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The problem in the image asks to find the total savings of Adrian Mahesa after 20 years, given the following information:

- Adrian deposits Rp 1,000,000.00 at the end of each year.
- The bank provides a compound interest rate of 4% per year.
- The savings period is 20 years.

This is a case of compound interest with regular deposits (annuity). To calculate the total savings with regular contributions under compound interest, the following formula for the future value of an annuity is used:

\[
A = P \times \frac{(1 + r)^n - 1}{r}
\]

Where:
- \(A\) = future value of the annuity (total savings after 20 years),
- \(P\) = annual deposit (Rp 1,000,000),
- \(r\) = annual interest rate (4% or 0.04),
- \(n\) = number of years (20 years).

Now I will calculate the total savings using this formula.The total savings of Adrian Mahesa after 20 years, with annual deposits of Rp 1,000,000 and a 4% compound interest rate, is approximately Rp 29,778,079.

Would you like more details or have any questions? 

Here are 5 related questions to expand on this:

1. What is the difference between simple interest and compound interest?
2. How would the result change if Adrian deposited the money monthly instead of annually?
3. How does the interest rate affect the future value of the savings?
4. Can you explain the formula for the future value of an annuity in more detail?
5. What if the interest rate was compounded semi-annually instead of annually?

**Tip:** Compound interest grows faster because it earns interest on both the initial principal and the accumulated interest over previous periods.

Setiap akhir tahun, Adrian Mahesa menyimpan uang di sebuah bank sebesar Rp1.000.000,00 selama 20 tahun. Jika bank tersebut memberikan bunga majemuk 4% per tahun, maka jumlah simpanan Adrian Mahesa di bank tersebut adalah...

Find the total savings of Adrian Mahesa after 20 years with regular annual deposits of Rp 1,000,000 and a compound interest rate of 4% per year. This compound interest problem demonstrates how to calculate future value using the annuity formula. Suitable for high school students.

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