Basic Math Examples

4000 (1 + (0.035) (\frac{9}{12}))

$4000 (1 + (0.035) (\frac{9}{12}))$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

9

$9$ and

12

$12$ .

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Step 1.1.1

Factor

3

$3$ out of

9

$9$ .

4000 (1 + 0.035 \frac{3 (3)}{12})

$4000 (1 + 0.035 \frac{3 (3)}{12})$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor

3

$3$ out of

12

$12$ .

4000 (1 + 0.035 \frac{3 \cdot 3}{3 \cdot 4})

$4000 (1 + 0.035 \frac{3 \cdot 3}{3 \cdot 4})$

Step 1.1.2.2

Cancel the common factor.

4000 (1 + 0.035 \frac{3 \cdot 3}{3 \cdot 4})

$4000 (1 + 0.035 \frac{3 \cdot 3}{3 \cdot 4})$

Step 1.1.2.3

Rewrite the expression.

4000 (1 + 0.035 (\frac{3}{4}))

$4000 (1 + 0.035 (\frac{3}{4}))$

4000 (1 + 0.035 (\frac{3}{4}))

$4000 (1 + 0.035 (\frac{3}{4}))$

4000 (1 + 0.035 (\frac{3}{4}))

$4000 (1 + 0.035 (\frac{3}{4}))$

Step 1.2

Multiply

0.035 (\frac{3}{4})

$0.035 (\frac{3}{4})$ .

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Step 1.2.1

Combine

0.035

$0.035$ and

\frac{3}{4}

$\frac{3}{4}$ .

4000 (1 + \frac{0.035 \cdot 3}{4})

$4000 (1 + \frac{0.035 \cdot 3}{4})$

Step 1.2.2

Multiply

0.035

$0.035$ by

3

$3$ .

4000 (1 + \frac{0.105}{4})

$4000 (1 + \frac{0.105}{4})$

4000 (1 + \frac{0.105}{4})

$4000 (1 + \frac{0.105}{4})$

Step 1.3

Divide

0.105

$0.105$ by

4

$4$ .

4000 (1 + 0.02625)

$4000 (1 + 0.02625)$

4000 (1 + 0.02625)

$4000 (1 + 0.02625)$

Step 2

Simplify the expression.

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Step 2.1

Add

1

$1$ and

0.02625

$0.02625$ .

4000 \cdot 1.02625

$4000 \cdot 1.02625$

Step 2.2

Multiply

4000

$4000$ by

1.02625

$1.02625$ .

4105

$4105$

4105

$4105$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$