Suppose the population of certain fungi in a laboratory sample is 12. (A) If it quintuples in population every ninety-eight hours, what is the growth rate per week? (B) How many fungi will there be after six weeks?

Q: 10. Engr. Igup invested P200 000 in a savin gs account with interest rate of 4% compounded…

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Q: picture included

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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: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Continuous growth model is  P = P0.ert where P0 = initial population and.    P = final population…

Q: population

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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: The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s…

A: Consider the following:

Q: A quantity with an initial value of 200 grows continuously at a rate of 55% per day. What is the…

A: Let the quantity Pn grown continuously at a rate of 55% per day. Initial quantity is P0=200.

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 quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

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

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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 number of bacteria in a certain population increases according to a continuous exponential…

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Q: At the time of the birth of a child, a parent wants to begin a college fund that will grow to $43000…

A: Given that the interest is compounded continuously

Q: What rate is required to grow 750 to 7500 in 14 years?

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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: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

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Q: Use an annual growth rate of 0.6​% in a 10 year period for a certain population to find the…

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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: The number of bacteria in a certain population increases according to a continuous exponential…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: topic - exponential function

Q: Determine the growth constant of a population that is growing at a rate proportional to its size,…

A: Consider the population size is given as P(t). The expression for the exponential growth rate is…

Q: Find the accumulated amoust of P6,428 at the rate of 11% compounded continuously after 6 years.

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: In this question we have to find how many hours does it take for the size of the sample to double.

Q: The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

A: Topic: percentage

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: 4. The population of the world is expected to double in the next 30 yr. What is its growth rate?

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Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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Q: How long will it take for 1000 to decay to 500 with a loss of 3% a year (approximate historical…

A: Given : Initial value = 1000 Final value = 500 Loss is 3% per year Apply the exponential decay…

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 the half-life of a certain radioactive substance is 20 days and that there are5 grams…

A: Given that, The half-life of a certain radioactive substance is 20 days and that there are 5 grams…

Q: Suppose it is known that the population of the commu nity in Problem I is 10,000 after 3 years. What…

A: It is given that the population of the community is 10,000 after 3 years. We have to find the…

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 radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

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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…

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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: The number of bacteria in a certain population increases according to a continuous exponential…

A: Doubling time is the amount of time it takes for a value or quantity to double in size whenever the…

Q: In one experimental study, the growth of a certain insects is increasing at a rate proportional to…

A: Given: The growth of insects is increasing at a rate proportional to the number present. To Find:…

Q: Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

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Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

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Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A:

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

A: The decay rate is proportional to the amount present. So, dNdt=-λN⇒dNN=-λdt⇒∫dNN=-λ∫dt+C⇒ln…

Q: 2. The population of a suburb doubled in size in an 18-month peri growth continues and the current…

A: In this question we will use basic of calculus i.e application of differential equation. We will…