Basic Math Examples

$p {(1 + 0.03)}^{8} = 18000 (\frac{1 - {(1 + 0.03)}^{6}}{0.03})$

Step 1

Simplify.

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Step 1.1

Add $1$ and $0.03$ .

$p \cdot {1.03}^{8} = 18000 (\frac{1 - {(1 + 0.03)}^{6}}{0.03})$

Step 1.2

Add $1$ and $0.03$ .

$p \cdot {1.03}^{8} = 18000 \frac{1 - {1.03}^{6}}{0.03}$

Step 1.3

Raise $1.03$ to the power of $6$ .

$p \cdot {1.03}^{8} = 18000 \frac{1 - 1 \cdot 1.19405229}{0.03}$

Step 1.4

Multiply $- 1$ by $1.19405229$ .

$p \cdot {1.03}^{8} = 18000 \frac{1 - 1.19405229}{0.03}$

Step 1.5

Subtract $1.19405229$ from $1$ .

$p \cdot {1.03}^{8} = 18000 (\frac{- 0.19405229}{0.03})$

Step 1.6

Cancel the common factor of $0.03$ .

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Step 1.6.1

Factor $0.03$ out of $18000$ .

$p \cdot {1.03}^{8} = 0.03 (600000) \frac{- 0.19405229}{0.03}$

Step 1.6.2

Cancel the common factor.

$p \cdot {1.03}^{8} = 0.03 \cdot 600000 \frac{- 0.19405229}{0.03}$

Step 1.6.3

Rewrite the expression.

$p \cdot {1.03}^{8} = 600000 \cdot - 0.19405229$

Step 1.7

Multiply $600000$ by $- 0.19405229$ .

$p \cdot {1.03}^{8} = - 116431.3779174$

Step 2

Divide each term in $p \cdot {1.03}^{8} = - 116431.3779174$ by ${1.03}^{8}$ and simplify.

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Step 2.1

Divide each term in $p \cdot {1.03}^{8} = - 116431.3779174$ by ${1.03}^{8}$ .

$\frac{p \cdot {1.03}^{8}}{{1.03}^{8}} = \frac{- 116431.3779174}{{1.03}^{8}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of ${1.03}^{8}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{p \cdot {1.03}^{8}}{{1.03}^{8}} = \frac{- 116431.3779174}{{1.03}^{8}}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p = \frac{- 116431.3779174}{{1.03}^{8}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $1.03$ to the power of $8$ .

$p = \frac{- 116431.3779174}{1.26677008}$

Step 2.3.2

Divide $- 116431.3779174$ by $1.26677008$ .

$p = - 91912.00489189$