Consider that you have a water park and a slide with no friction in it . Park visitors slide a vertical distance hh down the waterslide in a sitting position. When they come to the bottom of the slide, they grab a handle at the bottom end of a 5.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging on the end swings up through an angle of 70.0∘∘, and then the person lets go of the pole and drops into a pool of water. Treat the person as a point mass. The pole's moment of inertia is given by I=1/3 ML^2 , where L = 6.00 m is the length of the pole and M = 40.0 kg is its mass.

For a person of mass 70.0 kg, what must be the height hh in order for the pole to have a maximum angle of swing of 60.0∘ after the collision?

Luke and Sarah lived in a house in Albury where they both had permanent jobs. In July 2012 they purchased a rural block of 30 acres for $160,000 with the intention of building a house and moving out of town. In September 2012 they listed their house in Albury for sale at $570,000, however given a downturn in the market the house remained unsold until March 2014 when they finally accepted an offer of $460,000. Settlement took place in April 2014 and they commenced construction on the new house in May 2014. Whilst the house was being built Luke and Sarah rented the Albury house back from the new owners at an amount of $480 per week.

In November 2014 the new house was completed at a cost of $410,000 and Luke and Sarah moved in. Additional costs incurred by them included construction of a road for $15,000, sinking a dam at a cost of $30,000 and connection of electricity at a cost of $40,000. They financed the new property with a home loan of $450,000 payable over 30 years at a rate of 4.20%.

Luke and Sarah began a horse agistment business in January 2015 to which they allocated 20 acres of their property. They constructed fencing to create smaller paddocks, built shade shelters and installed water troughs at a total cost of $80,000. To fund the cost of the improvements they took out a small business loan for $80,000 payable over 10 years at a rate of 5.30%.

In October 2019, Luke was offered a promotion in his job which required them to re-locate to Queensland. They listed the rural property for sale and in December 2019 it sold for an amount of $850,000 with settlement occurring in January 2020 at which time Luke and Sarah moved to Queensland.

Required

Advise Luke and Sarah of the taxation consequences of selling the rural property including whether any taxation exemptions or concessions may apply. You do not need to calculate the amount of any resulting capital gain or loss .

Luke and Sarah lived in a house in Albury where they both had permanent jobs. In July 2012 they purchased a rural block of 30 acres for $160,000 with the intention of building a house and moving out of town. In September 2012 they listed their house in Albury for sale at $570,000, however given a downturn in the market the house remained unsold until March 2014 when they finally accepted an offer of $460,000. Settlement took place in April 2014 and they commenced construction on the new house in May 2014. Whilst the house was being built Luke and Sarah rented the Albury house back from the new owners at an amount of $480 per week.

In November 2014 the new house was completed at a cost of $410,000 and Luke and Sarah moved in. Additional costs incurred by them included construction of a road for $15,000, sinking a dam at a cost of $30,000 and connection of electricity at a cost of $40,000. They financed the new property with a home loan of $450,000 payable over 30 years at a rate of 4.20%.

Luke and Sarah began a horse agistment business in January 2015 to which they allocated 20 acres of their property. They constructed fencing to create smaller paddocks, built shade shelters and installed water troughs at a total cost of $80,000. To fund the cost of the improvements they took out a small business loan for $80,000 payable over 10 years at a rate of 5.30%.

In October 2019, Luke was offered a promotion in his job which required them to re-locate to Queensland. They listed the rural property for sale and in December 2019 it sold for an amount of $850,000 with settlement occurring in January 2020 at which time Luke and Sarah moved to Queensland.

Required

Advise Luke and Sarah of the taxation consequences of selling the rural property including whether any taxation exemptions or concessions may apply. You do not need to calculate the amount of any resulting capital gain or loss .

Differentiate between discretionary fiscal policy and nondiscretionary or built-in stabilization policy.

In Matlab:

Any complex number z=a+bi can be given by its polar coordinates r and θ, where r=|z|=sqrt(a^2+b^2) is the magnitude and θ= arctan(ba) is the angle. Write a function that will return both the magnitude r and the angle θ of a given complex numberz=a+bi. You should not use the built-in functions abs and angle. You may use the built-in functions real and imag.

A veterinarian is interested in determining whether or not an overweight dog would benefit more from daily 30 minute walks or from 30 minutes of daily play in a dog park. Design an experiment for the veterinarian, using 60 chubby dogs.

According to Schaller, Park, & Mueller (2003) Past research has indicated that men report higher levels of racism and ethnocentrism than women. why do men report higher levels of racism and ethnocentrism than women? why not?

when the National Park Service picks a single privately owned firm to be the sole seller of food and other Goods in the US National Parks, this is an example of the creation of a
A. natural monopoly
B. legal monopoly
C. strategic resource monopoly