https://file.aiquickdraw.com/mathbot/file/17273135919378rd9gk17.jpg

The text in the image appears to be about calculating the principal amount of a loan that will be repaid using a monthly annuity. Here’s the extracted content:

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**Problem Statement:**
"Suatu pinjaman akan dilunasi dengan annuitas bulanan. Besar annuitas Rp950.000,00 dan angsuran pertama Rp740.000,00. Jika diberlakukan suku bunga majemuk 3% per bulan, besar pinjaman tersebut adalah ......."

**Translation (if needed):**
"A loan will be repaid with monthly annuities. The annuity amount is Rp950,000.00 and the first payment is Rp740,000.00. If a 3% monthly compound interest is applied, the loan amount is ........."

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This type of problem involves the calculation of the **present value** (loan amount) of an annuity. 

To calculate the loan amount, the following formula is often used for the **present value of an annuity** under compound interest:

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

Where:
- \( P \) = Loan amount (present value)
- \( A \) = Monthly annuity (Rp950,000)
- \( i \) = Monthly interest rate (3% = 0.03)
- \( n \) = Number of months over which the loan is paid back

However, since this problem mentions that the **first payment** is different (Rp740,000.00), it seems that we need to account for the **decreasing annuity structure**, implying that the monthly payments change after the first installment. We could refine the solution after gathering more specific information like the total number of months.

Would you like me to proceed with this formula, or do you have any clarifications on the structure of the annuity (such as the number of months)?

Suatu pinjaman akan dilunasi dengan anuitas bulanan. Besar anuitas Rp950.000,00 dan angsuran pertama Rp740.000,00. Jika diberlakukan suku bunga majemuk 3% per bulan, besar pinjaman tersebut adalah ........

Solve a loan repayment problem using monthly annuities of Rp950.000 and a first installment of Rp740.000 with 3% compound interest per month. Learn how to calculate the loan amount using the present value of an annuity formula.

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