Finite Math Examples

$75000 \cdot \frac{1 - {(1 + 0.051)}^{- 12 \cdot 18}}{0.051}$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.051$ .

$75000 \cdot \frac{1 - {1.051}^{- 12 \cdot 18}}{0.051}$

Step 1.2

Multiply $- 12$ by $18$ .

$75000 \cdot \frac{1 - {1.051}^{- 216}}{0.051}$

Step 1.3

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

$75000 \cdot \frac{1 - \frac{1}{{1.051}^{216}}}{0.051}$

Step 1.4

Raise $1.051$ to the power of $216$ .

$75000 \cdot \frac{1 - \frac{1}{46364.61545239}}{0.051}$

Step 1.5

Divide $1$ by $46364.61545239$ .

$75000 \cdot \frac{1 - 1 \cdot 0.00002156}{0.051}$

Step 1.6

Multiply $- 1$ by $0.00002156$ .

$75000 \cdot \frac{1 - 0.00002156}{0.051}$

Step 1.7

Subtract $0.00002156$ from $1$ .

$75000 \cdot \frac{0.99997843}{0.051}$

Step 2

Simplify the expression.

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Step 2.1

Divide $0.99997843$ by $0.051$ .

$75000 \cdot 19.60742023$

Step 2.2

Multiply $75000$ by $19.60742023$ .

$1470556.51739414$