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1) Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression. The probability that each economic condition will occur, and that a jewelry store will earn profits within that broader economic condition are listed below:
Economics condition
Profit
probability
Boom
400000
0,4
moderate growth
300000
0,3
recession
100000
0,2
depression
-500000
0,1
2 )The standard deviation of the jewelry store's profits next year (rounded to the nearest dollar) is ?
3) The expected profit of the jewelry store during the next year is?
4) What is the complete set of numbers for which f(x) = x3 + 2x2 - x is concave?
5) Today you deposited $10,000 in a savings account that pays 6% annual interest, compounded semiannually. In 5 years, how much money will you have in your account (rounded to the nearest dollar)?
6) Today you put $1000 in the bank. Your bank pays 5% interest, continuously compounded. In 3 years, how much money will you have in the bank (rounded to the nearest dollar)?
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Year 1
Year 2
Year 3
Year 4
50%
-50%
Rounded to the nearest tenth of one percent, the startup's 4-year Compound Annual Growth Rate was
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