Precalculus Examples

$100 \cdot (\frac{1 - {1.01}^{240}}{1 - 1.01})$

Step 1

Simplify the numerator.

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Step 1.1

Raise $1.01$ to the power of $240$ .

$100 \cdot \frac{1 - 1 \cdot 10.89255365}{1 - 1.01}$

Step 1.2

Multiply $- 1$ by $10.89255365$ .

$100 \cdot \frac{1 - 10.89255365}{1 - 1.01}$

Step 1.3

Subtract $10.89255365$ from $1$ .

$100 \cdot \frac{- 9.89255365}{1 - 1.01}$

Step 2

Simplify terms.

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Step 2.1

Subtract $1.01$ from $1$ .

$100 \cdot \frac{- 9.89255365}{- 0.01}$

Step 2.2

Cancel the common factor of $0.01$ .

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Step 2.2.1

Factor $0.01$ out of $100$ .

$0.01 (10000) \cdot \frac{- 9.89255365}{- 0.01}$

Step 2.2.2

Factor $0.01$ out of $- 0.01$ .

$0.01 \cdot 10000 \cdot \frac{- 9.89255365}{0.01 \cdot - 1}$

Step 2.2.3

Cancel the common factor.

$0.01 \cdot 10000 \cdot \frac{- 9.89255365}{0.01 \cdot - 1}$

Step 2.2.4

Rewrite the expression.

$10000 \cdot \frac{- 9.89255365}{- 1}$

Step 2.3

Combine $10000$ and $\frac{- 9.89255365}{- 1}$ .

$\frac{10000 \cdot - 9.89255365}{- 1}$

Step 2.4

Simplify the expression.

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Step 2.4.1

Multiply $10000$ by $- 9.89255365$ .

$\frac{- 98925.53653873}{- 1}$

Step 2.4.2

Divide $- 98925.53653873$ by $- 1$ .

$98925.53653873$