Finite Math Examples

$F V = \frac{2000 ({(1 + 0.072)}^{20} - 1)}{0.072}$

Step 1

Simplify.

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Step 1.1

Simplify each term.

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Step 1.1.1

Add $1$ and $0.072$ .

$F V = \frac{2000 ({1.072}^{20} - 1)}{0.072}$

Step 1.1.2

Raise $1.072$ to the power of $20$ .

$F V = \frac{2000 (4.01694335 - 1)}{0.072}$

Step 1.2

Subtract $1$ from $4.01694335$ .

$F V = \frac{2000 \cdot 3.01694335}{0.072}$

Step 1.3

Multiply $2000$ by $3.01694335$ .

$F V = \frac{6033.88670207}{0.072}$

Step 1.4

Divide $6033.88670207$ by $0.072$ .

$F V = 83803.9819733$

Step 2

Divide each term in $F V = 83803.9819733$ by $F$ and simplify.

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Step 2.1

Divide each term in $F V = 83803.9819733$ by $F$ .

$\frac{F V}{F} = \frac{83803.9819733}{F}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $F$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{F V}{F} = \frac{83803.9819733}{F}$

Step 2.2.1.2

Divide $V$ by $1$ .

$V = \frac{83803.9819733}{F}$