6.1 Determine the equation of . (4) 6.2 State the range of . (2) 6.3 Calculate the value of if . (2) 6.4 Given , determine the minimum distance between the two arms of the hyperbola. (3) 6.5 Determine the equation of , where is obtained by reflecting in the line . (4) [15] QUESTION 7 A credit card company charges 12% interest rate per year, compounded every 6 months. What annual effective rate does the company charge? (2) Hylton wants to buy a Mustang 5.0 GT Convertible 6AT for R935 900. He will take out a loan which will be repaid in monthly instalments of R21 294,60. 7.2.1 Determine how many instalments he needs to make to repay the loan in full if the bank offered him a rate of 13% per annum compounded monthly. (4) 7.2.2 After making his 50th payment Hylton wishes to settle the loan. What is the outstanding balance of the loan at this point? (5) Hylton wants to replace his Mustang after 5 years. The Mustang will depreciate at 6,5% per annum on a reducing balance. The inflation rate is expected to be 4,5% per annum over the next 5 years. Hylton will be able to invest money into a sinking fund paying 6% per annum compounded monthly. 7.2.3 Calculate the depreciated value of the Mustang in 5 years time. (2) 7.2.4 Hylton is going to trade in his old Mustang in 5 years time. Determine the monthly amount he must pay into a sinking fund in order to be able to purchase a replacement Mustang. (4) [17]
6.1 Determine the equation of . (4) 6.2 State the range of . (2) 6.3 Calculate the value of if . (2) 6.4 Given , determine the minimum distance between the two arms of the hyperbola. (3) 6.5 Determine the equation of , where is obtained by reflecting in the line . (4) [15] QUESTION 7 A credit card company charges 12% interest rate per year, compounded every 6 months. What annual effective rate does the company charge? (2) Hylton wants to buy a Mustang 5.0 GT Convertible 6AT for R935 900. He will take out a loan which will be repaid in monthly instalments of R21 294,60. 7.2.1 Determine how many instalments he needs to make to repay the loan in full if the bank offered him a rate of 13% per annum compounded monthly. (4) 7.2.2 After making his 50th payment Hylton wishes to settle the loan. What is the outstanding balance of the loan at this point? (5) Hylton wants to replace his Mustang after 5 years. The Mustang will depreciate at 6,5% per annum on a reducing balance. The inflation rate is expected to be 4,5% per annum over the next 5 years. Hylton will be able to invest money into a sinking fund paying 6% per annum compounded monthly. 7.2.3 Calculate the depreciated value of the Mustang in 5 years time. (2) 7.2.4 Hylton is going to trade in his old Mustang in 5 years time. Determine the monthly amount he must pay into a sinking fund in order to be able to purchase a replacement Mustang. (4) [17]
Gr%2012%20Sept%20P1.docx