Finite Math Examples

$5000 (\frac{1 - {(1 + 0.04)}^{- 192}}{0.04})$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.04$ .

$5000 \frac{1 - {1.04}^{- 192}}{0.04}$

Step 1.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$5000 \frac{1 - \frac{1}{{1.04}^{192}}}{0.04}$

Step 1.3

Raise $1.04$ to the power of $192$ .

$5000 \frac{1 - \frac{1}{1863.80788776}}{0.04}$

Step 1.4

Divide $1$ by $1863.80788776$ .

$5000 \frac{1 - 1 \cdot 0.00053653}{0.04}$

Step 1.5

Multiply $- 1$ by $0.00053653$ .

$5000 \frac{1 - 0.00053653}{0.04}$

Step 1.6

Subtract $0.00053653$ from $1$ .

$5000 (\frac{0.99946346}{0.04})$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $0.04$ .

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Step 2.1.1

Factor $0.04$ out of $5000$ .

$0.04 (125000) \frac{0.99946346}{0.04}$

Step 2.1.2

Cancel the common factor.

$0.04 \cdot 125000 \frac{0.99946346}{0.04}$

Step 2.1.3

Rewrite the expression.

$125000 \cdot 0.99946346$

Step 2.2

Multiply $125000$ by $0.99946346$ .

$124932.93300193$