Evelyn has $524.96 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $32.50 today. write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee.

If (x + 8) is a factor of f(x), which of the following must be true? both x = –8 and x = 8 are roots of f(x). neither x = –8 nor x = 8 is a root of f(x). f(–8) = 0 f(8) = 0

Which answer is the solution set to the given inequality |x+7|< 17? a. x e (-24,10) b. x e (-∞, -24) u (10, ∞) c. x e [-24, 10] d. x e (-∞, -24) ∩ (10,∞)

Nielsen media research wants to estimate the mean amount of time (in minutes) that full- time college students spend watching television each weekday. find the sample size necessary to estimate the mean with a 15-minute margin of error. assume that a 95% confidence level is desired. also assume that the population standard deviation is known to be 112.2 minutes.