Asia tutors elementary students in math for $8.50 an hour. She charges by the hour, always rounding up to the nearest hour, and can only dedicate a maximum of 12 hours per week tutoring. Suppose the function P(x) gives the total amount paid per week after working x amount of hours. Describe an appropriate domain of this function.

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.