
n-1
i=1 x;? — nx?
n—-1
a
i=1 Fi% ~~ x)? _ BAe — nx?
*
a fl
n—-1
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M=1+4(f\\44-7]
om °fy,t Wh 7h
xh
,__fix=h
"fh -t)t-f)
M,=1y,d +4f{2-2 F |
_ rx
Ds
pc(pBv\\aA)y -= PAP(OA))
p = EMV TUELY
~~ nyx - (*0x)?
gq = oy7y ebty x
nN
p=
yx?
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sy = /s3