Subjects personal financial literacy

College Costs 5B85A0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Calculate the annual and total costs of tuition and living expenses, total savings and contributions, and the remaining amount needed for 4 years of college. 2. **Formula and rules:** - Annual cost = Tuition per year + Living expenses per year - Total cost for 4 years = Annual cost \times 4 - Total savings and contributions = Family contributions + (Academic scholarship \times 4) + Other scholarships + (Work-study grant \times 4) - Remaining amount = Total cost for 4 years - Total savings and contributions 3. **Calculate annual estimated cost:** $$\text{Annual cost} = 20500 + 15450 = 35950$$ 4. **Calculate total estimated cost for 4 years:** $$\text{Total cost} = 35950 \times 4 = 143800$$ 5. **Calculate total savings and contributions over 4 years:** $$\text{Total savings} = 23000 + (16000 \times 4) + 4500 + (6000 \times 4)$$ $$= 23000 + 64000 + 4500 + 24000 = 115500$$ 6. **Calculate remaining amount to be paid:** $$\text{Remaining} = 143800 - 115500 = 28300$$ **Final answers:** - Annual estimated cost: $35950.00$ - Total estimated cost for 4 years: $143800.00$ - Total savings and contributions: $115500.00$ - Amount still needed: $28300.00$