You just won the lottery and after taxes you have $32,000. You want to have $1,000,000 by the time you are 65, which is 45 years from now. Assuming that you can earn 9 percent each year on your money, how much (in dollars) of the $32,000 must you invest today

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

San ruiz interiors provides design services to residential and commercial clients. the residential services produce a contribution margin of $450,000 and have traceable fixed operating costs of $480,000. management is studying whether to drop the residential operation. if closed, the fixed operating costs will fall by $370,000 and san ruiz’ income will

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