Finite Math Examples

$91000 = 26000 (1 - \frac{{(1.047)}^{- n}}{0.047})$

Step 1

Simplify $26000 (1 - \frac{{(1.047)}^{- n}}{0.047})$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply by $1$ .

$91000 = 26000 (1 - \frac{1 \cdot {1.047}^{- n}}{0.047})$

Step 1.1.2

Factor $0.047$ out of $0.047$ .

$91000 = 26000 (1 - \frac{1 \cdot {1.047}^{- n}}{0.047 (1)})$

Step 1.1.3

Separate fractions.

$91000 = 26000 (1 - (\frac{1}{0.047} \cdot \frac{{1.047}^{- n}}{1}))$

Step 1.1.4

Divide $1$ by $0.047$ .

$91000 = 26000 (1 - (21.27659574 \frac{{1.047}^{- n}}{1}))$

Step 1.1.5

Divide ${1.047}^{- n}$ by $1$ .

$91000 = 26000 (1 - (21.27659574 \cdot {1.047}^{- n}))$

Step 1.1.6

Multiply $21.27659574$ by $- 1$ .

$91000 = 26000 (1 - 21.27659574 \cdot {1.047}^{- n})$

Step 1.2

Simplify by multiplying through.

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Step 1.2.1

Apply the distributive property.

$91000 = 26000 \cdot 1 + 26000 (- 21.27659574 \cdot {1.047}^{- n})$

Step 1.2.2

Multiply.

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Step 1.2.2.1

Multiply $26000$ by $1$ .

$91000 = 26000 + 26000 (- 21.27659574 \cdot {1.047}^{- n})$

Step 1.2.2.2

Multiply $- 21.27659574$ by $26000$ .

$91000 = 26000 - 553191.4893617 \cdot {1.047}^{- n}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution