Will paypal (or venmo) $5 to whoever posts the answer.

If I invest x dollar per day, with a yearly return of 5% (e.g. one dollar will return $1.05 after one year), how much money will I have in n days?

Put another way, with a continuous yearly interest rate of 5% , investing x dollars at the beginning of every day, how much will I have after n days?

I believe the solution for x=1 and n=3 is approximately ~3.000821918 (I say approximate because I got this value using a compound interest formula).