Solve the exponential equation by taking the logarithm on both sides. 5^(x+8)=7

wilson's has 10,000 shares of common stock outstanding at a market price of $35 a share. the firm also has a bond issue outstanding with a total face value of $250,000 which is selling for 102 percent of face value. the cost of equity is 11 percent while the preminustax cost of debt is 8 percent. the firm has a beta of 1.1 and a tax rate of 34 percent. what is wilson's weighted average cost of capital?

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.

Suppose either computers or televisions can be assembled with the following labor inputs: units produced 1 2 3 4 5 6 7 8 9 10 total labor used 3 7 12 18 25 33 42 54 70 90 (a) draw the production possibilities curve for an economy with 54 units of labor. label it p54. (b) what is the opportunity cost of the eighth computer? (c) suppose immigration brings in 36 more workers. redraw the production possibilities curve to reflect this added labor. label the new curve p90.