Shern goes to the BX with $21. She buys a gift for her mom that costs $9.25. She also needs to make sure that she has $3.50 left when she leaves the BX to buy lunch the next day. She sees that bags of Skittles are on sale for $0.40 each. How many bags can she buy to have as many bags as possible. Write and solve an inequality to represent the situation. Show your work. (10 points)

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.