簡約 100e^{-(0.031)(20)}

解

簡約

100 e^{- (0.031) (20)}

53.79444 \dots

解答ステップ

100 e^{- (0.031) (20)}

指数の規則を適用する:

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

= 100 \cdot \frac{1}{e ^{20 \cdot 0.031}}

数を乗じる:

0.031 \cdot 20 = 0.62

= 100 \cdot \frac{1}{e ^{0.62}}

分数を乗じる:

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

= \frac{1 \cdot 100}{e ^{0.62}}

数を乗じる:

1 \cdot 100 = 100

= \frac{100}{e ^{0.62}}

e^{0.62} = 1.85892 \dots

= \frac{100}{1.85892 \dots}

数を割る:

\frac{100}{1.85892 \dots} = 53.79444 \dots

= 53.79444 \dots