簡約 100e^{-0.00507*24}

解

簡約

100 e^{- 0.00507 \cdot 24}

88.54316 \dots

解答ステップ

100 e^{- 0.00507 \cdot 24}

指数の規則を適用する:

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

= 100 \cdot \frac{1}{e ^{24 \cdot 0.00507}}

数を乗じる:

0.00507 \cdot 24 = 0.12168

= 100 \cdot \frac{1}{e ^{0.12168}}

分数を乗じる:

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

= \frac{1 \cdot 100}{e ^{0.12168}}

数を乗じる:

1 \cdot 100 = 100

= \frac{100}{e ^{0.12168}}

e^{0.12168} = 1.12939 \dots

= \frac{100}{1.12939 \dots}

数を割る:

\frac{100}{1.12939 \dots} = 88.54316 \dots

= 88.54316 \dots