In a particular geographical area, the demand function for each person i for a particular good is q^d_i = 100 + 0.2i_i - 9p where q^d_i is quantity demanded for person i, i_i, is person i's income, and p is the commodity's price. (note that p is constant across individuals, since all individuals face the same price. therefore no i subscript is needed.) for the firms in this area the supply function for this good is q^s_j = -50 + 20p where q^s_j is the quantity supplied of the good by firm j. (note that a different subscript is needed. why? ) there are 5 firms and 100 consumers. total income of the consumers is $100,000. equilibrium occurs where sigma^100_i = 1 q^d_i = sigma^5_j = 1 q^s_j (i. e., market demand equals market supply). find the equilibrium price.

$12. that is my answer.

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.