Question 1201558
To calculate the monthly finance charge for the credit card transaction using the adjusted balance method, we will follow these steps:

### Step 1: Calculate the Adjusted Balance

1. **Initial Balance**: $300
2. **Payment Made**: $50
3. **Days Until Payment is Processed**: 10 days
4. **Days in the Billing Cycle**: 30 days

Since the payment takes 10 days to process, the adjusted balance for the first 10 days is the full balance of $300. After the payment is processed, the balance will be reduced to $250 for the remaining 20 days.

### Step 2: Calculate the Weighted Average Balance

The weighted average balance can be calculated as follows:

$$
\text{Weighted Average Balance} = \left( \text{Balance}_1 \times \text{Days}_1 + \text{Balance}_2 \times \text{Days}_2 \right) / \text{Total Days}
$$

Where:
- $ \text{Balance}_1 = 300 $ (for the first 10 days)
- $ \text{Days}_1 = 10 $
- $ \text{Balance}_2 = 250 $ (for the remaining 20 days)
- $ \text{Days}_2 = 20 $

Substituting the values:

$$
\text{Weighted Average Balance} = \left( 300 \times 10 + 250 \times 20 \right) / 30
$$

Calculating the numerator:

$$
300 \times 10 = 3000
$$
$$
250 \times 20 = 5000
$$
$$
\text{Total} = 3000 + 5000 = 8000
$$

Now, divide by the total number of days:

$$
\text{Weighted Average Balance} = \frac{8000}{30} \approx 266.67
$$

### Step 3: Calculate the Monthly Finance Charge

The monthly finance charge is calculated using the formula:

$$
\text{Finance Charge} = \text{Weighted Average Balance} \times \left( \frac{\text{Annual Interest Rate}}{12} \right)
$$

Where:
- Annual Interest Rate = 17% = 0.17

Calculating the monthly interest rate:

$$
\text{Monthly Interest Rate} = \frac{0.17}{12} \approx 0.01416667
$$

Now, substituting the values into the finance charge formula:

$$
\text{Finance Charge} = 266.67 \times 0.01416667 \approx 3.78
$$

### Final Result

Rounding to the nearest cent, the monthly finance charge is:

$$
\boxed{3.78}
$$