Finite Math Examples

$x = \frac{376000 (1 - {(1.0425)}^{- 360})}{0.0425}$

Step 1

Remove parentheses.

$x = \frac{376000 (1 - {1.0425}^{- 360})}{0.0425}$

Step 2

Simplify $\frac{376000 (1 - {1.0425}^{- 360})}{0.0425}$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$x = \frac{376000 (1 - \frac{1}{{1.0425}^{360}})}{0.0425}$

Step 2.1.2

Raise $1.0425$ to the power of $360$ .

$x = \frac{376000 (1 - \frac{1}{3216495.23592253})}{0.0425}$

Step 2.1.3

Divide $1$ by $3216495.23592253$ .

$x = \frac{376000 (1 - 1 \cdot 0.00000031)}{0.0425}$

Step 2.1.4

Multiply $- 1$ by $0.00000031$ .

$x = \frac{376000 (1 - 0.00000031)}{0.0425}$

Step 2.1.5

Subtract $0.00000031$ from $1$ .

$x = \frac{376000 \cdot 0.99999968}{0.0425}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $376000$ by $0.99999968$ .

$x = \frac{375999.88310257}{0.0425}$

Step 2.2.2

Divide $375999.88310257$ by $0.0425$ .

$x = 8847056.07300184$