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aalyn [17]
3 years ago
6

The tax rate as a percent, r, charged on an item can be determined using the formula StartFraction c Over p EndFraction minus 1

equals r. – 1 = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?
Mathematics
2 answers:
wariber [46]3 years ago
9 0

Answer:

The answer i had got is 43.20

Step-by-step explanation:

Likurg_2 [28]3 years ago
8 0

Answer:

$43.2

Step-by-step explanation:

Given Formula : c=p(1+r)

r is in decimals

Where c is the final cost of the item

p is the price of the item before tax.

Now we are supposed to find the final cost of a $40 item after an 8% tax is applied

So, r = 8% = 0.08

p = $40

Substitute the values in the formula :

c=40(1+0.08)

So, c=43.2

Hence  the final cost of a $40 item after an 8% tax is applied is $43.2

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Answer:

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Step-by-step explanation:

\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}

Given integral:

\displaystyle -\int \dfrac{\sin(2x)}{e^{2x}}\:\text{d}x

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\implies \displaystyle \int -e^{-2x}\sin(2x)\:\text{d}x

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\textsf{Let }\:u=\sin (2x) \implies \dfrac{\text{d}u}{\text{d}x}=2 \cos (2x)

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Therefore:

\begin{aligned}\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x & =\dfrac{1}{2}e^{-2x}\sin (2x)- \int \dfrac{1}{2}e^{-2x} \cdot 2 \cos (2x)\:\text{d}x\\\\& =\dfrac{1}{2}e^{-2x}\sin (2x)- \int e^{-2x} \cos (2x)\:\text{d}x\end{aligned}

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Divide both sides by 2:

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