A traffic fanatic wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He assumes that each car is 17 feet long, travels at speed s, and follows the car in front of it at a safe distance for that speed. He finds that the number N of cars that can pass a given spot per minute is modeled by the function N(s) 87s/19 + 19 (s/24)2|
At what speed can the greatest number of cars travel safely on that road?

Why do interests rates on loans to be lower in a weak economy than in a strong one

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2

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.