Mack purchased a variable annuity with $50,000 premium deposits, which he splits equally between 2 subaccounts, at the time of purchase, the value of units in subaccount 1 was $25 and the value of units in subaccount 2 was $10.00, 6 months later the value of units in subaccount 1 increased to $30 and the value of units in subaccount 2 decreased to $8, What was the value of Mack's contract at that point?

Rosie and her brother michael decided recently to purchase an rv together. they both want to use the rv to take their families camping. the price of the rv was $10,000. since michael expects to use the rv 60% of the time and rosie 40% of the time, michael contributed $6,000 and rosie contributed $4,000. their ownership percentage equals their contribution percentage. which type of property titling should they use to reflect their ownership interest?

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e. g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.

Power plants that rely on coal increase the amount of sulfur dioxide that dissolves into the air, eventually increasing the acidity of precipitation. the higher acidity of rain and snow can damage forests by making it more difficult for plants to absorb minerals from the soil. the equations below provide information about the market demand and supply of electricity. there is a constant marginal external cost of $25 per unit of electricity. d: qd= 200 – 2ps: qs=p – 10what quantity of electricity satisfies allocative efficiency in this market? a. 60b. 70c. 50d. 43.3