10,00,000 * 0.006 * (1 + 0.006)120 / ((1 + 0.006)120 - 1)

asked by guest
on Sep 20, 2024 at 11:36 pm



MathBot Answer:

The sum of \(10\) and \(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\) is:

\[\begin{aligned}&=\left(10\right) + \left(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\right) \\\\ &= 0 \cdot 6 \cdot \frac{1}{1000} \cdot \left(6 \cdot \frac{1}{1000} + 1\right) 120 \cdot \frac{1}{-1 + \left(6 \cdot \frac{1}{1000} + 1\right) 120} + 10 \\\\ &= 10 \\\\\end{aligned}\]

The difference of \(10\) and \(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\) is:

\[\begin{aligned}&=\left(10\right) - \left(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\right) \\\\ &= 0 \cdot \frac{1}{1000} \cdot \left(6 \cdot \frac{1}{1000} + 1\right) 120 \cdot \frac{1}{-1 + \left(6 \cdot \frac{1}{1000} + 1\right) 120} + 10 \\\\ &= 10 \\\\\end{aligned}\]

The product of \(10\) and \(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\) is:

\[\begin{aligned}&=\left(10\right) \cdot \left(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\right) \\\\ &= 0 \\\\\end{aligned}\]

The quotient of \(10\) and \(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\) is:

\[\begin{aligned}&= \frac{\left(10\right)}{\left(\frac{00,000 \cdot 0.006 \cdot \left(1 + 0.006\right) \cdot 120}{\left(1 + 0.006\right) \cdot 120 - 1}\right)} \\\\ &= \tilde{\infty} \\\\\end{aligned}\]

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