In a talent competition, half of the contestants are eliminated in each round. at the end of the nth round, 32 contestants remain. if there were 1,024 contestants at the start of the competition, what is the value of n?

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?