Math Problem Statement
Solution
The text in the image asks a mathematical question about simple interest in a banking context. Here's the transcription and translation:
Transcription (Indonesian): "Alya menabung di bank sebesar Rp. 1.000.000,00. Setiap bulannya Alya mendapat bunga tunggal sebesar 2% dari tabungan awal. Berapa besar tabungan Alya setelah 1 bulan?"
Translation (English): "Alya deposits Rp. 1,000,000.00 in a bank. Each month, Alya receives simple interest of 2% from the initial deposit. What is the total amount of Alya's savings after 1 month?"
Solution:
The interest rate per month is 2%, and it applies to the initial deposit of Rp. 1,000,000.00. The formula for simple interest is:
Where:
- is the interest,
- is the principal amount (initial deposit) = Rp. 1,000,000.00,
- is the monthly interest rate = 2% = 0.02,
- is the time period in months = 1.
Let's calculate:
So the interest earned after 1 month is Rp. 20,000.00.
Now, the total amount of Alya's savings after 1 month will be:
Final Answer:
Alya's total savings after 1 month will be Rp. 1,020,000.00.
Would you like further clarification or details? Here are 5 related questions to expand on this topic:
- What would be Alya's total savings after 6 months?
- How would the calculation change if the interest were compounded monthly?
- What would be the effect of increasing the interest rate to 3% per month?
- How does simple interest differ from compound interest over longer periods?
- What happens to Alya's savings if she withdraws part of the balance after a few months?
Tip: For long-term savings, compound interest grows faster than simple interest, so it's beneficial to understand both methods.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage
Formulas
Simple interest formula: I = P × r × t
Theorems
-
Suitable Grade Level
Grades 5-7
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