Julian has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $44, before discount and tax. After the discount, and before tax, the price is $40.92. Find the percent discount.

Aquantity with an initial value of 3900 decays exponentially at a rate of 35% every hour. what is the value of the quantity after 0.5 days, to the nearest hundredth?

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

(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.)