Alyssa is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. The table below has select values showing the linear relationship between t and C. Determine the initial charge to use a computer.

Create a C++ program for managing a grocery store's Inventory system. The Inventory information is stored in a text file named "grocery inventory.txt." Each line in the file represents a grocery item with the following format: "SKU, Name, Category, Quantity Price" The program should allow the user to add new items, update the quantity of existing Items, and display the total value of the inventory. Ensure that the program checks for the existence of "grocery inventory.txt" and handles cases where the file is empty. Utilize functions to organize your code effectively, with comments explaining each function's purpose. You can use data structures like arrays or structs to store and manipulate inventory data. The program should output the updated inventory information to a file named "updated_grocery_Inventory.txt." Ex: grocery Inventory.txt: 101, Apples, Fruits, 50, 0.75 102, Bread, Bakery, 20, 2.50 103, Milk, Dairy, 30, 3.99 (updated grocery inventory.txt after adding 100 packs of Eggs…

If the cost to do business for a particular company is $4,000 for the startup fee plus $250 per day thereafter, write a graph linear equation that could represent the cost over time. How much cost will there be after 1 month (assume that there are 30 days in that month's time)?

Here's how gym membership works for a potential customer: If the customer decides to join the gym, she will pay J on day 0. Then, she can use the gym starting the next day for 5 days (1; 2; 3; 4; 5), paying an additional F on each day she visits. If she goes to the gym on any given day, it costs her (10+ F) that day, but beneÖts her 30 the next day. In other words, her "costs" are a sum of her psychic costs (10) and actual Onancial costs (F). Assume that, when indi§erent, the individual will go to the gym. (a) Suppose the potential customer is a standard exponential discounter with a discount factor of = 12. If gym membership was free (i.e. J = 0 and F = 0) would she join the gym? If so, how many days would she actually go? (b) Suppose the gym did not charge a joining fee. How high could it set the usage fee? What would its revenues from this customer be? (c) Suppose instead the gym decided not to charge a usage fee. How high could it set the joining fee? [Hint: To Ögure out the…