suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in population every 6 hours, what is the growth rate? how many bacteria will there be in two days?

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

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Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

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Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

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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: How long will it take for an investment of $1000 to double in value if the interest rate is 8.5% per…

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

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: How much money invested at 5% compounded continuously for 3 years will result in $82

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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: The population of bacteria cells in a dish decays exponentially at a rate of 5% per hour. If there…

A: Given,          The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

Q: An account now contains $3,670 and has been accumulating interest at 5% annual interest, compounded…

A: We have to find the amount in the account 5 years ago.

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

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

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Q: See photo attached, thank you.

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Q: What is the half-life of a radioactive substance if it takes 5 years for one-third of the material…

A: We have to find half life period

Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A: According to the question, we have to find the total amount after 3 years , If $20,000 is invested…

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

A:

Q: How many years will it take for an invested amount of money to double its value when invested at…

A: If the interest is compounded continuously, then the formula: A=Pert is used. Here, A is the final…

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: If $4000 is deposited in a savings account that earns interest at an annual rate of 7.5% interest…

A: NOTE: Refresh your page if you can't see any equations. . here we have,  P=4000 r=7.5%=0.075 t=4…

Q: suppose $5000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: To determine the taken by an investment of $ 5000 to double.

Q: How much money should be invested at a rate of 6% compounded continuously to produce an amount of…

A:

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: Someone notices that the number of gopher holes in their yard seems to be increasing exponentially.…

A: This is a exponential growth rate problem

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

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 toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

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Q: Researchers recorded that a certain bacteria population declined from 100,000 to 100 in 24 hours. At…

A: We have to find number of bacteria in 8 hours into the experiment where researchers recorded that a…

Q: suppose $5,000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: Given,

Q: How much money must be invested now at 10% interest compounded continuously so that $120,000 will be…

A:

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: How many years will it take $6,000 to grow to $10,400 if it is invested at 4.75% compounded…

A:

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

A:

Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

A: Given,          An initial population of 32 grows exponentially at a rate of 50% per year.We know…

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

A:

Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: Suppose you invest $2000 at a rate of 3.25% continuously, what is the worth of the investment after…

A: Given that P = $2000  rate of Interest = 3.25% continuously, we have to find what is the worth of…

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

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

A:

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: How many years will it take $8,000 to grow to $12,900 if it is invested at 3.25% compounded​…

A:

Q: How long (in years) will it take a $900 investment to be worth $1000 if it is continuously…

A: Amount = $1000 Principal=$900 Interest rate = 8%

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

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…

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.