Exponential and Logarithmic Functions

The number of bacteria in a certain population is predicted to increase according to a continuous macaw:erratia:I growth model, at a relative rate of 6% per hour. Suppose that a sample culture has an initial population of 22 bacteria. Find the predicted population after five hours. Do not round any intermediate computations, and round your answer to the nearest tenth. xs The number of milligrams DUI} of a certain drug that is in a patient's bloodstream 1: hours after the drug is injected is given by the following function. D{h)=3Se \"'3'\" When the number of milligrams reaches 16, the drug is to be injected again. How much time is needed between injections? Round your answer to the nearest tenth, and do not round any intermediate computations. D hours X b The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1% per hour. How many hours does it take for the size of the sample to double? Note: This is a continuous exponential growth model. Do not round any intermediate computations, and round your answer to the nearest hundredth. X 5The mass of a substance. which follows a continuous exponential growth model, is being studied in a lab. The doubling time for this substance was observed to be 4 days. There were 77.2 mg of the substance present at the beginning of the study. (a) Let r be the time {in days) since the beginning of the study, and lety 2 In be the amount of the substance at time t. :l write a formula relatingy to I. X :3 Use exact expressions to ll in the missing parts of the formula. Do not use approximations. y : D'Jmh (b) How much will be present in 22 days? Do not round any,r intermediate computations, and round your answer to the nearest tenth. Dmg