Finite Math Examples

$5227.5 = 5100 (1 + 0.25 r)$

Step 1

Rewrite the equation as $5100 (1 + 0.25 r) = 5227.5$ .

$5100 (1 + 0.25 r) = 5227.5$

Step 2

Divide each term in $5100 (1 + 0.25 r) = 5227.5$ by $5100$ and simplify.

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Step 2.1

Divide each term in $5100 (1 + 0.25 r) = 5227.5$ by $5100$ .

$\frac{5100 (1 + 0.25 r)}{5100} = \frac{5227.5}{5100}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5100$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5100 (1 + 0.25 r)}{5100} = \frac{5227.5}{5100}$

Step 2.2.1.2

Divide $1 + 0.25 r$ by $1$ .

$1 + 0.25 r = \frac{5227.5}{5100}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $5227.5$ by $5100$ .

$1 + 0.25 r = 1.025$

Step 3

Move all terms not containing $r$ to the right side of the equation.

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Step 3.1

Subtract $1$ from both sides of the equation.

$0.25 r = 1.025 - 1$

Step 3.2

Subtract $1$ from $1.025$ .

$0.25 r = 0.025$

Step 4

Divide each term in $0.25 r = 0.025$ by $0.25$ and simplify.

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Step 4.1

Divide each term in $0.25 r = 0.025$ by $0.25$ .

$\frac{0.25 r}{0.25} = \frac{0.025}{0.25}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.25$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.25 r}{0.25} = \frac{0.025}{0.25}$

Step 4.2.1.2

Divide $r$ by $1$ .

$r = \frac{0.025}{0.25}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0.025$ by $0.25$ .

$r = 0.1$