Alice invests $15,000 at age 30 from the signing bonus of her new job. She hopes the investments will be worth $30,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.

Lines f and g are cut by the transversal d. the measure of 1 = 2x + 35 and the measure of 8 = 10x - 85. what value of x will show that lines f and g are parallel? a. 19 b. 26 c. 18 d. 15

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.