1. Gregory may choose between two accounts in which to invest $5000, both at 2.3% interest. Account A offers 2.3% annual interest compounded monthly. Account B offers 2.3% continuous compound interest. Greg plans to leave his investment untouched (no further deposits and no withdrawals) for 10 years. (a) Which account will yield the greater balance at the end of 10 years? (b) How much more money does Greg earn by choosing this more profitable account (round to the nearest cent)?2. Given log, 3 = 0.6826 and log, 8 = 1.2920, evaluate the expressions using rules of logs (not change of base law). (a) log, 2 75 (b) logs 83. A hive of bees contains 2? bees when it is rst discovered. After 3 days, there are 35 bees. It is determined that the population of bees increases exponentially. How many bees are will there be after 30 days? Express your answer rounded to the nearest whole number. What is the range of the function? x) = 3*-1-2 Enter your answer, in interval notation, in the box.Initially, 50 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 8 hours. How can this information be interpreted? Select True or False for each statement. Statement True False The scenario can be modeled by the function f (x) = 3(50) , where f (x) represents the population of bacteria x hours after the C C bacteria are placed in the Petri dish. After 36 hours, there are approximately 7015 bacteria. C CSolve. 363+4x = V6 Enter your answer in the box. Enter any fraction as a simplified fraction. XEWhich graph shows the function f (x) = () -3? C -4 -3 2 3 4 4 -3 -2 -1 2 4 5 10 C -1 7 -2 -1 3 4 5 6 7 -1Solve. 8-3x-1 42r 16 Enter your answer in the box. Enter any fraction as a simplified fraction. X =