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P11 rest to follow, thanks. If possible, due within 72 hours. Practical 11 - step by step please 1. A R1 000 is deposited inh

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P11 rest to follow, thanks. If possible, due within 72 hours.

image text in transcribed Practical 11 - step by step please 1. A R1 000 is deposited inh a bank in May and withdrawn in October the same year. Find the future value if the interest rate is 10% simple interest. 2.. An amount was deposited into an account paying interest of 14% per annum effective for 22 months compounded monthly. At the end of the period the account was worth R20 000. What is the amount deposited? 3. A company will need R20 000 and R15 000, 6 years and 8 years from now, respectively to fund a new business venture. They made provision for these expenses by investing R24 745.60 in a fund that earns 10% per annum on the first amount and X% per annum, compounded semi-annually, on the second amount 3.1. 3.2. What is the present value of the 6 year investment? Find the value of the interest rate X in the 8 year investment. 4. Sandra buys a new outfit, together with accessories at Edgars worth R 849. She takes the items on her Edgars account which she will repay over a term of 1 year. What is her monthly payment if interest is 23% per annum compounded monthly. 5. Andrew buys a new TV set for R 3 000 at Game. In the 7th month Andrew started repaying the account for further 12 months. If the interest rate is 23% per annum, compounded monthly, what is the value of the monthly repayments? 6. R2 000 is deposited into an account for n years at an interest rate of 16% per annum compounded quarterly. After two years the interest rate changes to 13% per annum, compounded monthly. At the end of the term the value of the investment is R4 200. Calculate the value of n. 7. What amount must be invested now at 17.5% simple interest so that it accumulates to R50 in 169 days? 8. If a borrower can afford to repay a home loan by making 300 monthly payments of R986.33, how much can be borrowed at 18% per annum compounded monthly? / 9. Find the amount of the annuity where R1000 is invested each year at 7% per annum for 4 years. 10. Mr. Happy won the jackpot at the casino. He decides to invest the money at 13% per annum compounded half yearly for the following 10 years. This investment must provide him with an income of R12000 every 6 months. The payment of the income takes place in advance. What is the original amount Mr. Happy won? 11. Suppose R10000 was deposited into an account on the first day of a compounding period and that interest on the amount during the investment term will be as follows: 10% per annum compounded monthly for the first year, 12.5% per annum compounded quarterly for the second and the third year and 15% per annum thereafter. 12. 2 1 4 11.1 Find the balance in the account after years. 11.2 Find the balance in the account after 5 years. Two friends decide to invest some money. Paul invests R 1 500 every 3 months into a bank that pays 10% p.a. interest every quarter for 15 years. If Peter invests R 3 500 every year into a different bank that pays 15.5% p.a how long will he have to invest (in years) in order to accumulate at least as much as Paul? Hi, this is the Quiz for the P11 you are working on. Here I only need the correct answer. The T11 file will follow shortly. Question 1 1. What is the answer of question 1 in practical 11? R 1048.98 R 1056.56 R 1032.24 R 1041.67 1 points Question 2 1. What is the answer of question 2 in practical 11? R 16254.6 5 R 14987.2 5 R 15729.1 2 R 17530.8 9 1 points Question 3 1. What is the answer of question 4 in practical 11? R 72.03 R 82.27 R 74.38 R 79.87 1 points Question 4 1. What is the answer of question 5 in practical 11? R 316.29 R 312.16 R 321.85 R 318.45 1 points Question 5 1. What is the answer of question 6 in practical 11? 