Finite Math Examples

$44000 = t \cdot \frac{{(1 + 0.0066)}^{36} - 1}{0.0066}$

Step 1

Rewrite the equation as $t \cdot \frac{{(1 + 0.0066)}^{36} - 1}{0.0066} = 44000$ .

$t \cdot \frac{{(1 + 0.0066)}^{36} - 1}{0.0066} = 44000$

Step 2

Simplify.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Add $1$ and $0.0066$ .

$t \cdot \frac{{1.0066}^{36} - 1}{0.0066} = 44000$

Step 2.1.2

Raise $1.0066$ to the power of $36$ .

$t \cdot \frac{1.26721217 - 1}{0.0066} = 44000$

Step 2.1.3

Subtract $1$ from $1.26721217$ .

$t \cdot \frac{0.26721217}{0.0066} = 44000$

Step 2.2

Divide $0.26721217$ by $0.0066$ .

$t \cdot 40.48669378 = 44000$

Step 3

Divide each term in $t \cdot 40.48669378 = 44000$ by $40.48669378$ and simplify.

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Step 3.1

Divide each term in $t \cdot 40.48669378 = 44000$ by $40.48669378$ .

$\frac{t \cdot 40.48669378}{40.48669378} = \frac{44000}{40.48669378}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $40.48669378$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{t \cdot 40.48669378}{40.48669378} = \frac{44000}{40.48669378}$

Step 3.2.1.2

Divide $t$ by $1$ .

$t = \frac{44000}{40.48669378}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $44000$ by $40.48669378$ .

$t = 1086.77681202$