A 4m thick clayey layer was initially water saturated with water content w = 34%, and in situ effective stress σzo’ = 31 kPa. Clearly state your assumptions to determine: a) The total settlement in this clay layer, if the final void ratio after consolidation is ef = 0.75. b) If OCR = 2.2, the construction of an embankment at this site induces 48.5 kPa additional load, what will be the total settlement at this site? Assuming Cc = 0.3 and Cr = 0.06. (c) What will be the settlement after 10 years of consolidation, assuming Cv = 3.2 × 10-7 cm2 /sec and double drainage condition.

(a) Find the margin of error for the given values of​ c, σ​, and n. c = 0.90​, σ = 3.8​, n = 100

E= _ (Round to three decimal places as​ needed.)

(b) Construct the confidence interval for the population mean μ.

c = 0.90 ​, x=9.1​, σ = 0.3 ​, and n = 47

A 90​% confidence interval for μ is _, _ (Round to two decimal places as​ needed.)

(c)  Construct the confidence interval for the population mean μ.

c=0.95 , x=16.2, σ =2.0, and n =35

A 95​% confidence interval for μ is _, _ (Round to two decimal places as​ needed.)

A.EACH $ 5  BILLION INCREASE IN MONEY SUPPLY REDUCES THE RATE OF INTEREST BY 0.3 PERCENTAGE POINT

B.EACH 1 PERCENTAGE DECLINE IN INTEREST RATES STIMULATE 24 BILLION WORTH OF NEW INVESTMMENT.

C.MPC = 0.75 .

D.THE AGGREGATE SUPPLY CURVE IS SO FLAT PRICES DO NOT RISE NOTICABLY (NO INFLATION) WHEN DEMAND INCREASES. MAKE SURE DO ALL CALCULATION AS WELL PROPPER GRAPHS

Occupancy data from a single loop detector was obtained from a one way street. The loop detector has a length of 6 feet and was observed to have six vehicles cross over it in a period of 30 seconds. The duration and the length of each vehicle are shown in the table below. Use the average vehicle length in your calculations. Estimate the values of q, k and u (flow, density and speed)

Question B5

(a) A very hot 0.8 kg copper cylinder at temperature 365.84℃ is dropped into a 0.2 kg copper bowl contains 0.3 kg of water at 20℃. The final temperature of the system is 85℃. Given that specific heat of copper 386 J/kg·K and specific heat of water 4190 J/kg·K.

(i) Find the entropy change ∆S1 of the copper bowl and water.

(ii) Find the entropy change ∆S2 of the copper cylinder.

(iii) Find the net entropy change ∆Snet of the system. Is the process reversible or irreversible?

(b) What are the four processes of Carnot cycle?

1. A cylindrical shell is 3 m long; 1 m in diameter and the thickness of metal is 10 mm. It is subjected to an internal pressure of 150 N/cm². Calculate the change in dimensions of the shell and the maximum intensity of shear stress induced. Given E= 200 GPa and Poisson’s ratio =0.3.

b. Two shafts of the same material and same lengths are subjected to the same torque. If the first shaft is of a solid circular section, the second shaft is of hollow circular section, whose internal diameter is 2/3 of the outside diameter and the maximum shear stress developed in each shaft is the same, compare the weights of the shafts

The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.

a. Use α = 0.3 to compute the exponential smoothing values for the time series. Compute MSE and the forecast of profit (in $1000s) for the next quarter.

Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (15%) (28%) 0.2 6 0 0.3 16 22 0.3 24 28 0.1 38 47 Calculate the expected rate of return, rB, for Stock B (rA = 15.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 19.85%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.

1. Today is your 25^th birthday. Your goal is to retire when you turn 70 years old and have sufficient monthly income until your expected demise on your 99^th birthday. In order to realize your goal, you are planning to make deposits into a target-date retirement fund that is expected to generate 7.8% annual return, compounded monthly. You want to be able to make monthly withdrawals from this fund starting one month after your retirement until your expected demise. These monthly withdrawals will increase by 0.3% a month in order to compensate for the expected increase in price levels. Retirees are able to survive on $2,000 monthly income today. Your first withdrawal one month after your 70^th birthday, therefore, will be $2,000 adjusted for 0.3% expected monthly inflation.

1. You are planning to make equal annual deposits starting one year from today until you retire. Calculate your deposits.
2. You are planning to make annual deposits starting one year from today until you retire. However, you believe that you can increase your deposits 4% a year in line with the expected increase in your income. Calculate your first deposit.
3. You are expecting inheritance money in the amount of $200,000 when you turn 50 years old and planning to deposit this amount immediately into the fund. Based on this expectation, recalculate your answer to part b.