Charlotte is the Lucas family's 22-year-old daughter. She is a full-time student at an out-of-state university but plans to return home when the school year ends. During the year, Charlotte earned $4,000 of income working part-time. Her support totaled $30,000 for the year. Of this amount, Charlotte paid $7,000 with her own funds, her parents paid $14,000, andCharlotte's grandparents paid $9,000. Which of the following statements most accurately describes whether Charlotte's parents can claim a dependency exemption for Charlotte? A. Yes, Charlotte is a qualifying child of her parents. B. No, Charlotte fails the support test for both qualifying children and qualifying relatives. C. No, Charlotte does not pass the gross income test. D. Yes, Charlotte is a qualifying relative of her parents

Colter steel has $5,550,000 in assets. temporary current assets $ 3,100,000 permanent current assets 1,605,000 fixed assets 845,000 total assets $ 5,550,000 assume the term structure of interest rates becomes inverted, with short-term rates going to 10 percent and long-term rates 2 percentage points lower than short-term rates. earnings before interest and taxes are $1,170,000. the tax rate is 40 percent earnings after taxes = ?

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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.