Katie has a necklace for $14.5 plus 6% tax. sharon buys a bracelet for $12 plus 6% tax. enter the sum, in dollars, that katie and sharon paid, including tax. (pls answer fast! )

1) prove that 731^3−631^3 is divisible by 100 2) prove that 99^3−74^3 is divisible by 25

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)