1)

A cup of coffee at 80 C is put into a 20 C room when t = 0. The coffee's temperature is changing at a rate of r(t) = -6.3(0.9t) .C per minute, with t in minutes. Estimate the coffee's temperature when t = 10. NOTE: Round your answer to at least one decimal place. The temperature when t = 10 is approximately . CThe figure below shows the rate of change of the quantity of water in a water tower, in liters per day, during the month of April. If the tower had 12,000 liters of water in it on April 1, estimate the quantity of water in the tower on April 30. rate (liters/day) 150 100 50 0 t (days) 6 12 18 24 30 -50 -100 Round your answer to the nearest hundred liters. Final amount of water = litersThe total cost in dollars to produce q units of a product is C (q). Fixed costs are 3522.000. The marginal cost is 0' (q) = 401.105.?2 q + 49. Round your answers to two decimal places. (3] Find C ( 180). the total cost to produce 180 units. Thetotal cost to produce 180 units is$ n (b) Find the value of C' (l 80). C'HSO) = s n (c) Use parts (a) and {b} to estimate C(181}. C(131): $n The marginal cost C' (q) (in dollars per unit} of producing q units is given in the following table. nmwwmwm amamaaw 0' (a) Round your answers to the nearest integers. (a) Ifxed cost is $17,000. estimate the total cost of producing 400 units. The cost of producing 400 units is 3; n (b) To the nearest dollar. how much would the total cost increase if production were increased one unit, to 40] units? The total cost increase if production were increased one unit is 513 l The marginal cost function for a company is given by 0"(q) = Q2 15g + 70 dollars/unit, where q is the quantity produced. If C (0) = 650, nd the total cost of producing 20 units. What is the xed cost and what is the total variable cost for this quantity? Variable cost of producing 20 units : $ Total cost of producing 20 units 2 $ The marginal revenue function on sales of q units of a product is R' (q) = 240 - 9, /q dollars per unit. (a) Estimate the total revenue if sales are 100 units. Total revenue = $ i (b) What is the marginal revenue at 100 units? Marginal revenue = $ i per unit Use this value and your answer to part (a) to estimate the total revenue if sales are 101 units. Total revenue =The net worth. f (I), of a company is growing at a rate of f' (I) = 2000 12:2 dollars per year, where I is in years since 2020. How is the net worth of the company expected to change between 2020 and 2032? If the company is worth $40,000 in 2020, what is it worth in 2032? Change in net worth of the company = 35 u If the company is worth $40,000 in 2020, then the net worth of the company in 2032 is SE n