closed economy without export or import

I = $60 G = 140 T= 0.2 Y

savings function is = -100 + 0.25Y where Y= (Yd - T)

show numerically using these data that in equilibrium the sum of leakages equal the sum of injections?

Closed economy:

Y = $12 trillion
C = $ 8 trillion
G = $ 2 trillion
Public Saving = -$0.50 trillion

1. a) Net Taxes (T)
2. b) Private Saving
3. c) Investment
4. d) Government budget surplus or deficit

Please explain.

At a certain temperature, the Kp for the decomposition of H2S is 0.846.

H_​2​S(g) <---> ​H_​2 (g) ​+ S (g)​  

Initially, only H2S is present at a pressure of 0.161 atm in a closed container. What is the total pressure in the container at equilibrium? (in atm)

(28) A 10-Micro Farat capacitor has been charged to a potential of 150 V. A resistor of 25 Ohms is then connected across the capacitor through a switch. When the switch is closed for ten time constants, the total energy (joules) dissipated by the resistor is?

Moist air initially at T₁ = 140°C, p₁ = 4 bar, and relitive humidity = 74% is contained in a 2.0-m³ closed, rigid tank. The tank contents are cooled to T₂ = 35°C.

Determine the temperature at which condensation begins, in °C

6. Suppose K1 and K2 are compact. Why is K1 ∪ K2 necessarily also compact?

(a) Write a proof of this using the sequential definition.

(b) Write a proof of this using the “closed and bounded” definition.

(c) Write a proof of this using open covers and subcovers.

Consider the class C of all intervals of the form (a, b), a, b ∈ R, a < b and ∅. Show that C is closed under finite intersections but not under complementations or unions. Hint: to show closure of finite intersections, it is enough to prove closure for intersections of 2 sets.

Suppose the depreciation rate of capital decreased at time t* permanently. How would this affect real wage rate, real rental rate, real interest rate and price level in long run and very-long run in a closed market economy?

ANSWER THESE QUESTIONS USING TRUE OR FALSE:

a. Gauss’s Law describes the relationship between the net electric flux through a closed surface and the charge enclosed INSIDE the surface.

b. Gauss’s Law describes the relationship between the net electric flux through any surface (either open or closed) and the charge around (either inside or outside) the surface.

c. When a point charge is at the center of a spherical surface, its E field is EVERYWHERE normal to the surface and constant in magnitude.

d. When a point charge is inside some closed Gaussian surfaces, the total net E field flux depends on the shape and size of the surfaces.

e. When charges are only located OUTSIDE an enclosed Gaussian surface, the number of E field lines entering the surface may be more or less than that of the lines leaving the surface.

f. Chapter 24-2 derived the formula of Gauss’s law using a positive point charge located inside a cubic Gaussian surface.

g. Dr. Gauss made contributions on many fields and a picture of him was shown in chapter 24.2

h. Gauss’s law is not true when there are multiple charges.

i. Zero flux means zero electric field.

j. There is zero flux through a closed surface when there are no charge inside or when there are charges inside but the net charge is zero (Same amount of positive and negative charges).

k. Gauss’s law calculation uses the value of charges inside the Gaussian surface, but it finds the Total E field at the surface, due to both charges inside and outside of the surface.

l. If the point charge inside the Gaussian surface is tripled, the total flux through the surface must be tripled.

m. If the radius of a spherical Gaussian surface is doubled when a point charge is inside, the total flux through the surface is doubled.

n. If the point charge inside the Gaussian surface moves to a different location, the total flux through the surface is not changed.