https://file.aiquickdraw.com/mathbot/file/17273438793842t2i6a6z.docx

menggunakan rumus (Bn = n.b.Mo) dan ( b Bo/ Mo × 100% )  dan ( Mn = Mo ( 1+ n-b) (Mn = Mo+ Bn) ( Mn= Mo (1+i)n  dan rumus (Nt = mn/1 +i) (Nt = Mn × (1+i)-n

The formulas you provided seem to be related to finance and simple interest, as seen in the uploaded document. Let's break them down and relate them to the problems presented:

### Key Formulas:

1. **\( B_n = n \cdot b \cdot M_o \)**  
   This could be a formula for the interest over a period, where:
   - \( B_n \) = total interest over \( n \) periods,
   - \( n \) = number of periods (e.g., years, months),
   - \( b \) = interest rate per period,
   - \( M_o \) = initial amount (principal).

2. **\( b = \frac{B_0}{M_o} \times 100\% \)**  
   This could be the formula to find the interest rate based on the initial principal and the interest amount, where:
   - \( B_0 \) = total interest paid,
   - \( M_o \) = initial amount,
   - \( b \) = interest rate.

3. **\( M_n = M_o(1 + n \cdot b) \)**  
   This seems to be the formula for finding the final amount after interest is added, where:
   - \( M_n \) = final amount after interest,
   - \( M_o \) = initial amount,
   - \( n \) = number of periods,
   - \( b \) = interest rate per period.

4. **\( M_n = M_o(1 + i)^n \)**  
   This is the formula for compound interest, where:
   - \( i \) = interest rate,
   - \( n \) = number of periods.

5. **\( N_t = \frac{M_n}{1 + i} \)**  
   This formula is for calculating the present value, where:
   - \( N_t \) = present value,
   - \( M_n \) = future value,
   - \( i \) = interest rate.

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### Example from Your Document:
For one of the example problems:
- "Pak Radit menabung uang di bank sebesar Rp. 9.000.000 dengan bunga 10 % per tahun setelah jangka waktu tertentu uang Pak Radit menjadi Rp. 10. 125.000. Berapa lama (bulan) uang Pak Radit tersimpan di bank tersebut."

We can use the formula \( M_n = M_o(1 + n \cdot b) \).

Given:
- \( M_o = 9,000,000 \),
- \( M_n = 10,125,000 \),
- \( b = 0.10 \) per year (10%).

Now, solve for \( n \), the time period.

\[
M_n = M_o(1 + n \cdot b)
\]

\[
10,125,000 = 9,000,000(1 + n \cdot 0.10)
\]

Simplifying this will give us the value of \( n \).

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Would you like a more detailed explanation of this problem, or should I help with other examples? Here are five related questions you could explore:

1. How do you calculate compound interest using these formulas?
2. What is the difference between simple interest and compound interest?
3. How does the length of time affect the total interest earned or paid?
4. How can the interest rate be derived from the total amount of interest paid?
5. What happens if interest is compounded monthly instead of annually?

**Tip:** Always check if the interest is compounded or simple before selecting the correct formula.

menggunakan rumus (Bn = n.b.Mo) dan (b = Bo/Mo × 100%) dan (Mn = Mo (1+ n.b)) (Mn = Mo+ Bn) (Mn = Mo (1+i)^n dan rumus (Nt = Mn/1 + i) (Nt = Mn × (1+i)^-n)

Explore key financial formulas such as simple interest (Bn = n.b.Mo), compound interest (Mn = Mo(1+i)^n), and present value calculations (Nt = Mn/(1+i)). Learn how to apply these formulas in practical finance problems, like calculating interest rates, future amounts, and loan payments. Suitable for high school students.

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