Assume that you start a new savings plan of $$100$ at the end of each week. The funds earn $6\%$ compounded monthly. After exactly one year, you increase the amount you contribute to $$150$ at the end of each week $($still earning $6\%$ compounded monthly$).$ How much would you have saved after $4$ years from your initial start date? $($Round your answer$)$ Show steps not using financial calculator.

Multiple Choice

$$27,377$

$$28,600$

$$7,377$

$$32,034$

$$32,027$