https://file.aiquickdraw.com/mathbot/file/17299829338546kem5w7z.jpg

To solve this, I’ll use the formula for simple interest and compound interest based on the type of interest rate implied. Let’s walk through each row in detail.

### Simple Interest Formula:
For the cases with **simple interest**, the formula is:
\[
A = P \times (1 + r \times t)
\]
where:
- $ A $ = Future/Maturity Value
- $ P $ = Principal/Present Value
- $ r $ = Interest Rate per period
- $ t $ = Time in periods

The **Interest Amount** can be calculated by subtracting the principal from the maturity value:
\[
\text{Interest Amount} = A - P
\]

### Analysis of Each Row:

#### Row 1:
- **Given:** $ P = 16,225.00 $, $ r = 0.4\% $ per month, $ t = 6 $ months
- **Objective:** Future Value ($ A $)

\[
A = 16,225 \times (1 + 0.004 \times 6) = 16,225 \times (1 + 0.024) = 16,225 \times 1.024 = 16,616.40
\]
The **Future Value** should be **$16,616.40**.

---

#### Row 2:
- **Given:** $ P = 61,910 $, $ r = 10\% $ per year, $ t = 4 $ months
- **Objective:** Interest Amount

Assuming simple interest for 4 months (1/3 of a year):
\[
A = 61,910 \times (1 + 0.1 \times \frac{4}{12}) = 61,910 \times (1 + 0.0333) = 61,910 \times 1.0333 \approx 63,978.30
\]
The **Interest Amount** would be **$63,978.30 - 61,910 = 2,068.30**.

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Fill in the missing values in the table with the given data on interest amounts, principal values, interest rates, time, and future values.

Learn how to calculate missing values in a table involving interest amounts, principal, interest rate, time, and maturity value using simple and compound interest formulas. Suitable for high school students in Grades 10-12.

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