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**Problem:**
Mr. Zack deposited RM10,000 at the beginning of the year in Bank Midas which offers a 5% interest rate compounded every 3 months. How much is the dividend received at the end of the year if the interest is compounded every 3 months?

**Solution:**
To solve this problem, we can use the formula for compound interest:

\[
A = P \left(1 + \frac{r}{n}\right)^{nt}
\]

Where:
- \( A \) is the amount of money accumulated after \( n \) years, including interest.
- \( P \) is the principal amount (the initial money that Zack deposited), RM 10,000.
- \( r \) is the annual interest rate (in decimal form), 5% or 0.05.
- \( n \) is the number of times that interest is compounded per year, which is 4 times in this case (every 3 months).
- \( t \) is the time the money is invested for, in years, which is 1 year.

Substitute the values into the formula:

\[
A = 10,000 \left(1 + \frac{0.05}{4}\right)^{4 \times 1}
\]

\[
A = 10,000 \left(1 + 0.0125\right)^4
\]

\[
A = 10,000 \left(1.0125\right)^4
\]

Calculating \( \left(1.0125\right)^4 \):

\[
A \approx 10,000 \times 1.050945
\]

\[
A \approx 10,509.45
\]

The amount after one year is approximately RM 10,509.45. 

To find the interest (dividend) earned:

\[
\text{Interest} = A - P
\]

\[
\text{Interest} \approx 10,509.45 - 10,000
\]

\[
\text{Interest} \approx RM 509.45
\]

**Final Answer:**
The dividend received at the end of the year is approximately **RM 509.45**.

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Would you like any further details or explanations on this problem? 

Here are 5 related questions you might consider:

1. How would the interest change if the interest were compounded monthly instead of quarterly?
2. What would happen if the interest rate were increased to 6% per annum?
3. How would the amount change if Mr. Zack left his money in the bank for 2 years?
4. What is the difference between simple interest and compound interest in this scenario?
5. How would you calculate the future value if Mr. Zack makes additional deposits every quarter?

**Tip:** When dealing with compound interest problems, remember to carefully identify the compounding frequency as it directly impacts the final amount accumulated.

Learn how to solve a compound interest problem involving RM10,000 deposited at 5% interest compounded quarterly. Detailed step-by-step solution provided, covering the compound interest formula and exponential growth. Suitable for students in Grades 10-12.

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