A toy manufacturer determined that the total cost in dollars of producing a slime kits in one day is given by C(¤) = 350+2a- 0.01a. Which of the following formulas will give an estimate of the cost of producing the 64 slime kit? %3D O C (64) O (64)- C(63) OC (65) O C(63) +C'(63) OC (63)

The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by  y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

The scrap value of a machine at the end of its useful life is given by S(n) = C(1-r)", where C is the original cost, n is the useful life of the machine in years, and r is the constant annual percentage of value lost. Find the scrap value of the following machine. Original cost, $49,000; life, 11 years; annual rate of value lost, 13% S=$ (Round to the nearest cent.)

A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 925.   (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.)   (b) Find the number of bacteria after 6 hours. (Round your answer to the nearest whole number.)   (c) Find the rate of growth (in bacteria per hour) after 6 hours. (Round your answer to the nearest whole number.)