Steven wants to buy a $565 bicycle. steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each friday. however, before steven can buy the bike, he must give his sister $65 that he owes her. for how many weeks will steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

The pyramid shown has a square base that is 24 centimeters on each side. the slant height is 16 centimeters. what is the lateral surface area?

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.

The function c(n) below relates the number of bushels of apples picked at a pick-your-own orchard to the final cost for the apples. it takes as input the number of bushels of apples picked after paying an entry fee to an orchard and returns as output and returns as output the cost of the apples (in dollars)c(n) = 15n + 30which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels picked as output