According to your 10 fold increase every 8 days standard, we should reach 100,000,000 cases by April 12 (if my calendar counting is correct).
330,000,000 should only be a few days after that (assuming that really is the population of the US).
There has to be a peak in there somewhere. The only question is when that will happen.
What is your guess?
I should have said a peak in new cases.
I'm not guessing at that. The cumulative number of cases follows a logistics curve. Early growth is exponential but then inflects and tops out. It's plain to see after the fact on a linear axis. On the logarithmic axis, the straight line of exponential grow will start bending to the right.