On January 1, 2000, there were 175,000 tons of trash in a landfill that had a capacity of 325,000 tons. Each year since then, the amount of trash in the landfill increased by 7,500 tons. If y represents the time, in years, after January 1, 2000, which of the following inequalities describes the set of years where the landfill is at or above capacity?

On January 1, 2015, a family living on an island releases their two pet rabbits into the wild. Due to the short gestation period of rabbits, and the fact that the rabbit population doubles each month. If p represents the rabbit population t years after January 1, 2015, then which of the following equations best models the rabbit population on this island over time?

A marketing team conducted a study on the use of smartphones. In a certain metropolitan area, there were 1.6 million smartphone users at the end of 2018. The marketing team predicted that the number of smartphone users would increase by 35 percent each year beginning in 2019. If y represents the number of smartphone users in this metropolitan area after x years, then which of the following equations best models the number of smartphone users in this area over time ?

The 2005 to 2015 population density of a certain town can be modeled by the equation d =21.3y +1,927.3 , where y represents the number of years since 2005 and d represent the population density .Which of the following best describes the meaning of the number 21,3 in the equation?

Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds. Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?

On 1st April, 2012, Vishwas Ltd. was formed with an authorised capital of Rs. 10,00,000 diveded into 1,00,000 equity shares of Rs. 10 each. The company issued prospectus inviting applications for 90,000 equity shares. The company received applications for 85,000 equity shares. During the first year, Rs. 8 per share were called. Ram holding 1,000 shares and Shyam holding 2,000 shares did not pay the first call of Rs. 2 per share. Shyam's shares were forfeited after the first call and later on 1,500 of the forfeited shares were reissued at Rs. 6 per share, Rs. 8 called-up. Show the following: (a) Share capital in the Balance Sheet of the company as per Schedule III, Part I of the Companies ACt, 2013. (b) Also prepare 'Note to Accounts' for the same.

On 1st April, 2012, Vishwas Ltd., was formed with an authorized capital of Rs. 10,00,000 divided into 1,00,000 equity shares of Rs. 10 each. The company issued prospectus inviting applications for 90,000 equity shares. The company received applications for 85,000 equity shares. During the first year, Rs. 8 per share were called. Ram holding 1,000 shares and Shyam holding 2,000 shares did not pay the first call of Rs. 2 share. Shyam's shares were forfeited after the first call and later on 1,500 of the forfeited shares were re-issued at Rs. 6 per share, Rs. 8 called up. Show the following : (a) Share capital in the Balance Sheet of the company as per Schedule - III Part-I of the Companies Act, 2013. (b) Also prepare 'Notes to Accounts' for the same.

On 1st April, 2014, Blue Heaven Ltd. was formed with an authorised capital of Rs. 20,00,000 divided into 2,00,000 equity shares of Rs. 10 each. The company issued prospectus inviting applications for 1,50,000 equity shares. The company received applications for 1,40,000 equity shares. During the first year, Rs. 7 per share were called. Arun holding 4,000 shares and Varun holding 3,000 shares did not pay the first call of Rs 2 share. Vanrun's shares were forfeited after the first call and later on 1,800 of the forfeited shares were re-issued at Rs. 5 per share, Rs. 7 called up. Show the following : (a) Share Capital in the Balance Sheet of the company as per Schedule III Part I of the Companies Act, 2013. (b) Also prepare 'Notes to Accounts' for the same.