In a group of 60 investors, 48 purchased a certificate of deposit, 35 purchased shares of stock, and 27 purchased savings bonds. Of the 19 investors in the group who purchased both a certificate of deposit and savings bonds, 12 purchased all three types of investments. If every investor who purchased shares of stock also purchased a certificate of deposit, how many of the investors in the group purchased none of the three types of investments?
A certain nutritional study defined the /V-scorefot one serving of a food to be P- Q, where Pis the sum of 10 times the number of grams of fat and ttt the number of kilocalories of
energy provided per serving, and
(1) One serving of Food X provides exactly 400 kilocalories of energy.
(2) One serving of a food that provides 120 kilocalories of energy, 3 grams of fiber, and the same number of grams of fat as one serving of Food X has an N-score of 0.
An employee of Store Z purchased an item at Store Z. The item was on sale at -ยป% off its list price and the employee also received an employee discount of i-*%. If no taxes were Involved, what net percent discount did the employee receive off the list price of the Item?
(1) The employee paid $181.25 less for the item than its list price.
(2) The employee discount was applied before the sale discount was applied.