The Federal Insurance Contributions Act (FICA) is made up of
two items, Social Security and Medicare taxes. For 2016, the Social Security
tax rate is 6.2% on the first $118,500 wages paid. The Medicare tax rate is
1.45% on the first $200,000 and 2.35% above $200,000. Since the total earnings is
only $110,700 which is not yet taxable. So there is no taxable earnings yet.
Answer:
2.00000000e+100
Step-by-step explanation:
2
![2 \times {10}^{100} = \\ 2 \times 1.00000000e + 100= \\ 2.00000000e + 100](https://tex.z-dn.net/?f=%202%20%5Ctimes%20%7B10%7D%5E%7B100%7D%20%20%3D%20%5C%5C%20%202%20%5Ctimes%201.00000000e%20%2B%20100%3D%20%20%5C%5C%20%202.00000000e%20%2B%20100)
Answer:
The minimum score required for an A grade is 88.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 77.8, \sigma = 8.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2077.8%2C%20%5Csigma%20%3D%208.5)
Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.175 = \frac{X - 77.8}{8.5}](https://tex.z-dn.net/?f=1.175%20%3D%20%5Cfrac%7BX%20-%2077.8%7D%7B8.5%7D)
![X - 77.8 = 1.175*8.5](https://tex.z-dn.net/?f=X%20-%2077.8%20%3D%201.175%2A8.5)
![X = 87.8](https://tex.z-dn.net/?f=X%20%3D%2087.8)
Rounding to the nearest whole number
The minimum score required for an A grade is 88.
p=282 pounds per square foot =1 376.8 kg/m2
d- density of water
d≈997 kg/m³
p=d*h
h=p/d
h=1 376.8/997
h=1.38 m (about 4530 feet 105⁄64 inches)