3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of her X shape rotated 90° counterclockwise, 180°, and 270° counterclockwise around the origin. Label each image with the degree of rotation and direction.

You are creating a welcoming habitat for your pet salamander. The salamander lives in a rectangular cage whose dimensions are 14 inches high, 18 inches long, and w inches wide. There is a stick along the diagonal of the room (from one top corner to the opposite bottom corner). The stick makes an angle of 24◦ with the floor. Below is an un-labeled sketch of the room. The red line represents the stick. (a) Find the length of the stick. Explain and show your process.(b) Find the width, w, of the room. Explain and show your process.

Everett goes for a morning run. He starts running at 10:05 a.m. and stops running at 10:42 a.m. Through what clockwise angle of rotation does the minute hand on a circular clock turn while Everett runs? Enter the correct answer in the box.

Given the principal of $5000 and an investment that pays 8% interest, compounded monthly. How much is in the account if the principal is invested for 7 years?