To determine the total expenses for Petra's car after 6 months, we need to consider all associated costs, including the cost of the car, the registration fee, and 6 months' worth of insurance premiums. Let's break this down step by step.
1. Cost of the Car:
- This is a single payment.
- Expense: [tex]$19,600
2. Registration Fee:
- A one-time payment.
- Expense: $[/tex]425
3. Insurance:
- This is a monthly expense.
- Insurance cost per month: [tex]$45
- For 6 months, the total insurance cost is:
\[
45 \text{ dollars/month} \times 6 \text{ months} = 270 \text{ dollars}
\]
4. Total Expenses:
- Summing up all the expenses:
\[
19,600 \text{ dollars (car)} + 425 \text{ dollars (registration fee)} + 270 \text{ dollars (insurance)} = 20,295 \text{ dollars}
\]
Therefore, the total expenses for the car after 6 months amount to $[/tex]20,295.
So, the correct choice is:
[tex]\[
\$ 20,295
\][/tex]