The projected year-end assets in a collection of trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by the following function where 0 st s 50. A(t) =0.000028413 - 0.00505t2 + 0.0514t + 1.89 a. Where is A(t) increasing? b. Where is A(t) decreasing? a. Identify the open intervals for 0 S ts 50 where A(t) is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on the interval(s) (Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separate answers as needed.) O B. There are no intervals where the function is increasing b. Identify the open intervals for 0 s t s 50 where A(t) is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is decreasing on the interval(s) (Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separate answers as needed.) O B. There are no intervals where the function is decreasing