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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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A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig
elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 9000 ft^2 then 9000=xy

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)]  by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

& 9000=xy

& y=\frac{9000}{x} \\  & A=(x-10)(y-6) \\  & A=xy-6x-10y+60 \\  & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\  & A=9060-6x-\frac{9000}{x} \\

On taking the first order derivative of A

\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]

& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\          & 6{{x}^{2}}=90000 \\          & x=\sqrt{15000} \\          & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\

• Hence \[x=10\sqrt{150}\] and \[y=\frac{900}{\sqrt{150}}\]

Learn More about Differentiation Here:

brainly.com/question/13012860

7 0
2 years ago
Read 2 more answers
· The list price of an article is 25% above the selling price and the cost
dem82 [27]

Answer:

p=25%

discount=25%

Step-by-step explanation:

Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x

Cost Price = .75x

S P = C+P

Profit = Selling price - Cost price

= x - 0.75x

=0.25x

the Profit is 25 %

Discount is 25 %

6 0
2 years ago
1.<br> What is the solution?<br> y<br> 3<br> -3-2-1<br> 2 3x<br> O (1,2)<br> O (1,-1)<br> O 1<br> 02
Rama09 [41]

9514 1404 393

Answer:

  (d)  Infinitely Many Solutions

Step-by-step explanation:

Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...

  Infinitely Many Solutions

4 0
3 years ago
Help me with this,i really forgot how to do these type of questions
Montano1993 [528]
Work=speed times time (my equation to help me figure it out)

ok, 10 men take 84 days to complete a job
therefor, each man completes 1/10 of the job in 84 days
each man does 1/840 of the job per 1 day

so, if we had 5 more, or 15 men

15 times 1/840 times xdays=1 job complete
15/840 times xdays=1job
times both sides by 840/15
xdays=840/15
xdays=56
56 days it would take
5 0
3 years ago
Plsss helpppp what’s the shape?
Alborosie
The shape shown here is a triangular pyramid, because it has a triangular base and a pointy tip.
4 0
3 years ago
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