Finite Math Examples

$\frac{14000 (\frac{0.07}{12})}{{(1 + \frac{0.07}{12})}^{- 12 \cdot 3}}$

Step 1

Move ${(1 + \frac{0.07}{12})}^{- 12 \cdot 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$14000 (\frac{0.07}{12}) {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 2

Combine $14000$ and $\frac{0.07}{12}$ .

$\frac{14000 \cdot 0.07}{12} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 3

Cancel the common factor of $14000$ and $12$ .

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Step 3.1

Factor $4$ out of $14000 \cdot 0.07$ .

$\frac{4 (3500 \cdot 0.07)}{12} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $12$ .

$\frac{4 (3500 \cdot 0.07)}{4 (3)} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (3500 \cdot 0.07)}{4 \cdot 3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{3500 \cdot 0.07}{3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 4

Multiply $3500$ by $0.07$ .

$\frac{245}{3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 5

Cancel the common factor of $245$ and $3$ .

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Step 5.1

Rewrite $245$ as $1 (245)$ .

$\frac{1 (245)}{3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Rewrite $3$ as $1 (3)$ .

$\frac{1 \cdot 245}{1 \cdot 3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{1 \cdot 245}{1 \cdot 3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{245}{3} {(1 + \frac{0.07}{12})}^{12 \cdot 3}$

Step 6

Simplify the expression.

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Step 6.1

Divide $0.07$ by $12$ .

$\frac{245}{3} {(1 + 0.0058\overline{3})}^{12 \cdot 3}$

Step 6.2

Add $1$ and $0.0058\overline{3}$ .

$\frac{245}{3} \cdot {1.0058\overline{3}}^{12 \cdot 3}$

Step 6.3

Multiply $12$ by $3$ .

$\frac{245}{3} \cdot {1.0058\overline{3}}^{36}$

Step 6.4

Raise $1.0058\overline{3}$ to the power of $36$ .

$\frac{245}{3} \cdot 1.23292558$

Step 7

Multiply $\frac{245}{3} \cdot 1.23292558$ .

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Step 7.1

Combine $\frac{245}{3}$ and $1.23292558$ .

$\frac{245 \cdot 1.23292558}{3}$

Step 7.2

Multiply $245$ by $1.23292558$ .

$\frac{302.06676893}{3}$

Step 8

Divide $302.06676893$ by $3$ .

$100.68892297$