Abby has just started training for a marathon. She ran 15 miles in total during her first week of training. She wants to add an additional 2 miles to her weekly total during each subsequent week. Write an explicit rule for the arithmetic sequence that represents this situation, and use it to find how many miles Abby will run during her twelfth week of training. SHOW WORK

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck