Question 1193755
**1.1 Simple Interest for Odd Period, Compound Interest for Rest**

* **Calculate the odd period:** 
    * From March 10, 2020, to July 1, 2020, is approximately 3 months.

* **Calculate simple interest for the odd period:**
    * Principal (P) = R10,000
    * Rate (R) = 16.5% per annum = 0.165
    * Time (T) = 3 months = 3/12 years = 0.25 years
    * Simple Interest (SI) = P * R * T = R10,000 * 0.165 * 0.25 = R412.50

* **Calculate the amount after the odd period:**
    * Amount = Principal + Simple Interest = R10,000 + R412.50 = R10,412.50

* **Calculate the remaining period:**
    * From July 1, 2020, to July 1, 2025, is 5 years.

* **Calculate the amount after 5 years with compound interest:**
    * Principal (P) = R10,412.50
    * Rate (R) = 16.5% per annum compounded semi-annually = 0.165 / 2 = 0.0825 per half-year
    * Number of periods (n) = 5 years * 2 periods/year = 10 periods
    * Amount = P * (1 + R)^n = R10,412.50 * (1 + 0.0825)^10 
    * Amount ≈ R23,967.47

**1.2 Fractional Compounding**

* **Calculate the total number of days:**
    * From March 10, 2020, to July 1, 2025, is approximately 1826 days.

* **Calculate the daily interest rate:**
    * Annual interest rate = 16.5% = 0.165
    * Daily interest rate = 0.165 / 365 

* **Calculate the amount with daily compounding:**
    * Amount = P * (1 + (R/365))^N 
    * Amount = R10,000 * (1 + (0.165/365))^1826
    * Amount ≈ R24,178.12

**Comparison**

* **Method 1 (Simple + Compound):** R23,967.47
* **Method 2 (Fractional Compounding):** R24,178.12

**Conclusion**

Fractional compounding (daily compounding in this case) results in a slightly higher accumulated amount compared to using simple interest for the odd period and then switching to semi-annual compounding. This is because fractional compounding applies interest more frequently, leading to slightly higher returns.

**Note:**

* This calculation assumes a year has 365 days.
* Slight variations in the exact number of days and rounding may result in minor differences in the final amounts.