The population of bacteria cells in a dish decays exponentially at a rate of 5% per hour. If there are 100 cells now, then how many cells will there be after 6 hours?

Q: The count in a bacteria culture was 500 after 10 minutes and 1900 after 30 minutes. Assuming the…

A:

Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: A bacteria has an initial population of 500 and is doubling every hour. The bacteria reaches a…

A:

Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.