The Alpha Recruitment Agency is advertising a high-profile employer-paid job as vice-president of IT operations. The fee is 25% of the first month’s pay. If the job pays x dollars annually, express the agency fee algebraically.

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If the value of cos330°is√3/2 then find cos 165°.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.