Question 16 15 pts ) 1 0 Details An investor deposits $9000 in a retirement account that returns 3.1% at the end of each year. Worth 6 points a) Write a function that models the amount of money, A, in the account at the end of y years. (must use y for years) A(y) = Worth 4 points b) Use that model to find the amount of money after 8 years. Round to the nearest cent. Worth 5 points c) Use that function to determine when the account will reach $16000, assuming a constant interest rate. Round your final answer to nearest year, if needed.Question 15 14 pts ) 1 0 Details The value of painting made by a famous artist was $2,830 in 2010 and $4,207 in 2019. (worth 5 points) a. Find a formula linear function that models the values of the painting, V, t years since 2000. (Note: t = 0 is the year 2000.) Show all steps on your notebook paper. Write answer in function notation. (worth 3 points) b. Use the model from part (a) to determine the value of the painting in the year 2030. Show all steps on your notebook paper. $ State your answer using a complete sentence in the box below, including units if applicable. (worth 4 points) c. Use the model from part (a) to predict how many years it takes for the painting's value to reach $4,819. Show all steps on your notebook paper. State your answer using a complete sentence in the box below, including units if applicable.Question 12 15 pts 1 0 Details In baseball, the flight of a pop-up may be described as d = - 16t' + 80t + 3.5 where d gives the ball's height above the ground in feet after t seconds. Worth 5 points each a) How long after the ball is hit, is it 50 feet from the ground? Round your answer to nearest 0.1, if needed. Show all work on your notebook paper and include units on your paper also. b) What is the maximum height reached by the ball? Round your answer to nearest 0.1, if needed. Show all work on your notebook paper and include units on your paper also. c) How long after it is hit will it touch the ground? Round your answer to nearest 0.1, if needed. Include units in your