5. Given y = -1/2x + 10, determine if -2x +2y = 20 is parallel, perpendicular, or neither.

Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.

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 point of inflection for the function f(x)=2cos4x on the interval (0, pi/2)