Basic Math Examples

$50000 = P {(1 + \frac{0.03}{4})}^{4 \cdot 26}$

Step 1

Rewrite the equation as $P {(1 + \frac{0.03}{4})}^{4 \cdot 26} = 50000$ .

$P {(1 + \frac{0.03}{4})}^{4 \cdot 26} = 50000$

Step 2

Simplify.

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Step 2.1

Multiply $4$ by $26$ .

$P {(1 + \frac{0.03}{4})}^{104} = 50000$

Step 2.2

Divide $0.03$ by $4$ .

$P {(1 + 0.0075)}^{104} = 50000$

Step 2.3

Add $1$ and $0.0075$ .

$P \cdot {1.0075}^{104} = 50000$

Step 3

Divide each term in $P \cdot {1.0075}^{104} = 50000$ by ${1.0075}^{104}$ and simplify.

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Step 3.1

Divide each term in $P \cdot {1.0075}^{104} = 50000$ by ${1.0075}^{104}$ .

$\frac{P \cdot {1.0075}^{104}}{{1.0075}^{104}} = \frac{50000}{{1.0075}^{104}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of ${1.0075}^{104}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{P \cdot {1.0075}^{104}}{{1.0075}^{104}} = \frac{50000}{{1.0075}^{104}}$

Step 3.2.1.2

Divide $P$ by $1$ .

$P = \frac{50000}{{1.0075}^{104}}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Raise $1.0075$ to the power of $104$ .

$P = \frac{50000}{2.17513241}$

Step 3.3.2

Divide $50000$ by $2.17513241$ .

$P = 22987.10627974$