Finite Math Examples

$\frac{153 (1 - {(1.025)}^{- 35})}{0.025}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{153 (1 - \frac{1}{{1.025}^{35}})}{0.025}$

Step 1.2

Raise $1.025$ to the power of $35$ .

$\frac{153 (1 - \frac{1}{2.37320518})}{0.025}$

Step 1.3

Divide $1$ by $2.37320518$ .

$\frac{153 (1 - 1 \cdot 0.42137106)}{0.025}$

Step 1.4

Multiply $- 1$ by $0.42137106$ .

$\frac{153 (1 - 0.42137106)}{0.025}$

Step 1.5

Subtract $0.42137106$ from $1$ .

$\frac{153 \cdot 0.57862893}{0.025}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $153$ by $0.57862893$ .

$\frac{88.53022684}{0.025}$

Step 2.2

Divide $88.53022684$ by $0.025$ .

$3541.20907373$