$4.$ The interest rate on a savings account is $3\%.$ You deposit $100$ today, then $100$ at the end of the first year, and $100$ each year until the end of year $10.$ You withdraw x at the end of year $11,$ and then x each year until the end of year $15$ when the final withdrawal is made. What value of x will empty the account after the final withdrawal?

A: $250$ B: $260$ C: $270$ D: $280$