To determine how much Marcel will need to borrow for his first year, we need to calculate the total cost of his education for the year and the total amount he can pay through grants, scholarships, and work-study, then find the difference.
1. Calculate the Total Costs:
- Tuition & Fees: \[tex]$12,500
- Room & Board: \$[/tex]8,200
- Total Costs [tex]\(= \$12,500 + \$8,200\)[/tex]
- Total Costs [tex]\(= \$20,700\)[/tex]
2. Calculate the Total Payments:
- Grants & Scholarships: \[tex]$6,500
- Work-Study: \$[/tex]9,800
- Total Payments [tex]\(= \$6,500 + \$9,800\)[/tex]
- Total Payments [tex]\(= \$16,300\)[/tex]
3. Calculate the Amount Needed to Borrow:
- Amount Needed to Borrow [tex]\(= \text{Total Costs} - \text{Total Payments}\)[/tex]
- Amount Needed to Borrow [tex]\(= \$20,700 - \$16,300\)[/tex]
- Amount Needed to Borrow [tex]\(= \$4,400\)[/tex]
Based on these calculations, Marcel will need to borrow \[tex]$4,400 for his first year. Therefore, the correct answer is:
\[
\boxed{\$[/tex]4,400}
\]
