DSC1630 Assignment 1 (COMPLETE ANSWERS) Semester 1 2026 - DUE 13 March 2026; 100% Correct solutions and explanations.

DSC1630 Assignment 1 (COMPLETE ANSWERS) Semester 1 2026 - DUE 13 March 2026; 100% Correct solutions and explanations. Question 1 Hassim deposits R900 into a savings account paying 6,5% interest per year, compounded quarterly. After three and a half years he withdraws R1 000 from the account and deposits it into a second account paying 11% simple interest per year. How much is the total amount accrued in the first account two years after withdrawing the R1 000? The correct answer, rounded to the nearest rand, is Refer to Paragraph 2.2 on timelines in the study material. Question 2 Hassim deposits R900 into a savings account paying 6,5% interest per year, compounded quarterly. After three and a half years he withdraws R1 000 from the account and deposits it into a second account paying 11% simple interest per year. A number of years after Kariem deposited the R1 000 into the second account, the accrued amount in the second account is R1 605. The time (correct to two decimal places) the money was invested for is Refer to Paragraph 2.2 on timelines in the study material. Question 3 An effective rate of 29,61% corresponds to a nominal rate, compounded weekly, of This is a conversion between two types of interest rates since one is asked to express the nominal interest rate in terms of the effective interest rate. See hints numbers 3.1 and 3.2 above. Question 4 An investment of R20 000 accumulated to R45 200. If the applicable simple interest rate is 12% per year, then the time under consideration is See hints 3.1 above. Question 5 Anna won R165 000 and decided to deposit 65% of this amount in an account earning 8,25% interest per year, compounded every four months. The accumulated amount after five years is Refer to Paragraph 2.2 on timelines in the study material, also refer to hint 2 above. Question 6 Calculate the present value of a loan of