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emmasim [6.3K]
3 years ago
7

Daniel's gross weekly pay is $882.96. When he gets his first paycheck, Daniel notices that payroll taxes have already been deduc

ted from his pay. Payroll taxes include Social Security tax and Medicare tax.
Use the table to complete the statement.

Select the correct answer from each drop-down menu.

Payroll Tax Rates
Social Security tax rate 6.20%
Medicare tax rate 1.45%
Total payroll taxes 7.65%

Based on the payroll tax rate table, in every weekly paycheck Daniel will pay___1___in social Security tax and___2__in Medicare tax.

1)
A$53.75
B$54.74
C$56.76

2)
A$10.70
B$11.60
C$12.80
Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer: 1) $54.74

2) $12.80

Step-by-step explanation:

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If you're using the app, try seeing this answer through your browser:  brainly.com/question/2862279

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Simplify the trigonometric expression.

Call the expression E:

\mathsf{E=\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}\qquad\qquad(but~~1-sin^2\,\theta=cos^2\,\theta)}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\sqrt{cos^2\,\theta}}}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\left|cos\,\theta\right|}}}


\mathsf{E}=\left\{\!\begin{array}{rl}\mathsf{\dfrac{sin\,\theta}{cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta>0}\\\\\mathsf{\dfrac{sin\,\theta}{-\,cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta


So basically E is equivalent to \pm\,\mathsf{tan\,\theta}, where the sign depends on which quadrant \theta lies. Shortly,

\mathsf{\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}}=\left\{\!
\begin{array}{rl}
\mathsf{tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~1^{st}~or~the~4^{th}~quadrant}\\\\
\mathsf{-\,tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~2^{nd}~or~the~3^{rd}~quadrant}
\end{array}


I hope this helps. =)


Tags:  <em>simplify trigonometric trig expression sine cosine tangent sin cos tan absolute value modulus trigonometry</em>

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