The number of bacteria in a culture is given by the function n(t)=955e^0.35t Where t is measured in hours. a). What is the continuous rate of growth of this bacterium population? Your answer is what %? b). What is the initial population of culture (at t=0)? Your answer is? c). How many bacteria will the culture contain at time t=5? Your answer is? Round to the nearest bacteria.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given : a0 = 100  n = 2000/1590

Q: A man of height 1.9 meters walks away from a 5- meter lamppost at a speed of 1.5 m/s. Find the rate…

A: Let Bc represents the lamp post and MN represents man. Then BC=5m, MN=1.9 m Let MC=x , MA=y Since,…

Q: A particular type of bacteria is found to be capable of doubling in number about every 48.4 minutes.…

A: The number N of bacteria present after t minutes is modeled by:Nt=N0e0.014t   . . . (1) The initial…

Q: Water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours after…

A: Given, water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours…

Q: Suppose that a new employee starts working at $7.66 per hour, and receives a 5% raise each year.…

A: P=7.661.05t take P=10 10=7.661.05t 7.661.05t=10 1.05t=107.66 1.05t=1.305483028 ln1.05t=ln1.305483028…

Q: A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous…

A:

Q: The amount of the radioactive element Pragelium present in a sample can be calculated using a model…

A: Given A=A0ekt, and t1/2=13, to find k=?

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: The number of fish, P, in a pond after t years is given by 120 1+ 4e-0.7t P = (a) Find the fish…

A:

Q: The air in a room 15 ft by 12 ft by 12 ft is 3% carbon monoxide. Starting at t=0, fresh air…

A:

Q: A university offers a $500,000 life insurance policy. Monthly rates for nonsmoking faculty can The…

A: Consider the given equation that models the monthly rates for nonsmoking faculty. 0.6431.098t Here t…

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.