What is 150e^{-0.02(5)}(1-0.02(5)) ?

The solution to 150e^{-0.02(5)}(1-0.02(5)) is 122.15305…

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simplify 150e^{-0.02(5)}(1-0.02(5))

simplify

150 e^{- 0.02 (5)} (1 - 0.02 (5))

122.15305 \dots

Solution steps

150 e^{- 0.02 (5)} (1 - 0.02 (5))

Apply exponent rule:

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

= 150 \cdot \frac{1}{e ^{5 \cdot 0.02}} (1 - 5 \cdot 0.02)

Multiply the numbers:

0.02 \cdot 5 = 0.1

= 150 \cdot \frac{1}{e ^{0.1}} (1 - 0.1)

Subtract the numbers:

1 - 0.1 = 0.9

= 150 \cdot 0.9 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= 0.9 \cdot \frac{1 \cdot 150}{e ^{0.1}}

\frac{1 \cdot 150}{e ^{0.1}} = 135.72561 \dots

= 0.9 \cdot 135.72561 \dots

Multiply the numbers:

0.9 \cdot 135.72561 \dots = 122.15305 \dots

= 122.15305 \dots

t erre l l^{^{'}} s

(1 + x) e^{- x^{2}}

\frac{1}{2} (lo g_{6} (k^{9}) - lo g_{6} (k^{3}))

(23) 2

- 2^{2} e^{- 2}

What is 150e^{-0.02(5)}(1-0.02(5)) ?
The solution to 150e^{-0.02(5)}(1-0.02(5)) is 122.15305…