Calculus Examples

$V (6) = 1000 {(1 + 0.01 r)}^{5}$

Step 1

Divide each term in $V (6) = 1000 {(1 + 0.01 r)}^{5}$ by $6$ .

$\frac{V \cdot 6}{6} = \frac{1000 {(1 + 0.01 r)}^{5}}{6}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{V \cdot 6}{6} = \frac{1000 {(1 + 0.01 r)}^{5}}{6}$

Step 2.1.2

Divide $V$ by $1$ .

$V = \frac{1000 {(1 + 0.01 r)}^{5}}{6}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $1000$ and $6$ .

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Step 3.1.1

Factor $2$ out of $1000 {(1 + 0.01 r)}^{5}$ .

$V = \frac{2 (500 {(1 + 0.01 r)}^{5})}{6}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $6$ .

$V = \frac{2 (500 {(1 + 0.01 r)}^{5})}{2 (3)}$

Step 3.1.2.2

Cancel the common factor.

$V = \frac{2 (500 {(1 + 0.01 r)}^{5})}{2 \cdot 3}$

Step 3.1.2.3

Rewrite the expression.

$V = \frac{500 {(1 + 0.01 r)}^{5}}{3}$