Suppose a population of bacteria in a Petri dish has a doubling time of 7 hours. How long will it take for an initial population of 9500 bacteria to reach 75000? Round your answer to two decimal places, if necessary.

Q: A scientist puts 250 grams of radioactive radium having a half-life of 1690 years into a concrete…

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Q: A radioactive substance has a half-life of 1620 years. if its mass is now 15 grams, how much will be…

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Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

Q: A patient is adminstered a dose of 70 mg of a drug. If the body naturally disposes of 3% of the drug…

A: Given- Administered drug dose = 70mg  Naturally disposing ability of the drug every hour is = 3%  To…

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug…

A: Given query is to find rate of change after 8 hours.

Q: A scientist puts 200 grams of radioactive radium having a half-life of 1690 years into a concrete…

A: Radioactive decay

Q: The initial population of a town is 3200​, and it grows with a doubling time of 10 years. What will…

A: We have to solve

Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be…

A: We have to find

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: The current population of a threatened animal species is 1.7 million, but it is declining with a…

A: Given:  The current population of a threatened animal species is 1.7 million, but it is declining…

Q: In the 2000 U.S. Census, a small city had a population of 40,000. By 2010, the population had…

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Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 94% of the…

A:

Q: Suppose a country has a population of 50 million and projects growth rate of 5% per year for 20…

A:

Q: If the population of a city is 145,000. If the population declines continuously by 5% per year, what…

A: solution:Present population, P0=145000Rate of population decline, r =5% Time, t =15 yearsthe…

Q: Suppose that a chemical reaction proceeds according to the law of growth and decay. If half the…

A:

Q: Suppose a population of bacteria in a Petri dish has a doubling time of 5.5 hours. How long will it…

A: Let's find.

Q: You invest in an account paying 10% compounded monthly. How long will it take for you to double your…

A:

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

A:

Q: Perhaps the most intuitive way to compare how fast different populations are growing is to calculate…

A: Let t measure years after 1990 and p measures the population.

Q: In an insect colony, there are 280 insects after 9 days. If there were initially 90 insects, how…

A:

Q: How long, to the nearest year, will It take an Investment to double if it is continuously compounded…

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

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Q: Approximate to three decimal places usingNewton’s Method and compare with the value from a…

A: x=273273=22+13Apply exponent rule:   xa+b=xaxbx=22· 21322=4x=4· 213x=273  :  x=4· 213  Decimal:…

Q: If $500 is deposited in an account paying 8.3% annual interest, compounded continuously, how long…

A: We know that, the formula for continuous compounding is given by A=Pert            ⋯⋯1 Where, P =…

Q: Suppose that population of the world now is 6 billion and that its doubling period is 35 years. (a)…

A: The exponential growth of a population can be modeled as Pt=P0ert Where Pt is the population size…

Q: Find the doubling time for a city whose population is growing by 23% per year. pling time is years.

A: To find the doubling time for a city whose population is growing by 23% per year.

Q: Suppose a population of bacteria in a Petri dish has a doubling time of 4.5 hours. How long will it…

A:

Q: The count in a bateria culture was initially 100, and after 30 minutes the population had increased…

A: Consider the count of bacteria culture which was initially 100 and the population increased to 1900…

Q: Suppose a population of bacteria in a Petri dish has a tripling time of 6 hours. How long will it…

A: Given the population of bacteria in a Petri dish has a tripling time of 6 hours. Let the initial…

Q: An article on the "Iceman" stated that the frozen corpse was 5,000 to 5,500 years old. Assuming the…

A: Given data: The given time is t=5,200 years. The given half lifetime is t1/2=5,730. The expression…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: Continuous compound interest formula: The amount in an account after t years at r rate is compounded…

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: The half-life formula is given by: y=a(b)th...(1) where y is the final amount, a is the initial…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A:

Q: The initial population of a town is 3300​, and it grows with a doubling time of 10 years. What will…

A: We will apply compounding formula to find population

Q: Suppose a country has a population of 40 million and projects a growth rate of 5% per year for the…

A: Given country has a population of 40 million and projects a growth rate of 5% per year for the next…

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A:

Q: Suppose a population of bacteria in a petri dish has a doubling time of six hours. How long will it…

A: topic - exponential function

Q: A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how…

A:

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 82% of the…

A:

Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

A:

Q: A patient is adminstered a dose of 50 mg of a drug. If the body naturally disposes of 5% of the drug…

A:

Q: Suppose a population of bacteria in a Petri dish has a doubling time of 6 hours. How long will it…

A:

Q: Suppose a country has a population of 20 million and projects a growth rate of 4% per year for the…

A:

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug…

A:

Q: Suppose a country has a population of 50 million and projects a growth rate of 3% per year for the…

A: Given query is to find the population of the country after 11 years.

Q: Suppose the doubling time of a population is 16 years. How long will it take for the population to…

A: NOTE: Refresh your page if you can't see any equations. . for doubling time, use the formula here…

Q: A person invested $3, 700 in an account growing at a rate allowing the money to double every 14…

A: we need to find the yearly compound interest rate then we will find the years taken for the value to…

Q: A particular drug is eliminated from the blood with a half-life of 12 hours. If a person has 100 mg…

A: Given that: Initial amount= P0 = 100 mg Half time= H= 12 hours Time=t =6 hours Final amount=P…

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.