Finite Math Examples

$6000 = p {(1 + \frac{0.062}{1})}^{5}$

Step 1

Rewrite the equation as $p {(1 + \frac{0.062}{1})}^{5} = 6000$ .

$p {(1 + \frac{0.062}{1})}^{5} = 6000$

Step 2

Simplify.

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Step 2.1

Divide $0.062$ by $1$ .

$p {(1 + 0.062)}^{5} = 6000$

Step 2.2

Add $1$ and $0.062$ .

$p \cdot {1.062}^{5} = 6000$

Step 3

Divide each term in $p \cdot {1.062}^{5} = 6000$ by ${1.062}^{5}$ and simplify.

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Step 3.1

Divide each term in $p \cdot {1.062}^{5} = 6000$ by ${1.062}^{5}$ .

$\frac{p \cdot {1.062}^{5}}{{1.062}^{5}} = \frac{6000}{{1.062}^{5}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of ${1.062}^{5}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p \cdot {1.062}^{5}}{{1.062}^{5}} = \frac{6000}{{1.062}^{5}}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{6000}{{1.062}^{5}}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Raise $1.062$ to the power of $5$ .

$p = \frac{6000}{1.35089807}$

Step 3.3.2

Divide $6000$ by $1.35089807$ .

$p = 4441.48977524$