What is 250*e^{-0.04(12)} ?

The solution to 250*e^{-0.04(12)} is 154.69584…

Popular >

simplify 250*e^{-0.04(12)}

simplify

250 \cdot e^{- 0.04 (12)}

154.69584 \dots

Solution steps

250 e^{- 0.04 (12)}

Apply exponent rule:

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

= 250 \cdot \frac{1}{e ^{12 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 12 = 0.48

= 250 \cdot \frac{1}{e ^{0.48}}

Multiply fractions:

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

= \frac{1 \cdot 250}{e ^{0.48}}

Multiply the numbers:

1 \cdot 250 = 250

= \frac{250}{e ^{0.48}}

e^{0.48} = 1.61607 \dots

= \frac{250}{1.61607 \dots}

Divide the numbers:

\frac{250}{1.61607 \dots} = 154.69584 \dots

= 154.69584 \dots

\frac{( a + 1 ) ^{2}}{( a - 1 ) ^{2}}

(\frac{14}{10} t + 0.31)^{- 2} d t

2 e^{- t} cos (\frac{π t}{2})

500000 [1 + (16) (0.0123)]^{- 1}