Money
Future value of a regular contribution, compounded monthly:
FV = P × ((1 + r)ⁿ − 1) / r, where P is the monthly deposit, r the monthly rate and n the number of months.
Savings default to 4.5% APR, investing to 8.0%. Figures are nominal: no inflation, no tax on interest.
Debt
A month-by-month amortisation loop. Interest is added, then the payment (minimum plus your extra) is subtracted, until the balance clears. The comparison against minimum-only payments comes from running the same loop twice.
Sleep
Debt accumulates against an 8-hour baseline, the midpoint of the 7–9 hour adult recommendation. Cumulative debt is converted into whole nights lost. Cognitive effects reference the classic dose-response restriction studies.
Fitness & nutrition
Calories per unit of activity assume an average adult of about 170 lb (77 kg) at a moderate pace. Weight change uses 3,500 kcal ≈ 1 lb of fat, with a decay factor applied over long horizons to reflect metabolic adaptation.
Learning
Daily minutes are converted to cumulative practice hours, then compared against commonly cited hour thresholds for each skill. These are rough consensus figures — practice quality moves them by a factor of two or more.
Time
Hours per day become hours per year (365 days, or 250 for commuting and work scenarios), then get translated into waking days and opportunity cost at a stated hourly rate.