What the answer and how do you solve it pls

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

A desk costs $44, but they boost the price 150%
$44( \frac{150}{100} ) = 66

$

They are selling it at $66 (selling price)
Since Michelle sold it at $66 and she earns 20% on the selling price as commission, then it is simply

$66( \frac{20}{100} ) = ?$

That should be the commision amount michelle earns

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Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

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