Grandma has 250,000 to invest. She divides her money into two accounts. One account is in ultra-safe treasury bills paying 4% interest, and the other is in riskier corporate bonds paying 6%. If she needs 12,000 per year in income from her investment, how much should she invest in each account? SHOW YOUR WORK

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)