(20)/(1+125(0.00591))

asked by guest
on Nov 26, 2024 at 6:17 pm



You asked:

Evaluate the expression: \(\frac{20}{1 + 125 \cdot 0.00591}\)

MathBot Answer:

\[\frac{20}{1 + 125 \cdot 0.00591} = \frac{16000}{1391} \approx 11.50251617541337167505391804457225\]


\[\begin{aligned}\frac{20}{1 + 125 \cdot 0.00591}& = 20 \cdot \frac{1}{1 + 125 \cdot \frac{591}{100000}}\\& = 20 \cdot \frac{1}{1 + \frac{73875}{100000}}\\& = 20 \cdot \frac{1}{1 + \frac{591}{800}}\\& = 20 \cdot \frac{1}{\frac{1391}{800}}\\& = \frac{16000}{1391}\end{aligned}\]