You plan to retire in $50$ years, and you have decided that it's time to start saving for retirement.

You believe that, in order to live comfortably, you will need to have $$1,000,000$ in your account

when you retire in $50$ years. To this end, you want to make equal annual contributions to a

retirement account, starting today, and ending on your retirement date.

You will make your first contribution today $($at t $=0)$ and your last contribution when you retire

$($at t $=50).$

The interest rate on the retirement account is $4\%.$

How much do you have to contribute each year in order to reach your goal?