https://file.aiquickdraw.com/mathbot/file/1729144690193qpaht7m8.jpg

The question in the image reads:

"Ayu menabung uang di bank sebesar Rp 1.400.000 dengan suku bunga tunggal 7,5% per tahun. Besar tabungan Ayu setelah menabung selama 2 tahun 6 bulan adalah?"

This translates to:

"Ayu deposits Rp 1,400,000 in the bank with a simple interest rate of 7.5% per year. What is the total amount of her savings after 2 years and 6 months?"

### Solution:

To calculate simple interest, we use the formula:

\[
A = P(1 + rt)
\]

Where:
- \(A\) = total amount (principal + interest)
- \(P\) = principal (initial deposit) = Rp 1,400,000
- \(r\) = annual interest rate (7.5% = 0.075)
- \(t\) = time in years (2 years 6 months = 2.5 years)

Substitute the values:

\[
A = 1,400,000 \times (1 + 0.075 \times 2.5)
\]
\[
A = 1,400,000 \times (1 + 0.1875)
\]
\[
A = 1,400,000 \times 1.1875
\]
\[
A = 1,662,500
\]

So, after 2 years and 6 months, Ayu’s total savings will be **Rp 1,662,500**.

---

Do you want any more details or have any questions about this?

Here are 5 related questions:
1. How is the simple interest formula derived?
2. What is the difference between simple interest and compound interest?
3. If the interest was compounded annually, how would the calculation change?
4. How much interest did Ayu earn over the 2 years and 6 months?
5. What if the interest rate was higher, say 10% per year? What would her savings be?

**Tip:** Always verify the time period—convert months to a fraction of a year when dealing with non-integer periods.

Ayu menabung uang di bank sebesar Rp 1.400.000 dengan suku bunga tunggal 7,5% per tahun. Besar tabungan Ayu setelah menabung selama 2 tahun 6 bulan adalah?

Learn how to calculate the total savings for Ayu after depositing Rp 1,400,000 in the bank at a 7.5% simple interest rate per year for 2 years and 6 months. Includes a detailed step-by-step solution with the formula A = P(1 + rt).

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