The question in the image is in Indonesian. Here is the translation and analysis:

Question: A person saves an initial amount of Rp 50,000,000.00 in a bank with an interest rate of 18% per year. The interest is compounded annually. What is the total amount after 15 years?

To solve this, we can use the compound interest formula:

$A = P(1 + \frac{r}{n})^{nt}$

where:

• $A$ is the amount of money accumulated after $t$ years, including interest.
• $P$ is the principal amount (initial deposit).
• $r$ is the annual interest rate (decimal).
• $n$ is the number of times the interest is compounded per year.
• $t$ is the number of years the money is invested for.

Since interest is compounded annually, $n = 1$, $P = 50,000,000$, $r = 0.18$, and $t = 15$.

Calculation: $A = 50,000,000 \times (1 + \frac{0.18}{1})^{1 \times 15}$ $A = 50,000,000 \times (1.18)^{15}$

Let's compute $(1.18)^{15}$ and then multiply by $50,000,000$ to find the final amount.

Calculating...The total amount after 15 years will be approximately Rp 598,687,394.30.

Would you like further details or have any questions?

Here are some related questions that expand on this concept:

1. How does changing the interest rate affect the final amount in compound interest?
2. What would the final amount be if the interest were compounded semi-annually instead?
3. How does the compound interest formula differ from simple interest calculations?
4. What if the initial investment was doubled? How would that impact the total after 15 years?
5. How can we calculate the amount needed today to reach a specific future goal with compound interest?

Tip: Compounding frequency (annually, semi-annually, etc.) significantly impacts the final amount; more frequent compounding yields higher returns.