What is 5*e^{-0.003(240)} ?

The solution to 5*e^{-0.003(240)} is 2.43376…

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simplify 5*e^{-0.003(240)}

simplify

5 \cdot e^{- 0.003 (240)}

2.43376 \dots

Solution steps

5 e^{- 0.003 (240)}

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{240 \cdot 0.003}}

Multiply the numbers:

0.003 \cdot 240 = 0.72

= 5 \cdot \frac{1}{e ^{0.72}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{0.72}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{0.72}}

e^{0.72} = 2.05443 \dots

= \frac{5}{2.05443 \dots}

Divide the numbers:

\frac{5}{2.05443 \dots} = 2.43376 \dots

= 2.43376 \dots

25.5 \cdot 1 0^{- 3}

1301 (1 + \frac{0.06}{12})^{- 12}

- 5.262 \cdot 1 0^{- 4}

563.1 \cdot 1 0^{- 2}

0.3 \cdot 2 (0.3)^{1 - 1}