Give you experience in using the cost and revenue functions to find the break-even point. Austin Avenue Clothiers pays $57 each for sports coats and has a fixed monthly cost of$780. The store sells the coats for $79 each. (a) What is the linear cost–volume function? (b) What is the linear revenue function? (c) What is the break-even number of coats?

In the braking test of a sports car, its velocity is reduced from $70 \mathrm{mi}$ h to zero in a distance of $170 \mathrm{ft}$ with slipping impending. Knowing that the coefficient of kinetic friction is $80$ percent of the coefficient of static friction, determine $(a)$ the coefficient of static friction, $(b)$ the stopping distance for the same initial velocity if the car skids. Ignore air resistance and rolling resistance.

SALES OF CLock Radios Sales of a certain stereo clock radio are approximated by the relationship $S(x)=6000 x+30,000$ $(0 \leq x \leq 5)$, where $S(x)$ denotes the number of clock radios sold in year $x(x=0$ corresponds to the year 2008). Find the number of clock radios expected to be sold in 2012 .

In this exercise, solve the given systems of equations by determinants.

$$10 i-27 v=29$$

$$40 i+33 v=69$$

Eastern National Bank installed a wireless encryption device in January 2015. The device cost $120,000. At the time the device was installed, Eastern estimated that it would have an expected life of 8 years and a residual value of$10,000. By 2018, the bank’s business had expanded and modifications to the device were necessary. At the beginning of 2019, Eastern spent $35,000 on modifications for the device. Eastern estimates that the new expected life of the device (from January 2019) is 6 years and the new residual value is$4,000. Eastern uses the straight-line method of depreciation. Had Eastern not modified the device, it estimates that processing delays would have caused the bank to lose at least $50,000 of business per year.

Required:

What is the book value of the device before and after the modification?

Name the major mountain ranges in the Eastern Mediterranean.

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

In a survey, 1864 out of 2246 randomly selected adults in the United States said that texting while driving should be illegal (based on data from Zogby International). Consider a hypothesis test that uses a 0.05 significance level to test the claim that more than 80% of adults believe that texting while driving should be illegal.

b. What is the critical value?

Use the substitution or elimination method to solve the linear system. Identify any inconsistent systems or systems with infinitely many solutions. If the system has infinitely many solutions, write the solution set with $y$ arbitrary.

$$\begin{array}{r} 4 x+3 y+z=-8 \\ 3 x+y-z=-6 \\ x+y+2 z=-2 \end{array}$$

Complete the statement using each term once. a. sport b. Title IX c. sports subculture d. functionalist perspective on sport e. conflict perspective on sport f. symbolic interactionist perspective on sport g. social mobility in sport h. stacking i. salary equity j. sexism in sport. ________ was established with the intent of increasing opportunity for female athletes in school settings.

Applications with frequent insertions and deletions in the middle and/or at the extremes of a container normally use a(n) _______.

What is a practical application of the wave nature of an electron?

A random sample of the 5358 subscribers to a sports blog were asked to name their favorite winter sport. Use the results in the table to determine the most reasonable inference about each of the following.

the number of subscribers whose favorite winter sport is hockey or snowboarding.

Favorite Winter sport Sport: Frequency Skiing: 23 Hockey: 14 Snowboarding: 51 Ice skating: 40

How did the economies of the New England, Middle, and Southern Colonies differ?

Find a real general solution of the following systems. Show the details. y'1=2y1-2y2, y'2=2y1+2y2