a glass tube both ends are open is dipped inside mercury so that one half is above the mercury level. then the one half of open end is closed and taken out there with a

10 cm long mercury left. if atmospheric pressure is 76cnHG calculate the length of the tube

answer is 16 cm pls explain the answer

32. What is empirical research ? 37. Which research positions require a college degree and which ones only require high school diploma ? 41. What’s the difference between open-ended versus closed-ended questions. Which type is the most difficult to tabulate? 42. Which are double-barreled questions?

consider the linear non-homogeneous recurrence relation of order three x(n)+x(n-1)-4x(n-2)-4x(n-3)=16

find the eigenvalues of the recurrence relation, the closed form solution, and based on the dominant Eigen value determine if x(n) has longterm exponential growth

Consider a hypothetical closed economy in which households spend $0.60 of each additional dollar they earn and save the remaining $0.40.

The marginal propensity to consume (MPC) for this economy is   , and the spending multiplier for this economy is   .

Suppose the government in this economy decides to increase government purchases by $400 billion. The increase in government purchases will lead to an increase in income, generating an initial change in consumption equal to _________   . This increases income yet again, causing a second change in consumption equal to _______   . The total change in demand resulting from the initial change in government spending is _______.

A closed-end fund starts the year with a NAV of $12.55. By year-end, NAV equals $11.36. At the beginning of the year, the fund was selling at a 5% discount to NAV. By the end of the year, the fund is selling at a 1% premium to NAV. The fund paid year-end distributions of income and capital gains of $1.21. What is the rate of return to an investor in the fund during the year?

Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321.

Consider the closed-economy market-clearing model. Assume that the marginal propensity to consume is 0.8. The economy's output increases by $10 billion, tax revenue decreases by $6 billion, and the government budget deficit increases by $2 billion.

(a) Calculate the dollar change in government spending. (b) Calculate the dollar change in public saving. (c) Calculate the dollar change in private saving. (d) Calculate the dollar change in national saving. (e) Would the equilibrium real interest rate increase, decrease, or stay the same?

Water flow steadily from a large closed tank. The deflection in mercury manometer is 1 inches or ( 0.0254-m) and viscous effects are negligible.

1). If the tank of water is maintained at 8.50 c(celsius) and the ambient air temperature is 34 c (celsius), determine the volume flow rate in (m^3/s) leaving the 3-inch or (0.0762-m) diameter outlet from the tank, the pressure differential (delta P) between the pitot tube entrance (across from the discharge outlet) & the fluid pressure in the 1-ft or (0.3048-m) diameter discharge chamber in (kpa), and the gauge pressure of the air in (kpag) in the space above the water in the tank

2). A nozzle with a throat diameter of 3.850-mm is placed on the tank discharge to slow down the outlet flow velocity to 11 nanoliters/minute (nL/min) with a nozzle exit pressure of 3.4 kpa, determine the new pressure above the tank water in (kpa) and the new mass flow rate in (kg/s) of the water.

3). For part 2, estimate the new mercury deflection for the pressure differential (delta P) between the pitot tube entrance (across from the discharge outlet) & the fluid pressure in the 1-ft or (0.3048-m) diameter discharge chamber in (kpa)

Assume that the equations below represent a closed economy.

Hints:

Y_D: Disposable Income

Y = C + I + G + NX is for part a): so, Y = 80 + MPC (Y_D) + I + G

C = 80 + 0.6(Y_D) Y_D = Y - T

I = 1000 T = 400

NX = (X – Im) = 0 G = 500

1. Solve for:

• Equilibrium GDP (Y)

• Disposable Income (Y_D)

• Consumption Spending (C)

• Private Saving

• Public Saving

• The multiplier

2. Verify that, in equilibrium total saving equals investment.

3. Suppose that the government wishes to increase equilibrium GDP by 100.

• What change in government spending is required?

• If government spending cannot change, what change in taxes is required?

Suppose the U.S. has a closed economy with GDP (Y) equal to $19.4 trillion, consumption (C) equal to $12.4 trillion, government spending (G) equal to $3.4 trillion, transfer payments (TR) equal to $1.6 trillion, and taxes (T) equal to $4.7 trillion. Suppose the government increases its spending on national defense such that government spending increases by $0.2 trillion. What must happen to total savings (S)? That is, what is the dollar amount by which total savings changes? Assume the values for GDP, consumption, taxes, and transfer payments do not change.  Provide your answer in trillions of dollars rounded to one decimal place.

One year ago, the Tyler Rose closed-end fund had a NAV of $35.19 and was selling at an 11% discount. Today, the fund has a NAV of $36.42 and is selling at a 7.5% premium. During the year, the fund paid a dividend distribution of $.48 and a capital gain distribution of $.97.

A. Calculate the NAV-based HPR for the fund for the year.

B. Calculate the market-based HPR for the fund for the year.

C. Recalculate the market-based HPR for the fund for the year, assuming the fund was selling at an 8.8% premium at the beginning of the year and an 11.3% discount at the end of the year.