Your rich aunt has promised to give you $5,000 per year at the end of each of the next four years to help you pay for college. Using a discount rate of 7%, what is the present value of the gift?

On july 7, you purchased 500 shares of wagoneer, inc. stock for $21 a share. on august 1, you sold 200 shares of this stock for $28 a share. you sold an additional 100 shares on august 17 at a price of $25 a share. the company declared a $0.95 per share dividend on august 4 to holders of record as of wednesday, august 15. this dividend is payable on september 1. how much dividend income will you receive on september 1 as a result of your ownership of wagoneer stock

Suppose that a major city’s main thoroughfare, which is also an interstate highway, will be completely closed to traffic for two years, from january 2014 to december 2015, for reconstruction at a cost of $535 million. if the construction company were to keep the highway open for traffic during construction, the highway reconstruction project would take much longer and be more expensive. suppose that construction would take four years if the highway were kept open, at a total cost of $800 million. the state department of transportation had to make its decision in 2014, one year before the start of construction (so that the first payment was one year away). so the department of transportation had the following choices: (i) close the highway during construction, at an annual cost of $267.5 million per year for two years. (ii) keep the highway open during construction, at an annual cost of $200 million per year for four years. now suppose the interest rate is 80%. calculate the present value of the costs incurred under each plan.

When balancing wheels with either dynamic or road force balancers, technician a says it is really important to follow the instructions provided with the particular balancer you're using. technician b says that when rebalancing a wheel, if it is out of balance, it is best to remove the old weights and recheck the balance before adding new weights. who is correct?