A Math $110$ student decides to make semiannual payments of $$2,500$ into a retirement account paying $8\%$ interest per year compounded continuously. If the student continues to make these payments for $40$ years, compute each of the following values.

Account balance after $40$ years $($exact value$)=$

dollars

Account balance after $40$ years $($rounded to the nearest cent$)=$

dollars

Total of all deposits $($exact value$)=$

dollars

Total of all interest payments $($rounded to the nearest cent$)=$

dollars