There is an income tax on the planet bozone. both annual income, x , and income tax, t ( x ) , are measured in the local currency, the bozat ( b η ). if the annual income x < 1000 , then the income tax is 10% of the income: t ( x ) = 0.10 x . if annual income x ≥ 1000 , then the income tax is 15% of the income: t ( x ) = 0.15 x . a. the equation for the income tax on income between b η 0 and b η 1000 is of the form t ( x ) = m x + b . find the values of m and b .

2standard deviation a particular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

Calculate the required rate of return for an asset that has a beta of 1.73, given a risk-free rate of 5.3% and a market return of 9.9%. b. if investors have become more risk-averse due to recent geopolitical events, and the market return rises to 12.7%, what is the required rate of return for the same asset?

Upscale hotels in the united states recently cut their prices by 20 percent in an effort to bolster dwindling occupancy rates among business travelers. a survey performed by a major research organization indicated that businesses are wary of current economic conditions and are now resorting to electronic media, such as the internet and the telephone, to transact business. assume a company's budget permits it to spend $5,000 per month on either business travel or electronic media to transact business. graphically illustrate how a 20 percent decline in the price of business travel would impact this company's budget set if the price of business travel was initially $1,000 per trip and the price of electronic media was $500 per hour. suppose that, after the price of business travel drops, the company issues a report indicating that its marginal rate of substitution between electronic media and business travel is 1. is the company allocating resources efficiently? explain.