In League of Legends, a player’s Effective Health when defending against physical damage is given by: \frac{H(100+A}{100}. Where H ins health and A is armor. Health costs 2.5 per unit and Armor costs 18 gold per unit.

Ten minutes into the game, you have 1080 health and 10 armor. You have only 720 gold to spend, and the health armor costs the same as before. Again, the goal is to maximize the effectiveness E. Notice that you don’t want to maximize the effectiveness of what you purchased - you want to maximize the effectiveness

E of your resulting health and armor. How much of each should you buy?

Part B:
Thirty minutes into the game, you have 2000 health and 50 armor. You have 1800 gold to spend, and
again the costs are the same. You once more want to maximize the effectiveness E of your resulting health
and armor. How much of each should you buy?

The tuition costs, c, for a local community college are modeled by c(h) = 250 + 200h, where h represents the number of credit hours taken. the local state university has tuition costs, s, modeled by the function s(h) = 300 + 180h. how many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

How many sides does a regular polygon have if each exterior angle measure is 45 degrees explain your answer, i really don't understand this.

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?