You plan to put money into a bank account that earns a 7.2% APR with monthly compounding. You plan to invest $630 at the end of each half‐year, as well as a to‐be‐determined initial amount today. Under this plan, how much must you invest today to have a total account balance of $38,000 in 8 years?

What do you think: would it be more profitable to own 200 shares of penny’s pickles or 1 share of exxon? why do you think that?

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.

Which of the statements best describes why the aggregate demand curve is downward sloping? an increase in the aggregate price level causes consumer and investment spending to fall, because consumer purchasing power decreases and money demand increases. as the aggregate price level increases, consumer expectations about the future change. as the aggregate price level decreases, the stock of existing physical capital increases. as a good's price increases, holding all else constant, the good's quantity demanded decreases.