1) (justify) The less progressive the tax system, the: -

a) Weaker is the built-in stability for the economy

b) Greater is the built-in stability for the economy

c) Less is the effect of crowding-out on the economy

d) Greater is the severity of business fluctuations on the economy

2) (show working) If the price level is constant and the slope of the aggregate expenditure curve is 0.65, a decrease in investment of RM 100 leads to a decrease in real GDP of about -

a) RM65

b) RM154

c) RM100

d) RM286

3) [SHOW WORKING] If the price level is constant and the slope of the aggregate expenditure curve is 0.65, a decrease in investment of RM 100 leads to a decrease in real GDP of about -

a) RM65

b) RM154

c) RM100

d) RM286

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.5 x ^2 and below the line y = 280 . (Here, distances are measured in meters.) The water level is 34 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000 kg/ m^ 3 , and the acceleration of gravity is 9.8 m/ sec ^2 .)

Answer in Newtons and make sure that it is not in scientific notation. Check answer as last 5 have been wrong answers. Need detailed steps also

An LC circuit is built with a 10 mH inductor and an 12.0 pF capacitor. The capacitor voltage has its maximum value of 40 V at t=0s.

Part A

How long is it until the capacitor is first fully discharged?

Express your answer with the appropriate units. (t=?)

Part B

What is the inductor current at that time?

Express your answer with the appropriate units.(I=?)

a. Built-in (or automatic) stabilizers work by changing ______ so that changes in GDP are reduced.

multiple choice 1

• government payouts and interest rates

• taxes and government payouts

• interest rates and investment

• wages and prices

b. What type of tax system would have the most built-in stability?

multiple choice 2

• A progressive tax because it increases at an increasing rate as incomes rise, thus having more of a dampening effect on rising (or falling) incomes.

• A regressive tax since it acts as a cushion on declining incomes—the tax bite is less, which leaves more of the lower income for spending.

• A proportional tax because individuals pay more in taxes if they have higher incomes, thus having more of a dampening effect on rising (or falling) incomes.

• A regressive tax because those with higher incomes pay a smaller proportion of their income in tax and thus can spend more.

Topic: Construction

Let us assume that there is a large high school to be built on the East Coast of Florida near the beach. What type of block would be recommended i.e., compressive, fire rating, architecturally pleasing to the public eye? Remember to factor in cost, permanence, maintenance and safety.

Suppose the average size of a new house built in a certain county in 2006 was 2,273 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,185 with a sample standard deviation of 229 square feet.

a. Determine the null and alternative hypotheses. Choose the correct answer below.

A.

H0​: μ=2,273 and H1​:μ≠2,273

B.

H0​: μ≥2,273 and H1​: μ<2,273

C.

H0​: μ=2,273 and H1​: μ>2,273

D.

H0​: μ≠2,273 and H1​: μ=2,273

Determine the critical​ value(s).

The critical​ value(s) is(are) ____

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Determine the test​ statistic,

t Subscript x overbartx.

t Subscript x overbartx = _____

​(Round to two decimal places as​ needed.)

What conclusion should be​ drawn? Choose the correct answer below.

A. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006.

B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006.

C. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006.

D. Reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006.

b. Use technology to determine the​ p-value for this test. What is the​ p-value?

​p-value = _____

​(Round to three decimal places as​ needed.)

Information about a pickling company is given below. (Pickling: A plot to be built is the name given to the stripping of vegetative or soft soil on a land to be filled, and the soil on the ore in open mining enterprises.)

Variable Expenses Electricity Expenses: 100 TL/m3 Diesel and Oil Expenses: 500 TL/m3 Tire and Spare Parts Expenses: 400 TL/m3 Explosive Expenses: 300 TL/m3 Other Variable Expenses: 200 TL/m3 Fixed costs Depreciation, insurance and interest expenses: 1.5 billion TL/year Compulsory labour and personnel expenses: 0.5 billion TL/year Other Fixed Expenses: 0.5 billion TL/year Revenue: 5000 TL/m3 Production Capacity is 2000000 m3 /year a) Find the breakeven point as the production amount? b) Find the amount of pickling that the company needs to make in order to make a profit of 3 billion TL/year.

Suppose the average size of a new house built in a certain county in 2014 was 2,273 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,194​, with a sample standard deviation of 226 square feet. Complete parts a and b.

a. Using α =0.02​, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since​ 2014?

Determine the null and alternative hypotheses.

H0​:μ ▼ greater than or equals ≥ not equals ≠ less than or equals ≤ equals =

H1​:μ ▼ less than < greater than > equals = not equals ≠ ​(Type integers or decimals. Do not​ round.)

Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. ​(Round to three decimal places as​ needed.)

A. tα/2 equals =

B. tα equals =

C. −tα equals =

Calculate the appropriate test statistic.

t-x= ​(Round to two decimal places as​ needed.)

State the conclusion. ▼

Reject/Do not reject H0.

There ▼ is/is not sufficient evidence to conclude that the average house size of a new home in the county has ▼ increased/stayed the same/changed/decreased since 2014.

b. Determine the precise​ p-value for this test using Excel.

The​ p-value is . ​(Round to three decimal places as​ needed.)

A trebuchet was a hurling machine built to attack the walls of a castle under siege. A large stone could be hurled against a wall to break apart the wall. The machine was not placed near the wall because then arrows could reach it from the castle wall. Instead, it was positioned so that the stone hit the wall during the second half of its flight. Suppose a stone is launched with a speed of v₀ = 25.0 m/s and at an angle of θ₀ = 41.0°. What is the speed of the stone if it hits the wall (a) just as it reaches the top of its parabolic path and (b) when it has descended to half that height? (c) As a percentage, how much faster is it moving in part (b) than in part (a)?