The davidson winery is noted for its regal champagne. it takes the blending of 1,000 bushels of a mixture of two varieties of grapes to achieve the regal specification of 12% alcohol content for its champagne. one of the two varieties of grape contains a 10% alcohol content and the other contains a 15% alcohol content. how many bushels of each variety are needed?

Find the required measurements of the following trapezoids. a = 8 cm b = 16 cm h = 10 cm

Shelly bought a house five years ago for $150,000 and obtained an 80% loan. now the home is worth $140,000 and her loan balance has been reduced by $12,000. what is shelly's current equity?

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)