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Sid Kemp says
if X is the original principal, the amount of money at time T0, then compound interest says that the amount of money at time T1 will be the original amount, plus interest I, and I = X*r, where r is the rate.
time T0 = amount X (or 1*X)
time T1 = amount X + X*r; (or X(1+r)
The 1 is added to retain the original principal.

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