10000×(1−(1+0.10)

−5

)/0.10

asked by guest
on Nov 15, 2024 at 4:24 pm



You asked:

Evaluate the expression: \(\frac{10000 \cdot \left(1 - \left(1 + 0.10\right) - 5\right)}{0.10}\)

MathBot Answer:

\[\frac{10000 \cdot \left(1 - \left(1 + 0.10\right) - 5\right)}{0.10} = -510000\]

\[\begin{aligned}\frac{10000 \cdot \left(1 - \left(1 + 0.10\right) - 5\right)}{0.10}& = 10000 \cdot \left(1 - \left(1 + \frac{1}{10}\right) - 5\right) \cdot \frac{1}{\frac{1}{10}}\\& = 10000 \cdot \left(1 - \frac{11}{10} - 5\right) \cdot \frac{1}{\frac{1}{10}}\\& = 10000 \cdot \left(- \frac{1}{10} - 5\right) \cdot \frac{1}{\frac{1}{10}}\\& = 10000 \cdot - \frac{51}{10} \cdot \frac{1}{\frac{1}{10}}\\& = 10000 \cdot -51\\& = -510000\end{aligned}\]

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