Amy is a single taxpayer. Her income tax liability in the prior year was $5,178. Amy earns $50,000 of income ratably during the current year and her tax liability is $4,342. In order to avoid penalty, Amy's smallest amount of required annual withholding and estimated payments is:

Your mother's well-diversified portfolio has an expected return of 12.0% and a beta of 1.20. she is in the process of buying 100 shares of safety corp. at $10 a share and adding it to her portfolio. safety has an expected return of 15.0% and a beta of 2.00. the total value of your current portfolio is $9,000. what will the expected return and beta on the portfolio be after the purchase of the safety stock?

Match the given situations to the type of risks that a business may face while taking credit.(there's not just one answer)1. beta ltd. had taken a loan from a bankfor a period of 15 years, but its salesare gradually showing a decline.2. alpha ltd. has taken a loan for increasing its production and sales,but it has not conducted any researchbefore making this decision.3. delphi ltd. has an overseas client. the economy of the client’s country is going through severe recession.4. delphi ltd. has taken a short-term loanfrom the bank, but its supply chain logistics are not in place.a. foreign exchange riskb. operational riskc. term of loan riskd. revenue projections risk

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?