What is 0.9*e^{-0.0115*60} ?

The solution to 0.9*e^{-0.0115*60} is 0.45141…

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simplify 0.9e^{-0.011560}

simplify

0.9 \cdot e^{- 0.0115 \cdot 60}

0.45141 \dots

Solution steps

0.9 e^{- 0.0115 \cdot 60}

Apply exponent rule:

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

= 0.9 \cdot \frac{1}{e ^{60 \cdot 0.0115}}

Multiply the numbers:

0.0115 \cdot 60 = 0.69

= 0.9 \cdot \frac{1}{e ^{0.69}}

Multiply fractions:

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

= \frac{1 \cdot 0.9}{e ^{0.69}}

Multiply the numbers:

1 \cdot 0.9 = 0.9

= \frac{0.9}{e ^{0.69}}

e^{0.69} = 1.99371 \dots

= \frac{0.9}{1.99371 \dots}

Divide the numbers:

\frac{0.9}{1.99371 \dots} = 0.45141 \dots

= 0.45141 \dots

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