Phil Phoenix is paid monthly. For the month of January of the current year, he earned a total of $8,000. The FICA tax rate for social security is 6.2%, and the FICA tax rate for Medicare is 1.45%. The FUTA tax rate is 0.8%, and the SUTA tax rate is 5.4%. Both unemployment taxes are applied to the first $8,000 of an employee's pay. The amount of federal income tax withheld from his earnings was $1,000. His net pay for the month is ________.

Air enters the compressor of an air-standard Brayton cycle with a volumetric flow rate of 60 m³/s at 0.8 bar, 280 K. The compressor pressure ratio is 17.5, and the maximum cycle temperature is 1950 K. For the compressor, the isentropic efficiency is 92% and for the turbine the isentropic efficiency is 95%.


Determine:

(a) the net power developed, in kW.

(b) the rate of heat addition in the combustor, in kW.

(c) the percent thermal efficiency of the cycle.

Need some help with those questions. Thank you so much

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The actual weight of coal loaded into each car are normally distributed with a mean of 75 tons and a standard deviation of 0.8 tons.  Let  be the average coal weight of a random sample of 20 cars.

1. Calculate the mean and the standard deviation of , and describe the shape of its sampling distribution.
2. What is the probability that the mean coal weight of the random sample of 20 cars is less than 74.5 tons?

Net U.S. energy imports have decreased every year since 2016. Last year’s change in net energy trade
(crude oil, natural gas, coal, and petroleum products) in the U.S.—from 3.6 quads of net imports in 2018 to
0.8 quads of net exports in 2019—was the largest change in U.S. energy trade since 1980. How would the
low oil price affect the U.S. crude oil trade (import and export) in 2020? Apply the D-S model.

A large fish strikes bait cast by a fisherman with a rod and reel. The fish creates tension in the line of 63.7 N. How many revolutions of the reel occur in 0.8 s if the reel has a moment of inertia of 4.9 × 10-3 kg·m2 and the radial distance of the line from the reel’s axis is 3.4 cm? Assume the reel has negligible friction. (The units for your answer should be rev) I got 0.0001146 rev but it is incorrect, what did I do wrong?

Consider the reaction:

2 NO₂ (g) ⇌ N₂O₄ (g)

The ΔGf° for NO₂ (g) = 52 kJ/mol and for N₂O₄ (g) = 98 kJ/mol at 298 K.

Calculate the ΔG at the following values.

0.8 M NO₂ (g) & 3.0 M N₂O₄ (g)

4.0 M NO₂ (g) & 0.9 M N₂O₄ (g)

2.2 M NO₂ (g) & 2.4 M N₂O₄ (g)

2.4 M NO₂ (g) & 2.2 M N₂O₄ (g)

West Coast Containers manufactures a high quality container in which to ship electronic equipment. Actual production was 18,000 containers using 9,500 machine-hours. Actual variable costs were $20 per machine-hour. The current year operating budget is based on production of 20,000 containers with 0.8 machine-hour allowed per container. Variable manufacturing overhead is anticipated to be $220,000. Calculate the variable overhead rate and efficiency variances. Calculations s/b 2 decimal places.

In a sample of 50 participants, you are interested in learning about the participants' health and hygiene habits. Construct confidence interval estimates regarding student health and hygiene behavior

1a. Of the 50 participants, 33 reported seeking healthcare services at least once a year. Construct a 99% confidence interval for this, and interpret

1b. The 50 participants reported a mean of 2.5 visits to seek healthcare services per year, with a standard deviation of 0.8 times. Construct a 95% confidence interval for number of visits and interpret: