Miguel and his wife are each starting a saving plan. Miguel will initially set aside \( \$ 750 \) and then add \( \$ 165 \) every month to the savings. The amount \( A \) (in dollars) saved this way is given by the function \( A=165 N+750 \), where \( N \) is the number of months he has been saving. His wife will not set an initial amount aside but will add \( \$ 495 \) to the savings every month. The amount \( B \) (in dollars) saved using this plan is given by the function \( B=495 N \). Let \( T \) be total amount (in dollars) saved using both plans combined. Write an equation relating \( T \) to \( N \). Simplify your answer as much as possible. \( T=\square \)

To find the total amount \( T \) saved using both Miguel's and his wife's plans, you simply add their respective savings equations together. According to the information given, Miguel's savings is represented by \( A = 165N + 750 \) and his wife's by \( B = 495N \). Now, let's combine them! \[ T = A + B = (165N + 750) + (495N) \] By simplifying, you'll combine like terms: \[ T = 165N + 495N + 750 \] \[ T = 660N + 750 \] So, the total amount saved using both plans combined is: \[ T = 660N + 750 \] Ready to start saving? You and Miguel's wife can strategize and crush those savings goals! On another note, using savings tools like budgeting apps can really pay off! Not only do they help you keep track, but they’ll motivate you to stick to your plans. Plus, you'll avoid those common hiccups like forgetting to account for small expenses that can really add up! Happy saving!