Bacteria population initially contains 130 bacteria and the population grows at a rate of 6% every hour. How long it will take for the population to double?

Q: 14. Annual interest rate. Hardy Bank advertises that it com- pounds interest continuously and that…

A: It is given that the interest is compounded continuously, Let the rate of interest is r% The time…

Q: 2. A herd of 100 moose live in a nature reserve. The moose population is doubling every 5 years.…

A: The initial number of mouse in the herd, N0 = 100  In every 5 years the population of mouse is…

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

A: Formula: N(t)= No(1/2)t/t1/2 No = initial quantity N(t)= remaining quantity t= time t1/2= half life

Q: You create 400 kg of einsteinium-240*. Einsteinium-240 has a half-life of 6 seconds. That is, it…

A:

Q: Finding Half-Life If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the…

A: Substitute m=200, m0=250, t= 48 and r=ln2h in mt=m0e-rt. mt=m0e-rt200=250e-48ln2h45=e-48ln2h

Q: You deposit $8000 in a bank account that compounds continuously. The annual interest rate is 8.0%.…

A: The explanation of the solution is :

Q: During the exponential phase, E. coli bacteria in a culture increase in number at a rate…

A:

Q: Law of 70 Bankers use the law of 70, which says that if an ac- count increases at a fixed rate of…

A: Simple interest is calculated by multiplying principle amount with rate of interest and time divided…

Q: Caffeine An adult consumes an espresso containing 75 mg of caffeine. If the caffeine has a half-life…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Explanation of the answer is as follows

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

A:

Q: A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years.…

A: Given the increasing rate of population of cattlef(t)=800+8t

Q: $3000 is deposited in an account earning 2% interest compounded continuously. Use the continuous…

A: Given that compound interest formula A=Pert where Principal (P)=$3000    ,  r=2%=2/100=0.02  ,…

Q: 2. Compound Interest Nancy wants to invest $4000 in saving vertificates that bear an interest rate…

A: Consider the given information. P=$4000, r=9.75%, and A=$5000 The formula of compound interest is…

Q: An artifact originally had 16 grams of​ carbon-14 present. The decay model A=16 e-0.000121t…

A: Decay model

Q: Radioactive Decay The half-life of titanium-44 is 63 years.How long will it take 200 grams to decay…

A: Half-life of a substance is time for the substance to decay to half its original amount. Decay of an…

Q: uppose that you have deposited a certain amount of money in a bank that pays an terest rate of 2.5%,…

A: Topic:- algebra

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A= 16 e-0.000 1211…

A: given  A=16e-0.000121t

Q: Zakiya, a biologist is observing the growth pattern of a virus. she starts with 149 of the viruses…

A: Given : Initial Population  , P = 149 Growth Rate , r = 0.13 per hour

Q: The city of Anville is currently home to 22000 people, and the population has been growing at a…

A: Given data:   The initial population of Anville is P=22000. The rate at which the population is…

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: According to the given information it is required to find how many people died from AIDS in 2006…

Q: initial population =30,848 increasing at a rate of 3% what will the population be after 5 years

A: initial population = P0 =  30,848 Rate, r = 0.03 t = 5

Q: a population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there…

A: In the given question we have to find the population of bunnies after 5 years.

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A=16e-0.000121t describes…

A:

Q: 9. Wolves were removed from Yellowstone National Park in 1926. After the wolves were gone,…

A:

Q: A population of 20,000 rabbits has a growth rate of 25% every three years. Determine the population…

A: NOTE: Refresh your page if you can't see any equations. . the initial population is a=20000 rabbits…

Q: Radioactive Decay The half-life of cobalt is 5.27 years. If100 grams of radioactive cobalt is…

A: So the fraction of cobalt let after t years is(1/2)^(t/5.27)so the amount of the 100g left after t…

Q: The city of Anville is currently home to 15000 people, and the population has been growing at a…

A: This question can be solved using the concept of compounding.

Q: Radioactive Decay The half-life of radium is 1690 years.If 10 grams is present now, how much will be…

A: Given that, the half-life of radium is 1690 years, and the amount present is 10 grams.   The…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000 1211…

A:

Q: B) Global Warming: The temperature of the earth is rising, as a result of the "greenhouse effect,"…

A:

Q: 3000 people are infected when the pandemic is first discovered. 16000 people are infected 7 days…

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Q: 5. Doctors can measure the amount of blood in a patient by injecting a known volume of red blood…

A: This is a problem of derivative of the function. Based on the newton's law of decay we will…

Q: Population growth The population of Glenbrook is 375,000 and is increasing at the rate of 2.25% per…

A: Given, Therefore population (y) after x years will be

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A: An artifact originally had 16 grams of carbon‐14 present. The decay model A=16 e-0.000121t,…

Q: Unrestricted. Yeast Growth The number of bac1eria in a yeast culture grows at a rate proportional to…

A: Population: Yeast Growth The number of bac1eria in a yeast culture grows at a rate proportional to…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: The population of a city is 140,000. The city declines continuously by 4% per year. ...

A:

Q: an animal species you are studying is decreasing in population. in 2020, you counted 80 animals in…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

A:

Q: You create 400 kg of einsteinium-240*.  Einsteinium-240 has a half-life of 6 seconds.  That is, it…

A: Given data- The initial amount of material R0= 400 kg and it decays by 50% every 6 second. We have…

Q: The half - life of a substance is 50years. Determine the amount of time needed for the substance to…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211 describes…

A: Please refer to the image below

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e-0.0001211…

A: Here, given that  A=16e-0.000121t...(1) where A is the amount of Carbon-14 present after t years.

Q: 20. An aquarium contains 10 gallons of polluted water. A filter is attached to this aquarium which…

A:

Q: .  COVID-19 cases rose in your county from 23 to 47.  What is the percentage of increase? 2. Find…

A: 1)  COVID-19 cases rose in your county from 23 to 47.  What is the percentage of increase? solution…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.