The finances of people in general in Brazil.

"This is a task for my English course."

Here in Brazil, we are going through a critical economic crisis, a big recession. The result is awful. People are losing their jobs, and our unemployment reached one of the highest taxes (this is not the correct word, I think you mean level) we've ever seen. Another problem is the incresing of the cost of living (what you wrote is correct, but most people will leave out "of the" and it still is correct). An important (I think you mean large) part of the population doesn't know how work on a budget and save money. It's getting very expensive keep our roofs a roof over our heads and pay a lot of government taxes. Some people need to get loan in from the bank to pay everything they need, but that only keep makes them hostages' to the bank. We wish our government would reach a solution to rescue Brazil's finances, so more people could pick up work, improve their wages, and quality of life.

For this sentence:

It's getting very expensive keep a roof over our heads and pay a lot of government taxes.

I assumed you were going for the english expression which is "keep a roof over our heads", but if not, you could just have said:

It's getting very expensive keep our homes and pay a lot of government taxes.

Learning English in exchange Japanese conversation

Hi,
I am from Tokyo. (or I'm from)
I want to learn English in exchange for Japanese conversation on weekends. 
I welcome everybody from all of over the world.

Pretty good, well done!

Tragedy!

An old man was reported missing about 6 years ago. He was never married and had no kids. He lived alone in an apartment that belongs to his employer (the one he retired from), a state-owned company. He liked travelling. He’d be away for a couple of months almost every summer. He was not very close to his neighbors, thusso nobody knows exactly when he disappeared. (thus is correct, but it is rarely used, so is more common)

In China, retired people get their pension from their employer (if they worked for a state owned company before their retirement). The retirement office of the employer manages the pension as well as organizes activities for retired people, such as annual medical checkups, get-togethers, outings, etc. The retirement office of the old man’s employer wasn’t able to contact him for a long time and decided to stop paying him his pension. They were hoping this could make him show up, but he didn’t.

That’s was in 2010. They then contacted the old man’s brother and nephew in another province. Together with the policemen, the employer and the nephew went into that apartment. The room was kept intact. There was no sign of robbery or murder or anything like that.

A couple of days ago, the employer decided to take back the apartment and contacted the brother and the nephew again. They came to clean up the old man’s stuff. When they opened the door, everything was almost the same as it was a few years ago except that there was more dust on everything.

When they were cleaning up the stuff in the bathroom, they found a pile of bones and a pair of slippers behind the washing machine. That’s how they realized that the old man had passed away long before.

Please help me correct this entry if you find some grammar errors & comment if it's understandable.

City Bus Rapid Transit (BRT) Project on Greenhouse Gas Emissions Reductions

In view of the Department’s implementation of City Bus Rapid Transit (BRT) system’s TransCity, the Environmental Management Plan (EMP) was provided in the Environmental Impact Assessment (EIA) study to ensure that environmental mitigation measures and monitoring during pre-construction, construction and operation shall be implemented for the project to make it environmentally sound and to effectively contribute to the sustainable urban development of the city.
Greenhouse gases (GHG) act like a blanket, insulating the Earth and contributing to global climate change. Carbon dioxide (CO2) is the only one of many greenhouse gases that cause warming. To take into account the emission of other greenhouse gases when calculating the level of greenhouse gas emissions, scientists have devised an equivalent measure – CO2e (which literally means carbon dioxide equivalent). In connection with this, based upon the conducted study, the proposed City BRT system will have positive environmental impacts by reducing greenhouse gases; 120,000 tons of CO2e will be produced (equivalent to 25% greenhouse gas emissions reductions) compared to around 474,000 tons of CO2e produced in 2012.
Furthermore, local air pollutants such as fugitive dusts, sulfur dioxide (SO2), nitrogen dioxide (NO2), and carbon monoxide (CO) which lead to citywide air pollution and smog will also be reduced. Therefore through the BRT system, reduction of vehicle-kilometers travelled (VKT) (defined as the number of kilometers travelled by all vehicles during a year period) and improving the fuel efficiency and technology of the buses will be implemented in order to achieve the reductions in greenhouse gas emissions.
The existing BRT systems in several cities around the world substantiate the magnitude of greenhouse gas emissions reductions. In Bogota, Colombia, the implementation of TransMilenio in 2000 combined with new regulations on fuel quality has resulted in emissions reductions of nearly 1 million tons of CO2e annually, while in Mexico City, Mexico, the Metrobus’ Line 1, first opened in 2005, has resulted in emissions reductions of nearly 27,000 tons of CO2e per year.