Continuous Growth and Decay
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
The continuous growth formula uses e as the base: A = Pe^(rt), the limit of compounding run at every instant.
Show
1000 at 6% continuous for 10 years: A = 1000e⁰·⁶ ≈ 1822.12 — a few dollars past the monthly compounder's 1819.40, with nothing left to squeeze.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.