Basic Math Examples

100000 = y \cdot \frac{{(1 + \frac{0.07}{12})}^{48} - 1}{\frac{0.07}{1}}

$100000 = y \cdot \frac{{(1 + \frac{0.07}{12})}^{48} - 1}{\frac{0.07}{1}}$

Step 1

Rewrite the equation as

$y \cdot \frac{{(1 + \frac{0.07}{12})}^{48} - 1}{\frac{0.07}{1}} = 100000$ .

$y \cdot \frac{{(1 + \frac{0.07}{12})}^{48} - 1}{\frac{0.07}{1}} = 100000$

Step 2

Simplify.

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Step 2.1

Divide

$0.07$ by

$1$ .

$y \cdot \frac{{(1 + \frac{0.07}{12})}^{48} - 1}{0.07} = 100000$

Step 2.2

Divide

$0.07$ by

$12$ .

$y \cdot \frac{{(1 + 0.0058\overline{3})}^{48} - 1}{0.07} = 100000$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Add

$1$ and

$0.0058\overline{3}$ .

$y \cdot \frac{{1.0058\overline{3}}^{48} - 1}{0.07} = 100000$

Step 2.3.2

Raise

$1.0058\overline{3}$ to the power of

$48$ .

$y \cdot \frac{1.32205387 - 1}{0.07} = 100000$

Step 2.3.3

Subtract

$1$ from

$1.32205387$ .

$y \cdot \frac{0.32205387}{0.07} = 100000$

Step 2.4

Divide

$0.32205387$ by

$0.07$ .

$y \cdot 4.60076968 = 100000$

Step 3

Divide each term in

$y \cdot 4.60076968 = 100000$ by

$4.60076968$ and simplify.

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Step 3.1

Divide each term in

$y \cdot 4.60076968 = 100000$ by

$4.60076968$ .

$\frac{y \cdot 4.60076968}{4.60076968} = \frac{100000}{4.60076968}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$4.60076968$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{y \cdot 4.60076968}{4.60076968} = \frac{100000}{4.60076968}$

Step 3.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{100000}{4.60076968}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$100000$ by

$4.60076968$ .

$y = 21735.49359493$