innovation involves making slight modifications to existing products in an effort to distinguish a product from the competition.

You wish to buy a cabin in 15 years. today, the cabin costs $150,000. you believe the price of the cabin will inflate at 4% annually. you want to invest a single amount of money (lump sum) today and have the money grow to equal the future purchase price of the cabin 15 years from now. if you can earn 10% annually on your investments, how much do you need to invest now, in order to be able to purchase the cabin?

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

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