The sales tax in your city is 4.4% and an item costs $3 before tax.How much tax would you pay on that item?

2 answers:

5 0

$ with Tax= $3 + ($3 * 4.4%)
$ with Tax= $3 + ($3 * 0.044)
$ with Tax= $3 + $0.13
$ with Tax= $3.13

Hope this helps! :)

kotykmax [81]3 years ago

5 0

You would get $0.13 cents
Hope this has helped!

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lapo4ka [179]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now, with that template in mind, let's take a peek at yours

$\bf \begin{array}{lllcclll}
f(t)=&6sin(&3t&-\frac{\pi }{6})&-1\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
period\qquad \cfrac{2\pi }{B}\iff\cfrac{2\pi }{3}$

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A researcher is wondering whether the smoking habits of young adults (18-25 years of age) in a certain city in the U.S. are diff

kvasek [131]

Answer:

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Step-by-step explanation:

The hypothesis for the test can be defined as:

H₀: The proportion of young adults (18-25 years of age) in a certain city in the U.S. are not different from the actual proportion, i.e. P = p.

Hₐ: The proportion of young adults (18-25 years of age) in a certain city in the U.S. are different from the actual proportion, i.e. P ≠ p.

The test statistic is defined as:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}$

Assume that the significance level of the test is, α = 0.05.

The decision rule is:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected. And vice-versa.

It is provided that the p-value of the test is, p-value = 0.076.

The p-value = 0.076 > α = 0.05.

Thus, the null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The proportion of young adults (18-25 years of age) in a certain city in the U.S. are not different from the proportion of the general population of young adults in the U.S.

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Answer:

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3 years ago

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