A garden shop determines the demand function q equals Upper D (x )equals StartFraction 2 x plus 500 Over 20 x plus 9 EndFraction during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant. (a) Find the elasticity. (b) Find the elasticity when xequals4. (c) At $4 per plant, will a small increase in price cause the total revenue to increase or decrease?

99 points at a zoo, the leopard pen has a ring-shaped sidewalk around it. the outer edge of the sidewalk is a circle with a radius of 12 m. the inner edge of the sidewalk is a circle with a radius of 8 m. (1 point for showing all of your work) a. write and simplify an expression for the exact area of the sidewalk. (1 point for the answer) b. find the approximate area of the sidewalk. use 3.14 to approximate π. (1 point for the answer)

Eliza wants to make $10,000 from her investments. she finds an investment account that earns 4.5% interest. she decides to deposit $2,500 into an account. how much money will be in her account after 14 years?

Find the least common denominator for thesetvo rational expressions. n^2/n^2+4n+4 -3/n^2+7n+10