Subjects algebra

Monthly Payment 97Ede9

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1. **State the problem:** Callie was billed 416.48 for car repairs and will pay in 4 equal monthly installments. We want to find the net change in her bank account after each monthly payment. 2. **Part A:** The net change to Callie’s bank account in terms of the entire bill is the total amount paid, which is $-416.48$. The negative sign means money is leaving her account. 3. **Part B:** The number of months to pay off the bill is 4, a positive number indicating the count of payments. 4. **Part C:** The expression for the net change each month is the total bill divided by the number of months: $$\frac{-416.48}{4}$$ 5. **Part D:** Simplify the expression: $$\frac{-416.48}{4} = -104.12$$ So, each month her account decreases by 104.12. 6. **Part E:** If she invests the same monthly amount for one year (12 months), the net change is: $$12 \times (-104.12) = -1249.44$$ 7. **Part F:** The sign is negative, meaning money is leaving her account. This makes sense because investing means paying money out. **Final answer:** The net change in her bank account after each monthly payment is $-104.12$.