To express the front-end ratio algebraically for Mike and Cheryl considering their adjusted gross income, raises, and housing expenses, we can follow these steps:
1. Calculate the new adjusted gross income for Mike and Cheryl after their raises:
- Mike's new adjusted gross income = a + $3,000
- Cheryl's new adjusted gross income = a + $1,500
2. Determine the total annual housing expenses:
- Total annual housing expenses = 12m (monthly mortgage payments) + p (annual property taxes) + h (annual homeowner's premiums)
3. Calculate the front-end ratio:
- Front-end ratio = Total annual housing expenses / Total combined income
- Total combined income = Mike's new adjusted gross income + Cheryl's new adjusted gross income
- Front-end ratio = Total annual housing expenses / (a + $3,000 + a + $1,500)
By following these steps, you can algebraically express the front-end ratio for Mike and Cheryl based on their adjusted gross income, raises, and housing expenses.