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Darian has decided to attend an out-of-state public four-year university. His expected expenses are shown in the table below.

| Category | Annual Expected Expense (\[tex]$) |
|----------------|-------------------------------|
| Tuition | \$[/tex]18,900 |
| Room/Board | \[tex]$7,650 |
| Books/Fees | \$[/tex]1,475 |
| Other Expenses | \[tex]$2,350 |

Darian expects to get \$[/tex]7,500 in grants each year.

What is the minimum amount he should expect to contribute for four years at the university?

A. \[tex]$22,875
B. \$[/tex]91,500
C. \[tex]$114,000
D. \$[/tex]151,500

Sagot :

GinnyAnsweridn
To determine the minimum amount Darian should expect to contribute for four years at the university, we need to follow several steps to calculate the total annual expenses, account for the grants, and then project these values over four years.

1. Calculate the total annual expenses:
- Tuition: [tex]$18,900 - Room/Board: $[/tex]7,650
- Books/Fees: [tex]$1,475 - Other Expenses: $[/tex]2,350

Total annual expenses:
[tex]\[ 18,900 + 7,650 + 1,475 + 2,350 = 30,375 \][/tex]

2. Subtract the annual grants:
- Annual grant: [tex]$7,500 Annual expense after grants: \[ 30,375 - 7,500 = 22,875 \] 3. Calculate the total expenses for four years: \[ 22,875 \times 4 = 91,500 \] Therefore, the minimum amount Darian should expect to contribute for four years at the university is $[/tex]91,500.

Thus, the answer is:
[tex]\[ \$ 91,500 \][/tex]
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