Petra bought a car. She wrote the different expenses associated with it in this table.

\begin{tabular}{|l|l|}
\hline
Expense & Cost \\
\hline
Car & [tex]$\$[/tex]19,600[tex]$ \\
\hline
Registration Fee & $[/tex]\[tex]$425$[/tex] \\
\hline
Insurance & [tex]$\$[/tex]45[tex]$ per month \\
\hline
\end{tabular}

What are the total expenses for the car after 6 months?

A. $[/tex]\[tex]$20,555$[/tex]

B. [tex]$\$[/tex]20,295[tex]$

C. $[/tex]\[tex]$20,070$[/tex]

D. [tex]$\$[/tex]20,265$



Answer :

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]