You purchase a $1,000 asset for $800. It pays $60 a year for seven years at which time you receive the $1,000 principal. Prove that the annual return on this investment is not 9 percent.

Suppose an economist believes that the price level in the economy is directly related to the money supply, or the amount of money circulating in the economy. the economist proposes the following relationship: p=a x m - p=price level - m=money supply - a=a composite of other factors, including real gdp, that change very slowly over time. how might an economist gather empirical data to test the proposed relationship between money and the price level? an economist would persuade the federal reserve to change the money supply to various levels, and observe the resulting changes in the price level. unlike researchers in the hard sciences, economists cannot study complex relationships using data. economists do not usually develop theoretical models of the economy but only analyze summary statistics about the current state of the economy. an economist would look for data on past changes in the money supply, and note the resulting changes in the price level

The following cost data relate to the manufacturing activities of chang company during the just completed year: manufacturing overhead costs incurred: indirect materials $ 15,800 indirect labor 138,000 property taxes, factory 8,800 utilities, factory 78,000 depreciation, factory 150,600 insurance, factory 10,800 total actual manufacturing overhead costs incurred $ 402,000 other costs incurred: purchases of raw materials (both direct and indirect) $ 408,000 direct labor cost $ 68,000 inventories: raw materials, beginning $ 20,800 raw materials, ending $ 30,800 work in process, beginning $ 40,800 work in process, ending $ 70,800 the company uses a predetermined overhead rate of $20 per machine-hour to apply overhead cost to jobs. a total of 20,500 machine-hours were used during the year. required: 1. compute the amount of underapplied or overapplied overhead cost for the year. 2. prepare a schedule of cost of goods manufactured for the year.

How does your household gain from specialization and comparative advantage? (what is produced, what is not produced yet paid to a specialist to produce? )