Suppose Q = 39.3(0.657)'. Give the starting value a, the growth factor b, and the growth rate r if Q = a · b' = a(1 + r)'. a = help (numbers) b = help (numbers) r = % help (numbers)

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

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Q: Suppose $5,000 is invested at 7% intrest compounded continiously. How long will it take the…

A: The investment amount P = $ 5000. The interest rate r = 7% compounded continuously. The final amount…

Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

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Q: Find the effective rate of interest. For 6% compounded continuously

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Q: Find the effective rate of interest.; For 4% compounded continuously

A: 4% compounded continuously.

Q: Find the effective rate of interest.For 5% compounded continuously

A: Here we have to find the effective rate of interest. For 5% compounded continuously.  r = 5%…

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

A: I have appended the formula used in the solution part.

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: Of an initial amount of 9000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

A: Apply the formula  P(t)=Po(1-r)t where, Po is the initial quantity r is the rate and t is the time.…

Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

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

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Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: Suppose the population of certain fungi in a laboratory sample is 12. (A) If it quintuples in…

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

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

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Q: the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate…

A: Given query is to provide information regarding instantaneous rate of change and average rate of…

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

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Q: What initial investment at 6% compounded continuously for 8 years will accumulate to $50,000? (Round…

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Q: Find the amount that results from the given investment. $10 invested at 9% compounded continuously…

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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 amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

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: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A: The formula for continuously compounded interest is, A=Pert where P is the principal amount, r is…

Q: Of an initial amount of 8000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

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

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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: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

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Q: he number of cases within 3 days due to coronavirus is as follows: 21 May 2020: 961 New Case 22…

A: (1a)   Let us consider the time values t as 1, 2, and so on. X: as the number of new cases.

Q: What initial investment at 8% compounded continuously for 5 years will accumulate to $50, 000?

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Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given:             dAdt=k 0.043% of total amount has disintegrated :              =100-0.043%…

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

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Q: 11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3…

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Q: If a new car is valued at $20,600 and 8 years later it is valued at $3000​, then what is the average…

A: Given that the value of a new car is $20,600 and 8 years later it is valued $3,000.The initial value…

Q: In March 1976 the world population reached 4 billion. At that time, a popular news magazine…

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Q: 2.) The​ manufacturer's suggested retail price​ (MSRP) for a particular car is $24,630​, and it is…

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Q: A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabbit…

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Q: Suppose that a machine's production can be considered as a continuous income stream with annual rate…

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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. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: The half-life of plutonium 239 is 24,200 years. Assume that the decay rate is proportional to the…

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Q: Of an initial amount of 7000 g of lead-210, how much will remain in 180 years? Lead-210 decays at a…

A: Given that: Initial amount of lead, P0=7000gRate of decay, k=3.15%per year.

Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

A: Let say population is P. So population at time 't' is given by P(t). Assume initial population is P0…

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.