What role does math play in the insurance industry?
a. Insurance companies use statistics to find how likely a client will need to
use the insurance so they can set premiums in order to have the highest
chance of making a profit.
Insurance companies use algebra and geometry to calculate the distance
from clients' major emergencies to nearest hospitals.
Insurance companies use statistics to hypothesize how likely clients are
to switch over to competitive companies.
d. Insurance companies use calculus to find out how likely a client will need
to use the insurance so they can set premiums in order to have the
highest chance of making a profit.

David consumes two things: gasoline (q 1) and bread (q 2). david's utility function is u(q 1, q 2)equals70q 1 superscript 0.5 baseline q 2 superscript 0.5. let the price of gasoline be p 1, the price of bread be p 2, and income be y. derive david's demand curve for gasoline. david's demand for gasoline is q 1equals nothing. (properly format your expression using the tools in the palette. hover over tools to see keyboard shortcuts. e.g., a subscript can be created with the _ character.)

Suppose a movie theater determines it can charge different prices to patrons who go to weekday matinees and people who attend evening and weekend shows . the movie theater's goal is to increase total revenue. the price elasticity of demand for weekend and evening patrons is -0.40, and the price elasticity of demand for matinee moviegoers is -1.90. based on the price elasticity of demand for each group of people, how should the movie theater adjust its prices?

You would like to purchase one class a share of berkshire hathaway through your scottrade brokerage account. scottrade charges a ​$6 commission for online trades. you log into your​ account, check the​ real-time quotes for berkshire hathaway​ (you see a bid price of ​$262 comma 900 and an ask price of ​$263 comma 730​) and submit your order. a. what is the current​ bid/ask spread for berkshire hathaway class a​ shares? b. if scottrade routes your buy order to the​ nyse, where berkshire hathaway is​ listed, what's the potential minimum your total transaction costs will​ be? c.​ if, instead, scottrade routes your buy order to​ nasdaq, where berkshire hathaway is not​ listed, what's the potential maximum your total transaction costs will​ be? d. regardless of how your trade is​ executed, based on the​ bid/ask spread, what is the market value of your​ trade? a. the current​ bid/ask spread for berkshire hathaway class a shares is ​$ nothing. ​(round to the nearest​ dollar.)