Finite Math Examples

$10 = x {(1 + \frac{0.085}{e})}^{e}$

Step 1

Rewrite the equation as $x {(1 + \frac{0.085}{e})}^{e} = 10$ .

$x {(1 + \frac{0.085}{e})}^{e} = 10$

Step 2

Simplify.

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Step 2.1

Replace $e$ with an approximation.

$x {(1 + \frac{0.085}{2.71828182})}^{e} = 10$

Step 2.2

Divide $0.085$ by $2.71828182$ .

$x {(1 + 0.03126975)}^{e} = 10$

Step 2.3

Add $1$ and $0.03126975$ .

$x \cdot {1.03126975}^{e} = 10$

Step 3

Divide each term in $x \cdot {1.03126975}^{e} = 10$ by ${1.03126975}^{e}$ and simplify.

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Step 3.1

Divide each term in $x \cdot {1.03126975}^{e} = 10$ by ${1.03126975}^{e}$ .

$\frac{x \cdot {1.03126975}^{e}}{{1.03126975}^{e}} = \frac{10}{{1.03126975}^{e}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of ${1.03126975}^{e}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{x \cdot {1.03126975}^{e}}{{1.03126975}^{e}} = \frac{10}{{1.03126975}^{e}}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{10}{{1.03126975}^{e}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{{1.03126975}^{e}}$

Decimal Form:

$x = 9.19708868 \dots$