In case anyone is interested, here’s a spreadsheet I just created that computes the daily costs, after arbitrarily many years, of reviewing a deck which has been growing by a constant number of cards per year.
An interesting implication is that after three years one has incurred roughly 50% of the total time costs of reviewing a card, assuming a time horizon of 50 years. So if Michal keeps adding new cards at the same pace, his daily costs will converge to 390.5=78 minutes. Still, it will take another 12 years for the costs to increase by another 50%, so even after 15 years his daily costs will be 390.75=52 minutes.
In case anyone is interested, here’s a spreadsheet I just created that computes the daily costs, after arbitrarily many years, of reviewing a deck which has been growing by a constant number of cards per year.
An interesting implication is that after three years one has incurred roughly 50% of the total time costs of reviewing a card, assuming a time horizon of 50 years. So if Michal keeps adding new cards at the same pace, his daily costs will converge to 390.5=78 minutes. Still, it will take another 12 years for the costs to increase by another 50%, so even after 15 years his daily costs will be 390.75=52 minutes.