Math Problem Statement
Solution
The question presented in the image is about calculating the final amount of money using the simple interest formula, applied to three different initial amounts deposited in different banks, with varying interest rates and time periods.
Let's break it down step by step.
Simple Interest Formula:
Where:
- = Final amount (modal akhir)
- = Principal amount (modal awal)
- = Annual interest rate (suku bunga per tahun)
- = Time period in years (jangka waktu)
Now, let’s calculate for each scenario based on the provided data.
1. First case:
- Principal (P) = 30,000,000
- Rate (r) = 3% per year = 0.03
- Time (t) = 6 years
- Final amount (A) = 30,000,000 (already given)
2. Second case:
- Principal (P) = 25,000,000
- Rate (r) = 2.5% per year = 0.025
- Time (t) = 5 years
Let's calculate the final amount:
3. Third case:
- Principal (P) = 40,000,000
- Rate (r) = 2% per year = 0.02
- Time (t) = 10 years
- Final amount (A) = 21,000,000 (already given)
I will now calculate the second case using the formula.For the second case:
- The final amount is 28,125,000 Rupiah.
Now the table looks as follows:
Modal Awal (P) | Suku Bunga | Jangka Waktu | Modal Akhir (A) |
---|---|---|---|
30,000,000 | 3%/tahun | 6 tahun | 30,000,000 |
25,000,000 | 2.5%/tahun | 5 tahun | 28,125,000 |
40,000,000 | 2%/tahun | 10 tahun | 21,000,000 |
Would you like further clarification, or have any other questions?
Here are five related questions to expand the topic:
- How would compound interest affect the final amounts in these cases?
- What is the difference between simple and compound interest formulas?
- How does changing the interest rate impact the total interest earned over time?
- Can you calculate the interest amount earned separately from the final amount?
- What happens if the time period is halved or doubled in these cases?
Tip: Always check if the interest is simple or compound when calculating investments, as compound interest grows faster over time.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage
Linear Growth
Formulas
A = P + (P × r × t)
Theorems
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Suitable Grade Level
Grades 9-11