Finite Math Examples

$100 (1 + X) = 100 e^{r}$

Step 1

Divide each term in $100 (1 + X) = 100 e^{r}$ by $100$ and simplify.

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Step 1.1

Divide each term in $100 (1 + X) = 100 e^{r}$ by $100$ .

$\frac{100 (1 + X)}{100} = \frac{100 e^{r}}{100}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $100$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{100 (1 + X)}{100} = \frac{100 e^{r}}{100}$

Step 1.2.1.2

Divide $1 + X$ by $1$ .

$1 + X = \frac{100 e^{r}}{100}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $100$ .

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Step 1.3.1.1

Cancel the common factor.

$1 + X = \frac{100 e^{r}}{100}$

Step 1.3.1.2

Divide $e^{r}$ by $1$ .

$1 + X = e^{r}$

Step 2

Subtract $1$ from both sides of the equation.

$X = e^{r} - 1$