A city planner is evaluating the continuous growth of the local population using the formula $A = A_0 e^{rt}$. The current population is 50,000 and it is growing at a continuous rate of 2% per year. Which of the following shows the correct first step for evaluating the population after 10 years?

A laboratory researcher is using the continuous growth formula $A = A_0 e^{rt}$ to model the expansion of a bacterial colony. Match each variable from the formula with the corresponding component of the researcher's growth model.

A laboratory researcher is using the continuous growth formula $A = A_0 e^{rt}$ to predict the size of a bacterial population. Arrange the steps below in the correct procedural order to evaluate the final population $A$ based on the given experimental data.

A laboratory researcher uses the continuous growth formula $A = A_0 e^{rt}$ to track a virus culture. In this formula, the variable $r$ represents the initial number of viruses present at the beginning of the study.

A quality assurance technician at a food processing plant is evaluating the continuous growth of a bacterial sample using the formula $A = A_0 e^{rt}$. If the sample grows continuously at a rate of 14% per hour, the decimal value that must be substituted for the variable $r$ is ____.