Let's break down the problem to determine the total expenses Petra incurred for her car over a period of 6 months.
1. Car Cost:
- The cost of the car itself is \[tex]$19,600.
2. Registration Fee:
- The registration fee is a one-time cost of \$[/tex]425.
3. Insurance:
- The insurance cost is \[tex]$45 per month. Since we are calculating expenses over 6 months, we need to find the total insurance cost for this period.
\[
\text{Total insurance cost} = 45 \, (\text{cost per month}) \times 6 \, (\text{months}) = \$[/tex]270
\]
4. Total Expenses:
- To find the total expenses for the car after 6 months, we sum up the car cost, registration fee, and the total insurance cost:
[tex]\[
\text{Total expenses} = 19,600 \, (\text{car cost}) + 425 \, (\text{registration fee}) + 270 \, (\text{total insurance cost}) = \$20,295
\][/tex]
Thus, the total expenses for the car after 6 months is \[tex]$20,295. Therefore, the correct answer is:
\[
\$[/tex]20,295
\]
