Chesser Ai Answer
Continuous compounding yields A = P e^{rt}, with P principal, r rate, t time.
$$A(t) = P,e^{r t}$$
For a non-constant rate r(t):
$$A(t) = P,expleft(int_{0}^{t} r(s),dsright)$$
Example: P = 1000, r = 0.05, t = 5 → A ≈ 1000 e^{0.25} ≈ 1284.03.
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