Today is your friend$$s $25$th birthday, and she would like to start planning for her retirement.

Starting her $66$th birthday, she would like to withdraw $$50,000$ per year for $30$ years. To support

her retirement needs, she will be depositing money into an investment account on an annual basis.

Her first deposit will be on her $26$th birthday, while her last deposit will be on her $65$th birthday.

The interest rate is expected to remain constant at $5\%$ per year compounded annually. Calculate

the amount of annual deposit needed to support her retirement needs. Show your calculation