A company borrowed cash from the bank by signing a 5-year, 6% installment note. The present value of an annuity factor at 6% for 5 years is 4.2124. The present value of a single sum at 6% for 5 years is .7473. Each annual payment equals $76,500. The present value of the note is:

Which of these things did galileo not do? a. stop publishing his scientific work after being convicted of heresy b. invent the concept of acceleration c. experiment with rolling balls down ramps of increasing steepness to test how objects would fall d. argue that earth moves around the sun e. make up a thought experiment that indicated that objects would fall at the same rate

Petra contracted to paint bret’s house for $2,000. after beginning the job, petra realizes that the house is really quite big, and she’s not going to make enough profit, so she tells bret she wants another $500 to finish the job. bret doesn’t want to pay more, but he’s afraid that if she walks off the job, he’ll have trouble finding someone else to finish it, so he agrees. is bret legally obligated to pay the extra $500?

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.