5.87 years 5.32 years 4.98 years 3.32 years 1 points Question 6 1. What is the answer of question 7 in practical 11? R 44.25 R 42.75 R 46.25 R 48.65 1 points Question 7 1. What is the answer of question 8 in practical 11? R 68003.4 5 R 67002.3 5 R 65000.0 4 R 62035.3 6 1 points Question 8 1. What is the answer of question 10 in practical 11? R 140816.5 2 R 141801.5 2 R 142898.0 5 R 147626.1 2 1 points Question 9 1. What is the answer of question 11.2 in practical 11? R 18687.7 4 R 18264.6 3 R 19028.5 6 R 18888.2 8 1 points Question 10 1. What is the answer of question 12 in practical 11? 19 years 18 years 14 years 16 years P11 and P11 quiz due on 8 May 2016, please. T11 due 10 May 2016 please. EVERYTHING except the P11 quiz STEP-BY-STEP, please. Please upload everything, but only give met the opportunity to pay after T11 (everything) is uploaded, please, in order for me to give the tip, etc. Writing a big test next week, if you can upload asap. Question 1 1. / Find the future value of R100 invested for 1 year at 8% per annum compounded semi-annually. R108.27 R92.46 R108.16 R158.69 None of the preceding 1 points Question 2 1. Find the effective rate of interest per annum equivalent to the nominal interest rate of 8% compounded quarterly. 2% 8.24 % 7.8% 8% 8.22 % 1 points Question 3 1. R2500 is borrowed for 9 months at a interest rate of 10% per annum simple. What amount is due at the end of 9 months? R4750 R21250 R2687. 50 R187.5 0 R2325. 58 1 points Question 4 1. At what annual rate of simple interest should R700 be invested in order to receive an amount of R1000 after a term of 2 years? 0.21 % 15% 1.79 % 21.43 % 9% 1 points Question 5 1. Find the nominal rate of interest compounded semi-annually which is equivalent to an effective rate of 7.6% per annum. 7.46 % 2.46 % 7.74 % 3.8% 15.2 % 1 points Question 6 1. What amount should be invested at 8.75% per annum compounded bi-annually for 4.75 years to amount to R 1 742.31 at the end of the term? R2616.93 R1421.65 R1169.73 R1160.00 none of the above 1 points Question 7 1. At what rate of simple interest will R200 amount to R300 in 5 years? 0.2% 20% 6.67% 10% Geen van die voorafgaande / None of the preceding 1 points Question 8 1. Find the nominal rate of interest per annum compounded monthly, equivalent to the effective interest rate of 13.20% per annum. 12.46% 14.03% 1.10% 1.04% Geen van bogenoemde / none of the above. 1 points Question 9 1. Find the nominal rate of interest compounded monthly which is equivalent to an effective rate of 8.3% per annum. 8.62 % 0.69 % 9% 8% 7% 1 points Question 10 1. Hoe lank sal dit vir R 8 000 neem om op te loop tot R 8 400 teen 10% enkelvoudige rente per jaar? / How long will it take R 8 000 to amount to R 8 400 at 10 % simple interest per annum? 0.4 jaar / years 5 maande / months 6 maande / months 5 jaar/ years 12.917 maande / months 1 points Question 11 1. Bepaal die jaarlikse enkelvoudige rentekoers wat verdien word as 'n bedrag van R 4 000 in 8 jaar groei tot R 6 240. / Determine the annual simple interest rate earned if R 4 000 grows to an amount of R 6 240 in 8 years. 0.07 % 2.8 % 0.045 % 4.5 % 7% 1 points Question 12 1. Bepaal die nominale rentekoers per jaar kwartaalliks saamgestel, ekwivalent aan 'n effektiewe rentekoers van 14.40% per jaar. / Find the nominal rate of interest per annum compounded quarterly, equivalent to the effective interest rate of 14.40% per annum. 13.68% 15.20% 3.6% 3.42% geen van bogenoemde / none of the above. 1 points Question 13 1. Bereken die bedrag rente verdien op R 5 000 wat bel word vir 5 jaar teen 9 % enkelvoudige rentekoers per jaar. / Find the amount of interest earned on R 5 000 invested for 5 years at 9 % per annum simple interest. 5 000.09 R 200 000 R 5 000 R 2 250 R 11 111 1 points Question 14 1. Watter bedrag moet teen 12% per jaar, halfjaarliks saamgestel, bel word, sodat R1500 rente per jaar oploop op die bedrag? / How much must be invested at 12% per annum compounded semi-annually to enable R1500 interest to be drawn per annum? R25000 R12135. 