Question 1 5 pts Price-Supply Equation The number a: of bicycle. helmets a retail chain is willing to sell per week at a price of $30 is given by :L'zaqulbe. where a = 82. E: = 25, and c = 385. Find the instantaneous rate of change of the supply with respect to price when the price is $62. Round to the nearest hundredth [2 decimal places]. helmets per dollar Question 2 5 pts Blood Pressure and Age A research group developed the following mathematical model relating systolic blood pressure and age: PW) = a + blob +1]. where Pb?) is pressure. measured in millimeters of mercury. and a: is age in years. By examining lGuilford County hospital records, they estimate the values for Guilford County to be d=3Band 5:26. Using this model. estimate the rate of change of pressure with respect to time after 19 years. Round to the nearest hundredth {2 decimal places). millimeters per year Question 3 ? pts Resale Value The esh'mated resale value R [in dollars] of a company car after t years is given by Rm 2 21,619 (0.771}? What is the rate of depreciation {in dollars per year) after2 years? Round to the nearest cent. The car is depreciating at $ peryear. NOTE: The rate of depreciation is |R'[t)|. Your answer should be positive. Continuous Compound Interest II An investment of $10,000 earns interest at an annual rate of 6.71% compounded continuously. Use this information to answer questions 4-5 below. Question 4 7' pts Use the Continuous Compound Interest || information above to answer this question. Find the instantaneous rate of change in the amount in the account after 3 years {in dollars per year}. Round to the nearest cent. $ per yea r. Question 5 ? pts Use the Continuous Compound Interest ll information above to answer this question. Find the instantaneous rate of change in the amount in the account at the time the amount is equal to $13381. Round to the nearest cent. $ per yea r. Question 6 7 pts Sales Analysis The total sales 5' {in thousands) of a video game are given by at: t2 + b' so) = where a. = 90. b = 4a, and t is the number of months since the release of the game. Find 3(10] and 5"[10]. Use these results to estimate the total sales after 11 months. Do NOT compute the total sales after '11 months. Round to the nearest hundredth {2 decimal places}. approximately video games after 11 months