In $2023,$ Maggy $(34$ years old$)$ is an employee of YBU Corporation. YBU provides a $401($k$)$ plan for all its employees. According to the terms of the plan, YBU contributes $50$ cents for every dollar the employee contributes. The maximum employer contribution under the plan is $15$ percent of the employee's salary $($if allowed, YBU contributes until the employee has contributed $30$ percent of her salary$).($Use Exhibit $13-2)$

a$.$ Maggy worked for YBU Corporation for $3(1)/(2)$ years before deciding to leave effective July $1,2023.$ Maggy's annual salary during this time was $$45,000,$ $$52,000,$ $$55,000,$ and $$60,000($she only received half of her $$60,0002023$ salary$).$ Assuming Maggy contributed $8$ percent of her salary $($including her $2023$ salary$)$ to her $401($k$)$ account, what is Maggy's vested account balance when she leaves YBU $($exclusive of account earnings$)?$ Assume YBU uses three$-$year cliff vesting.