(20)/(1+125(0.000591))

asked by guest
on Nov 26, 2024 at 6:14 pm



You asked:

Evaluate the expression: \(\frac{20}{1 + 125 \cdot 0.000591}\)

MathBot Answer:

\[\frac{20}{1 + 125 \cdot 0.000591} = \frac{160000}{8591} \approx 18.62414154347573041555115818880223\]

\[\begin{aligned}\frac{20}{1 + 125 \cdot 0.000591}& = 20 \cdot \frac{1}{1 + 125 \cdot \frac{591}{1000000}}\\& = 20 \cdot \frac{1}{1 + \frac{73875}{1000000}}\\& = 20 \cdot \frac{1}{1 + \frac{591}{8000}}\\& = 20 \cdot \frac{1}{\frac{8591}{8000}}\\& = \frac{160000}{8591}\end{aligned}\]

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