There are currently 250 cells in a culture and it grows ata rate proportional to its size. After one hour the population has increased to 630. How much time will have passed when there are 1450 cells? Note: Round to the nearest hundredth of an hour.

Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

A:

Q: Number of bacteria in a rapidly growing culture was estimated to be 10,000 at noon, 40,000 after…

A:

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

A:

Q: There are currently 100 cells in a culture and it grows at a rate proportional to its size. After…

A:

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

A: This question is related to the population growth, We will solve it using integration.

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

A:

Q: A certain population of bacteria grows such that its rate of change is always proportional to the…

A:

Q: How much should be invested at a rate of 7% coumpounded continuously to produce an amount of $15,000…

A:

Q: In the absence of predators the population of mosquitos in a certain area would inccrease at a rate…

A: Let P(t) be the population of mosquitoes in the area with t in weeks, and k be the rate at whichthey…

Q: The rate at which bacteria multiply is proportional to the instantaneous N numbers present. If the…

A: Let y(t) represents the number of bacteria present in the culture after t hours. Let the initial…

Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

A: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

Q: A population of 320 bacteria grows continuously at a rate of 4.2% each day. How many bacteria will…

A:

Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 5% of the drug…

A: Given,           A patient is administered a dose of 70mg of a drug and the body naturally disposes…

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a…

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the…

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

A:

Q: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100mg of radium…

A:

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the present amount. If…

A:

Q: A 200-liter tank initially full of water develops a leak at the bottom. Given that 10% of the water…

A:

Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

A: The general growth formula is given by,

Q: Initially 42 grams of radioactive substance was present. After 5 hours the mass had decreased by 8%.…

A: Initial mass of radioactive substance is equals to 42 g after five  hours mass is decreased by 8%

Q: The half-life of plutonium-241 is approximately 13 years. How much time is necessary for a sample…

A: The exponential formula for decay is given as: A=A0e-λt               ⋯2, where A is future amount,…

Q: The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. We have to find how much sample of 4 g will remain after…

Q: A radioactive substance has a decay rate of 4% per hour. If 1000 grams of the substance are present…

A: It is given that,a radioactive substance has a decay rate of 4% per hour. If 1000 grams of the…

Q: The population of a certain bacteria culture was 40,876 after 18 hours had elapsed. After another 20…

A: Given that, The population of a certain bacteria culture was 40,876 after 18 hours had elapsed.…

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells. What…

A:

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Solution

Q: A mold grows at a rate that is proportional to the amount present. Initially, there is 5 oz of this…

A:

Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

A:

Q: The amount of a radioactive isotope present in a certain sample at time t is given by…

A: Solve the following

Q: A certain population of bacteria is known to grow at a rate proportional to the amount present in a…

A: Solve for bacteria after 20 hrs

Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

A:

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had…

A:

Q: Initially 48 grams of radioactive substance was present. After 6 hours the mass had decreased by…

A:

Q: Initially 47 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A:

Q: The half-life of plutonium 239 is 24,200 years. Assume that the decay rate is proportional to the…

A:

Q: A puppy weighs 2.0 lb at birth and 3.5 lb 2 months later. If the weight of the puppy during its…

A:

Q: Initially 25 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A: