Precalculus Examples

$y = 525 (1 - e^{- 0.038 \cdot 24})$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 0.038$ by $24$ .

$y = 525 (1 - e^{- 0.912})$

Step 1.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$y = 525 (1 - \frac{1}{e^{0.912}})$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

$y = 525 \cdot 1 + 525 (- \frac{1}{e^{0.912}})$

Step 2.2

Multiply $525$ by $1$ .

$y = 525 + 525 (- \frac{1}{e^{0.912}})$

Step 3

Multiply $525 (- \frac{1}{e^{0.912}})$ .

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Step 3.1

Multiply $- 1$ by $525$ .

$y = 525 - 525 \frac{1}{e^{0.912}}$

Step 3.2

Combine $- 525$ and $\frac{1}{e^{0.912}}$ .

$y = 525 + \frac{- 525}{e^{0.912}}$

Step 4

Move the negative in front of the fraction.

$y = 525 - \frac{525}{e^{0.912}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = 525 - \frac{525}{e^{0.912}}$

Decimal Form:

$y = 314.09701044 \dots$