40,500(1-6/100)^5

asked by guest
on Jan 27, 2025 at 5:29 am



You asked:

Evaluate the expression: \(40,500 {\left( 1 - \frac{6}{100} \right)}^{5}\)

MathBot Answer:

\[40,500 {\left( 1 - \frac{6}{100} \right)}^{5} = \frac{18576945567}{625000} = 29723.1129072\]


\[\begin{aligned}40,500 {\left( 1 - \frac{6}{100} \right)}^{5}& = 40500 \cdot \left(1 - \frac{3}{50}\right)^{5}\\& = 40500 \cdot \left(\frac{47}{50}\right)^{5}\\& = 40500 \cdot \frac{229345007}{312500000}\\& = \frac{18576945567}{625000}\end{aligned}\]