You are currently $25$ years of age. You have developed a lifetime budget that includes $$50,000$ at age $40$ for a college fund for your kids and $$25,000$ per year for $20$ years to supplement your retirement, the first payment on your $60$th birthday and the last payment on your $79$th birthday.

You open an investment account on your $25$th birthday that promises to pay $9\%$ interest compounded annually. You want to deposit equal annual amounts into the account every year on your birthday, starting today $($your $25$th birthday$)$ and continuing until you are $40$ years old $($i$.$e$.,$ the last deposit is made on your $40$th birthday$).$

How much will each deposit have to be if you want to meet your financial goals?