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The problem you uploaded asks for the future value of an ordinary annuity, with details provided about regular payments, the interest rate, and compounding period. Here's how we can break it down:

**Given dataThe problem you uploaded asks for the future value of an ordinary annuity, with details provided about regular payments, the interest rate, and compounding period. Here's how we can break it down:

**Given **
- Payment per period $ R = 9,300 $
- Annual interest rate = 6%
- Compounding is **semiannual** (2 times per year)
- The annuity lasts for 4 years.

To calculate the **future value** of the annuity, we'll use the future value formula for an ordinary annuity:

\[
FV = R \times \frac{(1 + i)^n - 1}{i}
\]

Where:
- $ R $ is the regular payment ($9,300),
- $ i $ is the interest rate per compounding period (semiannual interest rate),
- $ n $ is the total number of payments (number of compounding periods).

### Steps:

1. **Determine $ i $:**  
   Since interest is compounded semiannually, the semiannual interest rate is:
   \[
   i = \frac{6\%}{2} = 0.03
   \]

2. **Determine $ n $:**  
   The total number of payments over 4 years with semiannual compounding is:
   \[
   n = 4 \times 2 = 8
   \]

3. **Plug the values into the formula:**  
   \[
   FV = 9,300 \times \frac{(1 + 0.03)^8 - 1}{0.03}
   \]

   \[
   FV = 9,300 \times \frac{(1.03)^8 - 1}{0.03}
   \]

4. **Calculate:**
   \[
   (1.03)^8 = 1.26677
   \]

   \[
   FV = 9,300 \times \frac{1.26677 - 1}{0.03} = 9,300 \times \frac{0.26677}{0.03}
   \]

   \[
   FV = 9,300 \times 8.8923 \approx 82,694.39
   \]

### Final Answer:
The future value of the ordinary annuity is approximately **$82,694.39**.

Would you like to know how much of this value comes from contributions and how much is from interest?

### Related questions:
1. How is the ordinary annuity formula different from the future value of a lump sum?
2. How would the future value change if the payments were made monthly?
3. What is the effect of increasing the interest rate on the future value?
4. How does semiannual compounding affect the future value compared to annual compounding?
5. How can you find the total interest earned from an annuity?

**Tip:** Always check the compounding frequency (semiannual, quarterly, etc.) since it affects the calculation of the interest rate per period.

Find the future value of an ordinary annuity if payments are made in the amount R and interest is compounded as given. R = 9,300; 6% interest compounded semiannually for 4 years.

Learn how to calculate the future value of an ordinary annuity with $9,300 payments, 6% interest compounded semiannually over 4 years. Includes step-by-step solution using annuity formulas.

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