Finite Math Examples

$3000 \cdot \frac{{(1.02)}^{50} - 1}{0.02}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $1.02$ to the power of $50$ .

$3000 \cdot \frac{2.69158802 - 1}{0.02}$

Step 1.2

Subtract $1$ from $2.69158802$ .

$3000 \cdot \frac{1.69158802}{0.02}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $0.02$ .

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Step 2.1.1

Factor $0.02$ out of $3000$ .

$0.02 (150000) \cdot \frac{1.69158802}{0.02}$

Step 2.1.2

Cancel the common factor.

$0.02 \cdot 150000 \cdot \frac{1.69158802}{0.02}$

Step 2.1.3

Rewrite the expression.

$150000 \cdot 1.69158802$

Step 2.2

Multiply $150000$ by $1.69158802$ .

$253738.20436104$