Y = f(k) = k^a, where a = 0.25

S = 0.3

δ = 0.2

n = 0.05

g= 0.02

a. Find the steady state capital per effective worker, output per effective worker, investment per effective worker, and consumption per effective worker.

b. Find the steady state growth rate of capital per worker, output per worker, investment per worker, and consumption per worker.

c. Find the steady state growth rate of capital, output, investment, and consumption.

d. Show using two separate graphs the effects on the Solow growth model (i) an increase in the savings rate, and (ii) and an increase in depreciation rate, the population growth rate, or the technological growth rate.

Q-) A 25 ml of diluted bleach solution was titrated with 19.5 ml of 0.3 M of sodium thiosulfate (Na₂S₂O3), if the dilution factor = 5, then the % of NaOcl in org. bleach equals ( density of original. bleach= 1.08 g/ml) ??

A mass of 0.3 kg of saturated refrigerant-134a is contained in a piston-cylinder device at 240 kPa.
Initially, 70 percent of the mass is in the liquid phase. Now heat is transferred to the refrigerant at
constant pressure until the cylinder contains vapor only.
(a) show the process on a P-v and T-v diagrams with respect to saturation lines. Determine;
(b) the volume occupied by the refrigerant initially,
(c) the work done, and
(d) the total heat transfer.

You are given the following hypotheses: Null hypothesis: p = 0.3
Alternative hypothesis: ? ≠ 0.30

You decide to take a sample of size 90. Suppose we will reject the null hypothesis if the probability of an outcome as surprising as ?̂ occurring is less than 5%. (i.e., a “p-value” of .05). What values ?̂ would cause us to reject the null hypothesis? Hint: Your answer should be “if ?̂ is anything bigger than ____ or anything smaller than____.”

For a dual-media filter with 0.5 m of anthracite coal and 0.3 of sand. Other data for anthracite: specific gravity is 1.67, porosity is 0.5, d₉₀ grain size is 1.5 mm. Other data for sand: specific gravity is 2.65, porosity is 0.4, d₉₀ grain size is 0.9 mm. The water temperature is 20C, so the mass density of water (ρ) is 998.2 kg/m³ , density of sand is 1650 kg/m³ , density of anthracite coal is 1506 kg/m^3, the absolute viscosity is 1.002 x 10^-3 kg/m-s. Assuming a 30% margin of safety for backwash, calculate the following:

a) the recommended backwash rate for the filter (gpm/sf)

b) the pressure drop through the filter during fluidization (psi)

Note: multiply (L/m²-s) by 1.473 to get gpm/sf. Multiply (N/m²) by 0.000145 to get psi.

Suppose marginal product of labor (MPL) = 0.3*K and wage = $ 2 while the marginal product of capital (MP_K) = 0.7*L and price of capital = $ 1.

(a) What the marginal Rate of technical substitution between labor and capital at L = 50 and K = 100?

(b) What is the relative wage ratio?

(c) Is the input allocation L=50 and K=100 optimal?

A mass of 0.3 kg of saturated refrigerant-134a is contained in a piston-cylinder device at 240 kPa.
Initially, 70 percent of the mass is in the liquid phase. Now heat is transferred to the refrigerant at
constant pressure until the cylinder contains vapor only.
(a) show the process on a P-v and T-v diagrams with respect to saturation lines. Determine;
(b) the volume occupied by the refrigerant initially,
(c) the work done, and
(d) the total heat transfer.

Operation
 This application calculates the charges for a stay at a hotel based on the arrival and departure dates.
 The application begins by prompting the user for the month, day, and year of the arrival and the departure.
 Next, the application displays the arrival date, the departure date, the room rate, the total price, and the number of nights.

Specifications
 Create a class named Reservation that defines a reservation. This class should contain instancevariables for the arrival date and departure date. It should also contain a constant initialized to thenightly rate of $115.00.
 The Reservation class should contain a constructor that accepts the arrival and departure dates asparameters of type Date, as well as methods that return the number of nights for the stay (calculatedby subtracting the arrival date from the departure date) and the total price (calculated by multiplyingthe number of nights for the stay by the nightly room rate). This class should also override thetoString method to return a string like this:

Arrival Date: Monday, May 16, 2005Departure Date: Wednesday, May 18, 2005Price: $115.00 per nightTotal price: $230.00 for 2 nights
 The main method for the application class should contain a loop that asks the user for the arrival anddeparture date information, creates a Reservation object, and displays the string returned by thetoString method.
 Assume valid data is entered.

Enhancements
 Add validation so the user must enter values that will result in a correct date. Allow the user to enter the date in the form mm/dd/yyyy. Allow the user to enter the room rate or select the rate from one of several available rates. Use the BigDecimal class rather than the double type for the price calculation.

Note
This application requires the use of the GregorianCalendar class to create dates from the int valuesentered by the user. Then, it requires the use of the getTime method to convert the GregorianCalendarobject to a Date object.