Finite Math Examples

$22000 = p {(1 + 0.05)}^{107}$

Step 1

Rewrite the equation as $p {(1 + 0.05)}^{107} = 22000$ .

$p {(1 + 0.05)}^{107} = 22000$

Step 2

Add $1$ and $0.05$ .

$p \cdot {1.05}^{107} = 22000$

Step 3

Divide each term in $p \cdot {1.05}^{107} = 22000$ by ${1.05}^{107}$ and simplify.

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Step 3.1

Divide each term in $p \cdot {1.05}^{107} = 22000$ by ${1.05}^{107}$ .

$\frac{p \cdot {1.05}^{107}}{{1.05}^{107}} = \frac{22000}{{1.05}^{107}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of ${1.05}^{107}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p \cdot {1.05}^{107}}{{1.05}^{107}} = \frac{22000}{{1.05}^{107}}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{22000}{{1.05}^{107}}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Raise $1.05$ to the power of $107$ .

$p = \frac{22000}{185.03547549}$

Step 3.3.2

Divide $22000$ by $185.03547549$ .

$p = 118.89611946$