Basic Math Examples

$50000 = 25000 {(1 + r)}^{7}$

Step 1

Rewrite the equation as $25000 {(1 + r)}^{7} = 50000$ .

$25000 {(1 + r)}^{7} = 50000$

Step 2

Divide each term in $25000 {(1 + r)}^{7} = 50000$ by $25000$ and simplify.

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Step 2.1

Divide each term in $25000 {(1 + r)}^{7} = 50000$ by $25000$ .

$\frac{25000 {(1 + r)}^{7}}{25000} = \frac{50000}{25000}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $25000$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{25000 {(1 + r)}^{7}}{25000} = \frac{50000}{25000}$

Step 2.2.1.2

Divide ${(1 + r)}^{7}$ by $1$ .

${(1 + r)}^{7} = \frac{50000}{25000}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $50000$ by $25000$ .

${(1 + r)}^{7} = 2$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$1 + r = \sqrt[7]{2}$

Step 4

Subtract $1$ from both sides of the equation.

$r = \sqrt[7]{2} - 1$

Step 5

The result can be shown in multiple forms.

Exact Form:

$r = \sqrt[7]{2} - 1$

Decimal Form:

$r = 0.10408951 \dots$