Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.
<h3>What is a cosine?</h3>
Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.
Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,
cos(x) = -(√3)/2
(x) = cos⁻¹ [-(√3)/2]
x = 5π/6 = 150°
Now, the value of cos(x+π) will be,
cos(x+π)
= cos[(5π/6)+π]
= cos(11π/6)
= √3 / 2
Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.
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The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17
<h3>What is Federal Income Tax?</h3>
Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.
<h3>What is FICA Tax?</h3>
FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:
- Social Security Tax which is 6.2% and
- Medicare Tax which is 1.45%. The total is 7.65%
How to calculate Tonja's Tax before deduction
Federal Tax rate first level is 10% on 0$ - $19,900.
1) Hence, the first tax is 10% on $600, which is $60
2) The next tax is FICA. This is applied to the Gross Pay of $600.
Applying both taxed under FICA we have 7.65% * $600 = $45.9
Total Tax before a deduction is:
$60 + $45.9 = $105.6
The Tax Payable if childcare expenses is deducted first will be:
10% on $450 = $45
7.65% on $450 = $34.43
Total = $79.43
Hence the tax savings will be:
105.6 - 79.43 = $26.17
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Answer:
Step-by-step explanation:
Given
Required
Express in different ways
The first way is:
Subtract 2 from both sides
------ (1)
Another way is:
Subtract 3 from both sides
--- (2)
Answer:
Step-by-step explanation:
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