Finite Math Examples

$p = 2400 (\frac{1 - {(1 + 0.0648)}^{- 18}}{0.0648})$

Step 1

Multiply $2400$ by $\frac{1 - {(1 + 0.0648)}^{- 18}}{0.0648}$ .

$p = 2400 (\frac{1 - {(1 + 0.0648)}^{- 18}}{0.0648})$

Step 2

Simplify $2400 (\frac{1 - {(1 + 0.0648)}^{- 18}}{0.0648})$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Add $1$ and $0.0648$ .

$p = 2400 \frac{1 - {1.0648}^{- 18}}{0.0648}$

Step 2.1.2

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

$p = 2400 \frac{1 - \frac{1}{{1.0648}^{18}}}{0.0648}$

Step 2.1.3

Raise $1.0648$ to the power of $18$ .

$p = 2400 \frac{1 - \frac{1}{3.09616975}}{0.0648}$

Step 2.1.4

Divide $1$ by $3.09616975$ .

$p = 2400 \frac{1 - 1 \cdot 0.3229797}{0.0648}$

Step 2.1.5

Multiply $- 1$ by $0.3229797$ .

$p = 2400 \frac{1 - 0.3229797}{0.0648}$

Step 2.1.6

Subtract $0.3229797$ from $1$ .

$p = 2400 (\frac{0.67702029}{0.0648})$

Step 2.2

Simplify the expression.

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Step 2.2.1

Divide $0.67702029$ by $0.0648$ .

$p = 2400 \cdot 10.44784403$

Step 2.2.2

Multiply $2400$ by $10.44784403$ .

$p = 25074.82568364$