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Grace [21]
2 years ago
7

Most people know that social security and medicare taxes are deducted from their paychecks. As a new restaurant owner, you learn

that you have to match these payments as the employer. You have budgeted a yearly payroll of $500,000. The taxes are 6.25% for social security and 1.4% for medicare. What will your yearly payroll really cost you with these taxes added?
Mathematics
1 answer:
vredina [299]2 years ago
7 0

Answer:

The yearly payroll will cost the employer $538,250.

Step-by-step explanation:

a) Data and Calculations:

Budgeted payroll = $500,000

Social security tax rate = 6.25%

Medicare tax rate = 1.4%

Social security tax = $31,250 ($500,000 * 6.25%)

Medicare tax amount= $7,000 ($500,000 * 1.4%)

Total taxes amount = $38,250

The total yearly payroll cost should be put at $538,250 ($500,000 + 38,250).  This means that as the employees pay taxes amounting to $38,20, the employer will also pay matching taxes amounting to $38,250.

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following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to  4a-2b+3 = 4\\\\  \therefore \ \ 4a-2b = 1\\\\

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\  

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\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3

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In equation a multiply the by -2 and then add in the equation b:

\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to   a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to   -2b = -1\\\\ \to b = \frac{1}{2}  

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The expression under the square root cannot be negative, thus

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x ≥ 2

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