Divya predicts her investment will have a return of $0.2\%$ interest on the last day of each month. Her initial investment is $\$100$ on the first of the first month, and she invests another $\$100$ on the first day of each month after that. **According to her prediction, what would Divya's investment be worth at the end of the first day of the $48^\text{th}$ month?** *Round your final answer to the nearest dollar.* $\$$[[☃ numeric-input 1]]