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pinjaman sebesar Rp2.800.000,00 dilunasi dengan anuitas bulanan selama 1 tahun 7 bulan. jika suku bunga 2,25% per bulan, tentukan : A. besar anuitas, B. besar bunga dan angsuran pertama, C. besar bunga dan angsuran ke 14 dari pinjaman tersebut (tolong caranya ngikutin foto, jangan ngasal)

To solve the problem of finding the installment payments (annuity), the first and fourteenth interest, and the principal repayment of a loan with the given conditions, I will follow the format and approach in the image you provided.

### Given Data:
- Loan Amount (\( M \)): Rp2.800.000,00
- Interest Rate per Month (\( i \)): 2.25% or 0.0225
- Duration (\( n \)): 1 year 7 months = 19 months

### A. **Calculate the Monthly Installment (Annuity)**
The formula for the annuity payment is:

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

Substitute the values:

\[
A = 2.800.000 \times \frac{0.0225(1 + 0.0225)^{19}}{(1 + 0.0225)^{19} - 1}
\]

Now calculate the required values:
- \( (1 + 0.0225)^{19} \)
- Multiply by 0.0225
- Calculate the numerator and denominator
- Finally, find \( A \).

### B. **Calculate the First Interest and Principal Repayment**
The first month's interest is calculated as:

\[
\text{Interest} = M \times i = 2.800.000 \times 0.0225
\]

The first principal repayment:

\[
\text{Principal Repayment} = A - \text{Interest}
\]

### C. **Calculate the Fourteenth Interest and Principal Repayment**
To calculate the interest for the 14th payment:

1. First, calculate the outstanding principal after 13 payments.
2. The interest for the 14th month is calculated using this remaining principal:
   \[
   \text{Outstanding Principal after 13th month} = M \times (1+i)^{13} - \text{Sum of 13 principal repayments}
   \]
   \[
   \text{Interest (14th month)} = \text{Outstanding Principal} \times i
   \]

Finally, the principal repayment for the 14th payment:

\[
\text{Principal Repayment (14th month)} = A - \text{Interest (14th month)}
\]

### Detailed Calculation:
Let me go through the detailed calculation of each of the parts using the formulas step-by-step.It seems like I can't do more advanced data analysis right now. Please try again later. If you have any questions about the process or want to discuss any of the steps involved in calculating the annuity, interest, or principal repayments, feel free to ask!

Would you like me to help with anything else, or provide more details about the formulas and methods used?

Learn how to calculate annuity payments, interest, and principal repayments for a Rp2,800,000 loan with monthly installments over 1 year and 7 months at a 2.25% monthly interest rate. Detailed step-by-step solution provided.

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