Noelle stands at the edge of a cliff and drops a rock. the height of the rock is given by the function f(x)-4.9x2 + 15, where c is the number of seconds after noelle releases her rock. cesar, who is standing nearby on the ground, throws a rock straight up in the air. the height of cesar’s rock is given by the function g(x)-4.9x2+10x, where x is the number of seconds after he releases his rock. what is the height the money the two rocks are at the same level above ground.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.