1. Suppose Megan is saving for her retirement and is aiming to obtain a future amount of \ ($1,500,000\). How much will she need to save each year over \(35\) years, assuming a constant interest rate of \(5%\), in order to reach her goal? Show your work.

2. Try the above exercise once more using either equation \((9)\) or \((10)\) but this time assume that benefits and costs occur in the middle of the year. Submit your work.