Math Problem Statement

suatu pinjaman akan dilunasi dengan sistem anuitas bulanan sebesar rp.250.000,00. jika angsuran pertamanya rp.22.500,00 besar bunga pertama adalah

suatu pinjaman akan dilunasi dengan sistem anuitas bulanan sebesar rp.250.000,00. jika angsuran pertamanya rp.22.500,00 besar bunga pertama adalah

Solution

The problem asks for the first interest payment of a loan being paid off with a monthly annuity. Given the monthly annuity is Rp250,000.00 and the first payment (principal) is Rp22,500.00, we can calculate the interest portion.

Key information:

  • Monthly annuity: Rp250,000.00
  • First principal payment: Rp22,500.00

Formula for the interest portion:

Interest (I)=Total Payment (A)Principal Payment (P)\text{Interest (I)} = \text{Total Payment (A)} - \text{Principal Payment (P)}

Substituting the values:

I=250,00022,500=227,500I = 250,000 - 22,500 = 227,500

Thus, the first interest payment is Rp227,500.00.

Would you like more details on annuity calculations or further clarification?


Here are 5 related questions:

  1. What is the formula for calculating the total loan amount in an annuity system?
  2. How does the interest change in subsequent payments of an annuity?
  3. What is the effect of increasing the interest rate on the annuity payments?
  4. Can annuities be used for other financial products besides loans?
  5. How do we calculate the present value of an annuity?

Tip: In annuity systems, the interest portion decreases over time, while the principal portion increases with each payment.

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Math Problem Analysis

Mathematical Concepts

Annuities
Interest Calculation
Loan Amortization

Formulas

Interest = Total Payment - Principal Payment

Theorems

Annuity Theorem

Suitable Grade Level

Grades 10-12