Question 1194896
To calculate the accrued amount on a fixed deposit of R10,000 invested from 15 March 2021 to 1 July 2023, with interest credited annually on 1 July at an annual rate of 15.5%, follow these steps:

**1. Determine the Investment Period:**

- **Start Date:** 15 March 2021
- **End Date:** 1 July 2023

**2. Calculate the Total Investment Duration:**

- **From 15 March 2021 to 1 July 2023:**

  - **Year 1:** 15 March 2021 to 1 July 2021
    - **Days:** 15 March to 31 March (17 days) + April (30 days) + May (31 days) + June (30 days) + 1 July (1 day) = 109 days

  - **Year 2:** 1 July 2021 to 1 July 2022
    - **Days:** 365 days (non-leap year)

  - **Year 3:** 1 July 2022 to 1 July 2023
    - **Days:** 365 days

  - **Total Days:** 109 + 365 + 365 = 839 days

  - **Total Years:** 839 days ÷ 365 days/year ≈ 2.2986 years

**3. Apply the Compound Interest Formula:**

The compound interest formula is:

\[ A = P \times (1 + r)^t \]

Where:
- \( A \) = Accrued amount
- \( P \) = Principal amount (R10,000)
- \( r \) = Annual interest rate (15.5% or 0.155)
- \( t \) = Time in years (2.2986)

**4. Perform the Calculation:**

\[ A = 10,\!000 \times (1 + 0.155)^{2.2986} \]

First, calculate \( (1 + 0.155) \):

\[ 1 + 0.155 = 1.155 \]

Next, raise 1.155 to the power of 2.2986. Using a calculator:

\[ 1.155^{2.2986} \approx 1.404 \]

Now, multiply by the principal:

\[ A = 10,\!000 \times 1.404 = 14,\!040 \]

**5. Conclusion:**

The accrued amount on the fixed deposit of R10,000, invested from 15 March 2021 to 1 July 2023 at an annual interest rate of 15.5%, is approximately **R14,040**.