92 R185.40 R37128. 71 R5714.2 9 1 points Question 15 1. 'n Bedrag van R12000 is bel teen 'n nominale koers van 13% per jaar kwartaalliks saamgestel. Wat sal die belegging beloop aan die einde van 'n termyn van 4 jaar? / A sum of R12000 is invested at a nominal rate of 13% per annum compounded quarterly. What will this investment amount to at the end of a term of 4 years? R17614. 16 R92927. 68 R7193.5 1 R13637. 71 R20018. 07 1 points Question 16 1. Bepaal die effektiewe rentekoers per jaar ekwivalent aan 'n nominale rentekoers van 13.80% per jaar maandeliks saamgestel. / Find the effective rate of interest per annum equivalent to the nominal interest rate of 13.80% per annum compounded monthly. 13.00 % 1.15% 1.66% 14.71 % 0.0115 % 1 points Question 17 1. 'n Bedrag van R100 is gedeponeer by 'n finansile instelling vir twee jaar teen 'n rentekoers van 12% per jaar enkelvoudig. Wat is die rente verdien na twee jaar? / An amount of R100 is deposited with a financial institution for two years, at an interest rate of 12% per annum simple interest. What is the interest earned after two years? R24 R12 R124 R100 Geen van die voorafgaande / None of the preceding 1 points Question 18 1. Teen watter enkelvoudige rentekoers moet R9 500.00 bel word ten einde 'n bedrag van R10 150.00 aan die einde van 'n termyn van 3 jaar te ontvang? Kies die regte opsie hieronder / At what annual rate of simple interest should R9 500.00 be invested in order to receive an amount of R10 150.00 after a term of 3 years? Choose the correct option below. 0.19 % 2.28 % 2.23 % 2.13 % 19.00 % 1 points Question 19 1. Mnr. Pain leen R 1 200 by Mnr. Gullible vir 'n tydperk van 4 jaar teen 15 % enkelvoudige rente per jaar. Bereken die bedrag rente op die skuld. / Mr. Pan borrows R 1 200 for a term of 4 years from Mr. Gullible, with interest at 15 % per annum simple. Find the amount of interest on the dept. R 72 000 R 720 R8 640 0 R7 200 1 points Question 20 1. 'n Hoofsom van R1 700.00 is vir 2.5 jaar bel teen 'n koers van 6.5% per jaar kwartaalliks saamgestel. Bepaal die waarde van die belegging aan die einde van die termyn. / A principal of R1 700.00 is invested for 2.5 years at a rate of 6.5% per annum compounded quarterly. Determine what the investment will amount to at the end of the term and how much interest will be earned. R1997.35 R1769.91 R3191.13 R1989.86 geen van bogenoemde / none of the above Practical 11 - step by step please 1. A R1 000 is deposited in a bank in May and withdrawn in October the same year. Find the future value if the interest rate is 10% simple interest. FV = 1000 X (5/12) X (10/100) = 1041.67 2.. An amount was deposited into an account paying interest of 14% per annum effective for 22 months compounded monthly. At the end of the period the account was worth R20 000. What is the amount deposited? FV PV = 3. ( 1+ R ) n k 20000 ( 1+0.14 ) 22 12 =15729.12 A company will need R20 000 and R15 000, 6 years and 8 years from now, respectively to fund a new business venture. They made provision for these expenses by investing R24 745.60 in a fund that earns 10% per annum on the first amount and X% per annum, compounded semi-annually, on the second amount 3.1. What is the present value of the 6 year investment? PV = 3.2. FV 20000 = =11289.48 n ( 1+ R ) ( 1+0. 10 )6 Find the value of the interest rate X in the 8 year investment. Rate = 4. = FV PV ( ) 1 n 1= ( 1 15000 8 1=0.00684=0.684 13456.12 ) Sandra buys a new outfit, together with accessories at Edgars worth R 849. She takes the items on her Edgars account which she will repay over a term of 1 year. What is her monthly payment if interest is 23% per annum compounded monthly. ( rP ) ( 0.23849/12 ) = =79.87 n 12 1 ( 1+ r ) 0.23 EMI = 1 1+ 12 ( 5. ) Andrew buys a new TV set for R 3 000 at Game. In the 7th month Andrew started repaying the account for further 12 months. If the interest rate is 23% per annum, compounded monthly, what is