An office building with an adjusted basis of $320,000 was destroyed by fire on December 30, 2020. On January 11, 2021, the insurance company paid the owner $450,000. The fair market value of the building was $500,000, but under the co-insurance clause, the insurance company is responsible for only 90 percent of the loss. The owner reinvested $410,000 in a new office building on February 12, 2021, that was smaller than the original office building. What is the recognized gain and the basis of the new building if § 1033 (nonrecognition of gain from an involuntary conversion) is elected?

Choose the best term for each definitionexpense, liability, monetary asset, statement of financial position, tangible asset, net worth, market value, investment asset, income, assetitems of monetary value a person or household ownsmoney spentmoney receivedfinancial assets purchased with the hope that they will generate income and appreciate in value to make it possible to sell at a higher price in the futurea debt or obligation owed to othersthe amount you could realistically sell an asset forassets that can be quickly and easily converted into casha measure of financial wealth and indicates the monetary value of all possessions that a person or household owns, minus the total amounts owed to othersa financial statement that describes an individual or family's financial condition on a specified date by showing assets, liabilities, and net worthpersonal property that was purchased to create a lifestyle or improve your life

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

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.