Acharity organization had a fundraiser where they sold each ticket for a fixed price. after selling 200200200 tickets, they had a net profit of \$12{,}000$12,000dollar sign, 12, comma, 000. they had to sell a few tickets just to cover necessary production costs of \$1{,}200$1,200dollar sign, 1, comma, 200.
let yyy represent the net profit (in dollars) when they have sold xxx tickets.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.