Finite Math Examples

$A = 2000 (1 + \frac{25}{12})$

Step 1

Simplify the expression.

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Step 1.1

Write $1$ as a fraction with a common denominator.

$A = 2000 (\frac{12}{12} + \frac{25}{12})$

Step 1.2

Combine the numerators over the common denominator.

$A = 2000 \frac{12 + 25}{12}$

Step 1.3

Add $12$ and $25$ .

$A = 2000 (\frac{37}{12})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $2000$ .

$A = 4 (500) \frac{37}{12}$

Step 2.2

Factor $4$ out of $12$ .

$A = 4 \cdot 500 \frac{37}{4 \cdot 3}$

Step 2.3

Cancel the common factor.

$A = 4 \cdot 500 \frac{37}{4 \cdot 3}$

Step 2.4

Rewrite the expression.

$A = 500 (\frac{37}{3})$

Step 3

Combine $500$ and $\frac{37}{3}$ .

$A = \frac{500 \cdot 37}{3}$

Step 4

Multiply $500$ by $37$ .

$A = \frac{18500}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$A = \frac{18500}{3}$

Decimal Form:

$A = 6166.\overline{6}$

Mixed Number Form:

$A = 6166 \frac{2}{3}$