Continuous Compounding Word Problems

Does the function $$y=4e^{0.75x}$$  represent exponential growth or decay?

Tritium is a chemical that decays over time. In a sample of tritium, the amount y(in millligrams) remaining after t years is given by the equation below. How much Tritium will be left after 10 years? Round to 2 decimal places. $$y=10e^{-0.0562t}$$  

Tritium is a chemical that decays over time. In a sample of tritium, the amount y(in millligrams) remaining after t years is given by the equation below. What is the half-life of Tritium? Round to 2 decimal places. $$y=10e^{-0.0562t}$$  

Miguel had 25 bacteria in his petri dish at 2 PM. There were 72 in the dish at 2:30 PM. Assuming exponential growth, at what rate are they increasing?

The population of Guyana was roughly 787,000 in 2020 and 747,000 in 2000. If the population is growing exponentially, what is the rate of growth?

Which expression does NOT represent exponential decay?

If a population of 300 animals in a certain region is growing exponential at 2% per year, when will the population reach 400?

A new computer continuously loses about 45% of its value each year. If Monique spent $1600 on her computer, how much will it be worth in 5 years?

$$32=64e^{r\left(23\right)}$$  

Using this equation above where the time is in hours, which of the following are true? Select all that apply.

Without doing any calculations, which one will increase the fastest?