Algebra - Compound interest formulas

Future value : A
Initial deposit : C
Annual rate of interest : r
Number of years invested : t
Number of times compounded per year : n

  1. General compound interest formula
    \(A=C (1+ {r \over n} )^{nt}\)
  2. Simplified Compound interest formula 
    if interest is compounded once per year, then the previous formula simplifies to :  
    \(A=C(1+r)^t \,.\)
  3. Continuous compound interest
    if interest is compounded continually  \(( n \to \infty )\) , then
    \(A=Ce^{rt} \,.\)