lf you take out a shortterm loan for $800 at 40% interest for 11 weeks, how much interest will you end up paying? (Please write out the finance formula used with the proper information representing the corresponding variables in one line, the answer to your question in another) a. (2 points) What value would you use for 77. when calculating m and b for the associated regression line? b. (2 points) Given that m = 1. 36and b = 97. 02, what is the associated regression line? c. (2 points) Use your regression equation to predict how many day passes will be sold if the highest weekly temperature is 20 degrees Fahrenheit. d. (2 points) Suppose you also computed the correlation coefficient and found 7' = . 78. Interpret this value in the context of the problem. Data on the highest weekly temperatures in degrees Fahrenheit (:1?) and a local ski resort's sales in number of day passes (3}) was used to create the table below. For the following questions, round all numbers found to 2 decimals. 30 60 1800 900 3600 40 32 12801600 1024 11 72 792 121 5184 25 80 2000 625 6400 Totals 106 244 5872 3246 16208 Suppose you made a deposit 9 months ago, and it has been earning 3.8% annual interest, compounded quarterly. If it is now worth $925, write out the finance formula used for this problem with the proper information representing the corresponding variables. (You do not need to solve for anything, I just want the formula with all information entered in it.) How long would it take $1000 to become $6000 if it was invested at 10.5% annual interest, compounded continuously? {give the equation you used to solve this problem as part of your solution). Your Etsy store prices Christmas ornaments at $12.75 per ornament. You spend $350 per week in supplies and labor, plus $4.75 per ornament. a. (4 points) Give the cost function C(56), revenue function ROB), and profit function PCT?) in dollars. b. (2 points) What does the variable 33 represent in the functions above? c. (2 points) How many ornaments should you sell in order to break even (round up to the nearest ornament)? When your bird houses were priced at $27, you sold 22 in one month. This month, you priced them at $34, and you sold 17. a. (3 points) Find the corresponding equation for the demand q in terms of the unit price p in dollars. b. (3 points) Give the corresponding monthly revenue as a function of unit price p in dollars. c. (2 points) What should you price the bird houses at in order to earn the maximum monthly revenue? What is the value of (2:1?) (2y) based on the table below? 45 77 3465 2025 5929 80 15 1200 6400 225 78 63 4914 6084 3969 Totals 203 155 9579 14509 9923 @358