the value of the monthly repayments? The principle after 6 months, P = 3000 X (1+0.23/12)6 = 3362 ( rP ) ( 0.233362/12 ) = =316.29 n 1( 1+ r ) 0.23 12 1 1+ 12 ( EMI = 6. ) R2 000 is deposited into an account for n years at an interest rate of 16% per annum compounded quarterly. After two years the interest rate changes to 13% per annum, compounded monthly. At the end of the term the value of the investment is R4 200. Calculate the value of n. The Amount after 2 years on 16% annum compounded quarterly, P = 2000 X (1+0.16/4)8 = 2734.14 After n - 2 years, i.e. n - 24 months, FV = 4200. Interest rate = 0.13/12 = 0.01083 log n - 24 = 4200 log ( ( FV ) PV 2734.14 ) = =40 log ( 1+r ) log (1+ 0.01083 ) n = 24 + 40 = 64 months = 5.32 years 7. What amount must be invested now at 17.5% simple interest so that it accumulates to R50 in 169 days? PV = 8. If a borrower can afford to repay a home loan by making 300 monthly payments of R986.33, how much can be borrowed at 18% per annum compounded monthly? / EMI = 9. FV 50 = =46.25 rdays 0.175169 1+ 1+ 365 365 ( rP ) ( 0. 18P/12 ) 983.66= P=65,000.04 n 1( 1+ r ) 0. 18 300 1 1+ 18 ( ) Find the amount of the annuity where R1000 is invested each year at 7% per annum for 4 years. FV of annuity = Annuity value X [(1 + r)n - 1]/r = 1000 X [1 + 0.07]4 - 1]/0.07 = 4,439.94 10. Mr. Happy won the jackpot at the casino. He decides to invest the money at 13% per annum compounded half yearly for the following 10 years. This investment must provide him with an income of R12000 every 6 months. The payment of the income takes place in advance. What is the original amount Mr. Happy won? The original amount Mr. Happy won is R 141801.52. 11. Suppose R10000 was deposited into an account on the first day of a compounding period and that interest on the amount during the investment term will be as follows: 10% per annum compounded monthly for the first year, 12.5% per annum compounded quarterly for the second and the third year and 15% per annum thereafter. 11.1 Find the balance in the account after 2 1 4 years. 10000 (1 + 0.10/12)12 (1 + 0.125/4)5 = 12884.55 11.2 Find the balance in the account after 5 years. 10000 (1 + 0.10/12)12 (1 + 0.125/4)8 (1 + 0.15)2 = 18687.74 12. Two friends decide to invest some money. Paul invests R 1 500 every 3 months into a bank that pays 10% p.a. interest every quarter for 15 years. If Peter invests R 3 500 every year into a different bank that pays 15.5% p.a. how long will he have to invest (in years) in order to accumulate at least as much as Paul? He will have to invest 18 years in order to accumulate at least as much as Paul. Extend deadline up to 10th for T11. Hi, this is the Quiz for the P11 you are working on. Here I only need the correct answer. The T11 file will follow shortly. Question 1 1. What is the answer of question 1 in practical 11? R 1048.98 R 1056.56 R 1032.24 R 1041.6 7 1 points Question 2 1. What is the answer of question 2 in practical 11? R 16254.6 5 R 14987.2 5 R 15729.1 2 R 17530.8 9 1 points Question 3 1. What is the answer of question 4 in practical 11? R 72.03 R 82.27 R 74.38 R 79.87 1 points Question 4 1. What is the answer of question 5 in practical 11? R 316.2 9 R 312.16 R 321.85 R 318.45 1 points Question 5 1. What is the answer of question 6 in practical 11? 5.87 years 5.32 years 4.98 years 3.32 years 1 points Question 6 1. What is the answer of question 7 in practical 11? R 44.25 R 42.75 R 46.25 R 48.65 1 points Question 7 1. What is the answer of question 8 in practical 11? R 68003.4 5 R 67002.3 5 R 65000.0 4 R 62035.3 6 1 points Question 8 1. What is the answer of question 10 in practical 11? R 140816.5 2 R 141801. 52 R 142898.0 5 R 147626.1 2 1 points Question 9 1. What is the answer of question 11.2 in practical 11? R 18687.7 4 R 18264.6 3 R 19028.5 6 R 18888.2 8 1 points Question 10 1. What is the answer of question 12 in practical 11? 19 years 18 years 14 years 16 years

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