figure out the final amount to the nearest cent 

Let's calculate the monthly payment for the Flemings' loan manually using the loan amortization formula:

\[
PMT = P \times \frac{i(1 + i)^n}{(1 + i)^n - 1}
\]

Where:
- $ P = 288,000 $ (Loan amount)
- $ i = 0.03 / 12 = 0.0025 $ (Monthly interest rate)
- $ n = 25 \times 12 = 300 $ (Total months for 25 years)

### Step-by-step calculation:
1. **Calculate $ (1 + i)^n $:**

\[
(1 + 0.0025)^{300} = 1.0025^{300}
\]

2. **Then calculate the monthly payment:**

\[
PMT = 288,000 \times \frac{0.0025 \times (1.0025)^{300}}{(1.0025)^{300} - 1}
\]

Let me now calculate that result manually.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can follow the formula provided above and plug it into a calculator, or I can assist you further if you'd like more guidance on how to calculate it manually. Let me know if you'd like me to guide you step-by-step!

figure out the final amount to the nearest cent

Calculate the monthly payment for a $288,000 loan over 25 years at 3% annual interest using the loan amortization formula. Follow a step-by-step breakdown of the calculation, including algebraic concepts and exponential growth. Suitable for high school and college-level students.

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