please let each answer be detailed and well numbered

3) Consider the sketch of a sinusoidal function provided. Then answer the following questions with reference to the function. a) What is the amplitude? b) What is the period? c) Determine a sine function modeled by this sketch. 4) In AABC. a = 2.3 cm. c = 3.1 cm. and AA = 28. Determine two possible measures for AC. rounded to one decimal point. Include sketches of two triangles that could model this question. 5) simplify the rational expression. State all restrictions. :'r6 1 kzxZ : 312 6)Given the function f(x) = 4x2 Bx + 11 .determine the inverse relation. 7) Determine the sum of the geometric series 15 - 45 + 135 - 405 + - 32 805 0) The population of the prosperous city of Mathopia was 200.000 people in the year 2000. In the year 2022. the population is 1,087,308. What is the annual growth rate, r of the city during this time? 9) in an average human adult, the hart-life of the medicine Tylenol is 2.5 hours. You feel a cold coming on and take an adult dose of 1000 mg of Tylenol. The medicine recommends the next dose be taken in 6 hours. How many mg of Tylenol remains in your body after 6 hours from the rst dose? 10) The angle A is found in quadrant IV, such that strut = %. Determine the exact value of sec A (Decimal answers using a calculator will not be accepted). 1 5:210:05! 11) Show full steps Prove the identity: + time = 12) Ms. Whodunit needs $10 000 to go on her dream vacation in three years. How much does she need to invest now in an account earning 4.5% annual interest compounded semi-annually?! 13)Aer Ieaming about nances in grade 11, you decide to put money where your mouth is and at the end of every month invest $100 into the stock market for the next 48 years (until you retire). Assuming the market reiums 8% per annum, compounded monthly. how much will you have after 45 years