Exponential

In this task you will be presented with a series of exercises where you will apply the properties of the functions to solve problems and you will be able to: I diagram a dataset with an exponential or logarithmic function; I solve exponential and logarithmic equations, and I calculate compound interest and effective rate. Note: In the event that the result is decimal, you will round it to two decimal places. 1. Suppose a doctor is monitoring cancer cells in a patient in order to initiate curative treatment before the count reaches 60,000. The data are shown in the followingtable: Time in Cell count days 0 597 2 893 4 1339 6 1995 8 2976 10 4433 12 6612 14 9865 16 14719 18 21956 20 32763 On a Cartesian plane, diagram the dataset. (5 points) 2. Solve the following equation using the corresponding properties:3x+1 = 81 . (5 points) 3. Solve the following equation using the corresponding properties:log3(4x 7) = 2 . (5 points) 4. Suppose $1,000 is deposited into a savings and loan account that pays 8% of compound interest on a monthly basis. Use compound interest to calculate the following: a. How much money will besaved? (5 points) b. Howsoon will it be after 2 years? (5 points) 5. Celene invests $5,000 in a bank at 5.15% capitalizable annual interest each quarter. Use compound interest to determine what the annual percentage yield is. (5 points)