Designer dolls, inc. found that the number n of dolls sold varies directly with their advertising budget a and inversely with the price p of each doll. the company sold 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30. determine the number of dolls sold when the amount spent on advertising is increased to $52,000. round to the nearest whole number.. a. 5,200 dolls. b. 1,723 dolls. c. 3,447 dolls. d. 10,400 dolls

Two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers

The gdp is $1,465.2 billion. the population is 249,793,675. find the per capita gdp.

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?