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A=20000\left(1+\frac{55}{2000}\right)^{2}
Expand \frac{0.055}{2} by multiplying both numerator and the denominator by 1000.
A=20000\left(1+\frac{11}{400}\right)^{2}
Reduce the fraction \frac{55}{2000} to lowest terms by extracting and canceling out 5.
A=20000\times \left(\frac{411}{400}\right)^{2}
Add 1 and \frac{11}{400} to get \frac{411}{400}.
A=20000\times \frac{168921}{160000}
Calculate \frac{411}{400} to the power of 2 and get \frac{168921}{160000}.
A=\frac{168921}{8}
Multiply 20000 and \frac{168921}{160000} to get \frac{168921}{8}.