What is 95000e^{-0.07(30)} ?

The solution to 95000e^{-0.07(30)} is 11633.36068…

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simplify 95000e^{-0.07(30)}

simplify

95000 e^{- 0.07 (30)}

11633.36068 \dots

Solution steps

95000 e^{- 0.07 (30)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 95000 \cdot \frac{1}{e ^{30 \cdot 0.07}}

Multiply the numbers:

0.07 \cdot 30 = 2.1

= 95000 \cdot \frac{1}{e ^{2.1}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 95000}{e ^{2.1}}

Multiply the numbers:

1 \cdot 95000 = 95000

= \frac{95000}{e ^{2.1}}

e^{2.1} = 8.16616 \dots

= \frac{95000}{8.16616 \dots}

Divide the numbers:

\frac{95000}{8.16616 \dots} = 11633.36068 \dots

= 11633.36068 \dots

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