Basic Math Examples

$25020 (\frac{25 r {(1 + \frac{0.04}{12})}^{299} - {(1 + \frac{0.04}{12})}^{300} + 1}{{0.04}^{2}}) (0.002)$

Step 1

Simplify the numerator.

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Step 1.1

Divide $0.04$ by $12$ .

$25020 \frac{25 r {(1 + 0.00\overline{3})}^{299} - {(1 + \frac{0.04}{12})}^{300} + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.2

Add $1$ and $0.00\overline{3}$ .

$25020 \frac{25 r \cdot {1.00\overline{3}}^{299} - {(1 + \frac{0.04}{12})}^{300} + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.3

Raise $1.00\overline{3}$ to the power of $299$ .

$25020 \frac{25 r \cdot 2.70474932 - {(1 + \frac{0.04}{12})}^{300} + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.4

Multiply $2.70474932$ by $25$ .

$25020 \frac{67.61873317 r - {(1 + \frac{0.04}{12})}^{300} + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.5

Divide $0.04$ by $12$ .

$25020 \frac{67.61873317 r - {(1 + 0.00\overline{3})}^{300} + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.6

Add $1$ and $0.00\overline{3}$ .

$25020 \frac{67.61873317 r - {1.00\overline{3}}^{300} + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.7

Raise $1.00\overline{3}$ to the power of $300$ .

$25020 \frac{67.61873317 r - 1 \cdot 2.71376515 + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.8

Multiply $- 1$ by $2.71376515$ .

$25020 \frac{67.61873317 r - 2.71376515 + 1}{{0.04}^{2}} \cdot 0.002$

Step 1.9

Add $- 2.71376515$ and $1$ .

$25020 \frac{67.61873317 r - 1.71376515}{{0.04}^{2}} \cdot 0.002$

Step 2

Simplify terms.

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Step 2.1

Raise $0.04$ to the power of $2$ .

$25020 \frac{67.61873317 r - 1.71376515}{0.0016} \cdot 0.002$

Step 2.2

Cancel the common factor of $0.0016$ .

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Step 2.2.1

Factor $0.0016$ out of $25020$ .

$0.0016 (15637500) \frac{67.61873317 r - 1.71376515}{0.0016} \cdot 0.002$

Step 2.2.2

Cancel the common factor.

$0.0016 \cdot 15637500 \frac{67.61873317 r - 1.71376515}{0.0016} \cdot 0.002$

Step 2.2.3

Rewrite the expression.

$15637500 (67.61873317 r - 1.71376515) \cdot 0.002$

Step 2.3

Apply the distributive property.

$(15637500 (67.61873317 r) + 15637500 \cdot - 1.71376515) \cdot 0.002$

Step 2.4

Multiply.

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Step 2.4.1

Multiply $67.61873317$ by $15637500$ .

$(1057387939.96670024 r + 15637500 \cdot - 1.71376515) \cdot 0.002$

Step 2.4.2

Multiply $15637500$ by $- 1.71376515$ .

$(1057387939.96670024 r - 26799002.657330\overline{2}) \cdot 0.002$

Step 2.5

Apply the distributive property.

$1057387939.96670024 r \cdot 0.002 - 26799002.657330\overline{2} \cdot 0.002$

Step 2.6

Multiply.

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Step 2.6.1

Multiply $0.002$ by $1057387939.96670024$ .

$2114775.8799334 r - 26799002.657330\overline{2} \cdot 0.002$

Step 2.6.2

Multiply $- 26799002.657330\overline{2}$ by $0.002$ .

$2114775.8799334 r - 53598.00531466$