I'IHITIIBIH UNIVERSITY

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1 " I'IHITIIBIH UNIVERSITY OF SCIEI'ICE HI'ID TECHI'IOLOGY Faculty of Health and Applied Sciences Depatment of Mathematics and Statistics QUALIFICATION: Bachelo of Technology: Accounting and Finance, Advanced Diploma in the Theoy of Accounting, Bachelo of Accounting and Diploma in Accounting and Finance QUALIFICATION CODE: 23BACF ;07BACP; 06BDAF; 07ADTA LEVEL: 5 COURSE: QUANTITATIVE METHODS COURSE CODE: QTM511$ SESSION: July 2017 PAPER: THEORY DURATION: 3Hous MARKS: 100 SECOND OPPORTUNITY EXAMINATION QUESTION PAPER EXAMINER(S) M. F Ndinodiva; Ms. S Mwewa; Ms. Y Shaanika; D. I Ajibola; M. D Ntiampeba MODERATOR: M. 1.] Swatz INSTRUCTIONS 1. Answe ALL the questions. 2. Wite clealy and neatly. 3. Numbe the answes clealy. PERMISSIBLE MATERIALS 1. Non-Pogammable Calculato without the cove ATTACHMENTS 2. Fomula Sheet THIS QUESTION PAPER CONSISTS OF 5 PAGES INCLUDING THIS FRONT PAGE (Excluding the fomula sheet)

2 Question 1(37 maksl 1.1 You helped you fiend NSSOO and etuned N$650 afte thee yeas. Find the ate at which N$500 was eaning the simple inteest? [4] 1.2 A total of $6,000 is invested into two simple inteest accounts. The annual simple inteest ate on one account is 9%; on the second account, the annual simple inteest ate is 6%. How much should be invested in each account so that both accounts ean the same amount of annual inteest? [6] Jane boowed NS on Januay 1, 2017 fo he egistation at the Namibia univesity of science and technology and ageed to epay the money on July 1, Two months afte the money was boowed, the cedito ageed to settle the debt by discounting it at the simple inteest ate of 9% p.a. How much did the cedito eceive when he discounted the debt if money woth 8% inteest p.a? [6] If you stat a bank account with $10,000 and you bank compounds the inteest quately inteest ate of 8% p.a, how much money do you have at the yea's end? (Assume that you do not add o withdaw any money to/fom the account) [5] at an 1.5 Kasmalle boowed $80000 fom a bank to help finance the puchase of a house. The bank chages inteest at a ate of 9% pe yea on the unpaid balance, with inteest computations made at the end of each month. Kasmalle have ageed to epay the loan in equal monthly lnstalments ove 30 yeas.how much should each payment be if the loan is to be amotized at the end of the tem? [5] 1.6 A sum of N560 has been deposited at the end of each month fo the past 20 yeas into special fund. In the initial 10 yeas the fund is paying inteest at 6% p.a compounded monthly. And in the last 10 yeas the fund is paying 12% inteest p.a compounded monthly. a Calculate the total accumulated value of this annuity at the end of its 20 yea tem. [11]

3 Question 2142 Maks[ 2.1 Find the solution of the following system: [7] 2x 3y-l y z+3t1 7z t3 2t8 2.2 Solve the following inequality [5] 4x+3 sis x What is meant when two events ae said to be "statistically independent? [2] 2.4 If P(A) 0.26,P(B) O.35,and P(A o B) 0.47 what is the P(A and B)? [2] 2.5 What is the tem used to descibe two events that cannot occu simultaneously in a single tial of an expeiment? [2] 2.6 If P(B) 0.24,P(A/B) 0.75,andP(A) 0.45 what is the P(A o B)? [3] 2.7 A fish shop owne ecoded the daily tunove of his outlet fo 300 tading days as shown in the fequency table. Daily tunove Numbe of days 500-< < < < < < Compute the standad deviation of the daily tunove of the fish shop. [9] 3.2 Compute the modal daily tunove of the fish shop. [4] 3.3 Find the maximum daily tunove associated with the slowest 25% of tading days. [4]

4 3.4 What daily tunove sepaates the busiest 25% of tading days fom the est? (Show all calculations). [4] Question 3 (21 Maks! 3.1 The quately umbella sales (in$ millions) of a lage company yeas. These data ae listed hee have been ecoded fo fou Yea Quate Sales uu #WNH-bWNH-bWNH-hWNI l Use the method of least squaes fom egession analysis to detemine the tend line of best fit. Use the zeo sum method fo coding. [10] Using the tend line you poduced in 3.1.1, estimate the tend value of the time seies fo Quate 2 of yea 6. [2]

5 A pinting company that specializes in the business stationay (i.e. letteheads, business cads, epots, invitations) has ecoded its usage and cost of pinte catidges fo its fou diffeent pintes. The pinte catidges ae classified as H021, HQ25, H026, and H Catidge Unit pice Quantity Unity pice Quantity used used HQ HQ H H Use 2008 as the base peiod to compute and intepet the pice elative fo 2010 fo HQ26. [2] Constuct a quantity index to eflect the oveall change in quantities of pinte catidges used fo the peiod 2008 Use the Paasche appoach. Intepet you index. [5] Calculate the unweighted aggegate pice index fo 2010 on 2008 as base yea. Intepet you index. [2] END OF THE EXAM

6 SUMMARY OF FORMULAE QTM511S JUNE/July EXAM Simple Inteest: 1 PH Compound Inteest: A P(1+i) Effective Inteest Rate 7 eff 1 t Effective Inteest Rate eff [1+%) 1 Discount P A(1 dt) D Adt Simple discount Rate d 1 + t Nominal Inteest Rate V m[(1+7 eff) " i 4] Odinay Annuity Cetain [1+L] 1 SnR m L m Odinay Annuity Cetain 1(1+Ljn A :12 m " m Peiod t g n- g g P 10 2 mlog(1+ ] m log[l+ j m 1S :2; N l lo I +1) log( 1 ' : fo N22 : g(r R) n I log(1+i) log(1+i)

7 nzw-zxzj/ Paasche P Measues of Cental Tendency Mean x 2 ;fi Median Md [Md +h fl-fo oe M0lM0+h, M d i( Measues of dispesion )i 2 2 2m 0 Vaiance : Vaiance coefficient of vaiation 2 n 1 n 1 Standad deviationxi vaiance (g) x x 100 Index Numbes Laspeyes pice index 2(BXQ )X100% 2(Pbeb) pice index Z(P XQ )X100% Z ( b X I ) Laspeyes quantity index 2(. P b Z(PI;XQ17) x Q') x 100% Paasche quantity index Mx100% ZUibe) Time Seies y a+bx b 2%be a anz (Zx)2 n Pobability P(AUB) P(A)+P(B) P(AnB) P(AnB) P(A)P(B) P(AnB) P(B]A) PM)