Miss McClure is thinking about getting her masters degree in education. She estimates that she will spend about 6,000 a year for three years to get her degree. Her plans are to take evening classes so she can keep her current teaching job. However, when she finishes ger degree she will get a 4,000 a year raise. How long (in years) will it take her to recover ger investment? (ROUND TO 1 DECIMAL PLACE)

F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

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.

What is the simplified form of square root of 400 to the 100th power ?