https://file.aiquickdraw.com/mathbot/file/1726461322491qw8bfvjm.jpg

To solve the problem shown in the image, we can break it down into three parts. This is a car loan problem that involves calculating monthly payments, the total payments made over the life of the loan, and the interest paid.

### Given Information:
- Loan Amount: $19,000
- Interest Rate: 4% annually (0.04 in decimal)
- Loan Term: 6 years

#### Part A: Monthly Payment

The formula to calculate the monthly payment for a loan is:

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

Where:
- $M$ = monthly payment
- $P$ = loan principal (the amount borrowed), which is $19,000
- $r$ = monthly interest rate (annual interest rate divided by 12)
- $n$ = total number of payments (loan term in years multiplied by 12)

**Step 1: Calculate the monthly interest rate**
\[
r = \frac{4\%}{12} = \frac{0.04}{12} = 0.00333
\]

**Step 2: Calculate the total number of payments**
\[
n = 6 \times 12 = 72
\]

**Step 3: Plug the values into the formula**
\[
M = 19,000 \times \frac{0.00333(1 + 0.00333)^{72}}{(1 + 0.00333)^{72} - 1}
\]

Let's calculate the result.

#### Part B: Total of All Payments

The total of all payments is simply the monthly payment $M$ multiplied by the number of months $n$:
\[
\text{Total Payments} = M \times n
\]

#### Part C: Total Interest Paid

The total interest paid is the difference between the total of all payments and the original loan amount:
\[
\text{Total Interest} = \text{Total Payments} - \text{Loan Amount}
\]

Now, I'll calculate the values for all parts.It seems like I can't do more advanced data analysis right now. Please try again later. 

If you'd like, I can guide you through solving this manually or assist you with other questions.

Would you like further details on the steps to solve this, or do you have any additional questions? Here are 5 related questions you might find interesting:

1. How do different loan terms (e.g., 3 vs. 6 years) affect the total interest paid?
2. What happens to monthly payments if the interest rate increases by 1%?
3. How is interest compounded in various loan structures?
4. Can you calculate the total interest for a loan with no down payment?
5. How would the loan change if a $5,000 down payment was made?

**Tip**: Always check if early repayments can reduce the interest on your loan!

You decide to finance a $19,000.00 car at a 4% interest rate for 6 years. How much will your monthly payment be? What will be the total of all your payments? How much interest will you pay over the life of the loan?

Solve for monthly car loan payments, total payment, and interest for a $19,000 loan at a 4% interest rate over 6 years. Learn to apply the amortization formula and calculate the total amount paid and interest accrued.

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