To find the total expenses for Petra's car after 6 months, we need to consider the costs of the car itself, the registration fee, and the insurance over 6 months. Let's break down each expense:
1. Cost of the car:
The cost of the car is \[tex]$19,600.
2. Registration fee:
The registration fee is \$[/tex]425.
3. Insurance cost:
The insurance costs \[tex]$45 per month. Over 6 months, the total cost of insurance is:
\[
\text{Insurance cost for 6 months} = 45 \, \text{\$[/tex] per month} \times 6 \, \text{months} = \[tex]$270
\]
Now, let's sum up all these expenses to find the total cost:
4. Total expenses:
\[
\text{Total expenses} = \text{Car cost} + \text{Registration fee} + \text{Insurance cost for 6 months}
\]
\[
\text{Total expenses} = 19,600 \, \$[/tex] + 425 \, \[tex]$ + 270 \, \$[/tex] = 20,295 \, \[tex]$
\]
Therefore, the total expenses for Petra's car after 6 months are \$[/tex]20,295. The correct answer is:
\$20,295