Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in population every 6 hours what is the growth rate? How manty bacteria will there be in two days?

Q: Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. What…

A: Principal= P= $8000 Interest rate = 5.2%= 0.052 Final amount = double of 8000=16000

Q: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

A:

Q: A student is 25 years old and the world has a population of 6.2 billion. Assuming that the…

A: Given,  Student's current age = 25 Student's future age = 68 Time (t) = 68 - 25  = 43 Annual growth…

Q: Suppose a population is dying with a half-life of 43 years.The initial size is 1600. How long will…

A: We will find how long will it take to reach 200 as following .

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

A: Given that the​ half-life of​ carbon-14 is 5600 years and if a piece of charcoal made from the wood…

Q: A certain radioactive element decomposses at a rate proportional to the amount present. If 100…

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Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

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: Suppose that money is deposited daily into a savings account at an annual rate of $1300. If the…

A: P = $1300 r = 4% N = 4

Q: What rate is required to grow 100 to 10,000 in 10 years?

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Q: Suppose the population of a city has been growing at a rate of 2.5% per year for each of the last 8…

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Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with…

A:

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: Given that, population of a certain bacteria in a laboratory sample is P=100. For every 6 hours the…

Q: Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per…

A: We will find out the required solution.

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

A: Formula to calculate continuously compounded interest: A = Pert where, A is Amount at time t,P =…

Q: How long would it take for a population to double if the population growth is 0.5%? please show your…

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Q: The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the…

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Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half…

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Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1200. If the…

A: Compound interest problem.....

Q: Radioactive radium has a half-life of 1899 years. If 20g of the substance are present initially,…

A:

Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

A:

Q: Find the amount after 3 years if $ 1000 is invested at an intrest rate of 12% per year, compounded…

A: Given :             The amount invested is $1000.             Interest rate = 12% per year.…

Q: If the generation time is 90 min and the initial population contains 103 cells, how many bacteria…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the…

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Q: see attached

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Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: An Asian country had a population of about 0.90 Billion people in 1995 and a growth rate of 1.3% per…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

A:

Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

A: Given After 30 years substance decayed to 10 % of its original amount

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

A: We can find the required year in the following steps.

Q: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half-life of the…

A: Let the given condition can be modeled as  y=y0eλt   where, y=  Final quantity y0= Initial quantity…

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

A:

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: A quantity with an initial value of 510 grows exponentially at a rate such that the quantity doubles…

A:

Q: An unknown radioactive element decays into non-radioactive substances. In 880 days, the…

A: The half life of a radioactive element is the time it takes to decay half of its original isotope.…

Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

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Q: National Park Service personnel are trying to increase the size of the bison population of the…

A: The increase in population can be calculated as shown below.

Q: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: consider an investment where $42000 is invested for 15 years at 6% compounded continuously. how much…

A: Given  Invested amount = $42000 interest rate = 6 % compounded continuously  time = 15 years

Q: What is the rate of decay after 15 years?  what is the rate of decay after 45 years?

A:

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Let the amount of aspirin in bloodstream at time t be N(t) and initial the amount be N0. Therefore…

Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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.