A financial analyst, assesses the likelihood of various possible future values of a stock price, assigns the following probability values to the predicted future price of the stock: Future price: $40 $50 $65
Probability: 0.5 0.3 0.2

What is the expected value of the future stock price?

a. 16
b. 48
c. 50
d. 33.3
e. 51.6
f. 40

(4 points) suppose the production function in the solow model is given by yt = ak¯ 3/4 t l 1/4 t . (a) what are the five equations and five unknowns that summarize the solow model? (b) show the transition dynamics in the solow model if ¯sy0 < ¯dk0. make sure you label the axes, curves, initial level of capital and steady-state level of capital. (c) solve for capital, output, capital per person, and output per person in the steady state. (d) if a¯ = 2, l¯ = 4, ¯s = 0.2, and ¯d = 0.05, calculate the steady-state level of capital and output per person.

The hawthorne works was a large western electric factory with 45,000 employees. during the 1920s and 1930s, hawthorne works was the site of some well-known industrial studies. in one of the studies, researchers investigated the impact of different working conditions on worker productivity. prior to the start of the study, researchers secretly measured workers' productivity for several weeks. then researchers chose two workers, who then chose their own teams. the teams were separated from the general workforce and completed their work in different experiment rooms where the researchers could observe them more easily. over a 5-year period researchers manipulated the structure of the workday for each team (number and duration of breaks and number of hours per shift). for each of these changes in working conditions, the researchers measured the effect on productivity. for some conditions, such as frequent short breaks, workers rebelled by intentionally decreasing productivity.why did the researchers secretly measure the workers' productivity before creating the two treatment groups? a, to create similar treatment groups so that a cause-and-effect relationship could be establishedb, to draw conclusions about the productivity of all workers in the plant based on the test groupsc, to directly control for confounding variablesd, to provide a baseline for measuring worker productivity

Melissa is a very generous single woman. before this year, she had given over $11,400,000 in taxable gifts over the years and has completely exhausted her applicable credit amount. in the current year, melissa gave her daughter riley $100,000 and promptly filed her gift tax return. melissa did not make any other gifts this year. how much gift tax must riley pay the irs because of this transaction?