Finite Math Examples

$x = 22339.7 \cdot (\frac{0.00625}{1 - {(1 + 0.00625)}^{- 144}})$

Step 1

Multiply $22339.7$ by $\frac{0.00625}{1 - {(1 + 0.00625)}^{- 144}}$ .

$x = 22339.7 \cdot \frac{0.00625}{1 - {(1 + 0.00625)}^{- 144}}$

Step 2

Simplify $22339.7 \cdot \frac{0.00625}{1 - {(1 + 0.00625)}^{- 144}}$ .

Tap for more steps...

Step 2.1

Simplify the denominator.

Tap for more steps...

Step 2.1.1

Add $1$ and $0.00625$ .

$x = 22339.7 \cdot \frac{0.00625}{1 - {1.00625}^{- 144}}$

Step 2.1.2

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

$x = 22339.7 \cdot \frac{0.00625}{1 - \frac{1}{{1.00625}^{144}}}$

Step 2.1.3

Raise $1.00625$ to the power of $144$ .

$x = 22339.7 \cdot \frac{0.00625}{1 - \frac{1}{2.4527238}}$

Step 2.1.4

Divide $1$ by $2.4527238$ .

$x = 22339.7 \cdot \frac{0.00625}{1 - 1 \cdot 0.40770999}$

Step 2.1.5

Multiply $- 1$ by $0.40770999$ .

$x = 22339.7 \cdot \frac{0.00625}{1 - 0.40770999}$

Step 2.1.6

Subtract $0.40770999$ from $1$ .

$x = 22339.7 \cdot \frac{0.00625}{0.59229}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Divide $0.00625$ by $0.59229$ .

$x = 22339.7 \cdot 0.01055226$

Step 2.2.2

Multiply $22339.7$ by $0.01055226$ .

$x = 235.73439166$