The annual usage time of the device whose failure time follows the exponential distribution is 1,000 hours. What is the average life expectancy required to be designed to adjust the annual failure rate of this device to within 5%?

Q: 2. A certain region had an initial rabbit population of 24, and the population is increasing at a…

A:

Q: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

A: exponential model P = Abt  where P is production t is time, A and B are constants. for exponential…

Q: 38. What rate of interest compounded continuously will yield an effective interest rate of 6%?

A: We know that, if an amount P is invested at rate r for time t, compounded continuously yields amount…

Q: [4] An ant colony is growing 28% per day. Is the model for this growth linear or exponential? A. В.…

A: We have to find given data.

Q: 1. Suppose a population of rabbits starts with 30 rabbits. 60 days later, the population is 120…

A:

Q: (7) The number of bacteria in a certain population increases according to a continuous exponential…

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Q: The model for continuous (exponential) growth/decay is given by y = cekt, where c is the initial…

A: c=$13,100  ,  t=12  &  k=-9%=-0.09   Negaitive sign represents the depreciation

Q: 9. The initial value of a car is $24, 000. After one year, the value of the car is $19,350. What…

A: Given data is : The initial (t=0) value of the car is $24000 After one year t=1 the value of the car…

Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: To calculate an exponential smoothing forecast of demand, what values are required?   a.…

A:

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

Q: 5 Find a formula for the exponential function passing through the points (-1,7) and (1,20) y =

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Q: 16. A bacteria culture in a laboratory has an initial population of 25 000. Five days later, its…

A:

Q: The population of a certain country in 2005 is 102,250,852 and has been growing at the rate of 3.12%…

A: Exponential growth of polpulation.

Q: 4 Find a formula for the exponential function passing through the points 3, 27 and (1, 12). y =…

A:

Q: 1. The population of a certain community follows the law of exponential CIAnge. Il uio prubom |…

A:

Q: 21. The population of a town is decreasing at a rate of 2.5% per year. If the population in 2000 was…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find a possible formula for the exponential function through the points (0,3) and (3,24) graphed…

A: Let the exponential function be It passes through (0, 3), therefore, we have

Q: Assume that the component failure rate is A1=0.001 per hour and the voter failure rate is 2-0.01 per…

A:

Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

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Q: The number of days that elapse between the beginning of a calendar year and the moment a high-risk…

A: We are told that the distribution is exponential. So, we choose f(x) = ae-ax Where x belongs to [0,…

Q: 2. Suppose a population of insects increases according to the law of exponential growth. There were…

A: We will solve the problem

Q: 4. The initial value of a building is $986,260. After one year, the value of the building is…

A: exponential function can be represent as below : f(x) = a(b)x

Q: A piece of equipment is being insured against early failure. The time from purchase until failure of…

A: Let us denote T=the time until failure X=the payout Given,

Q: What is the third-life of Woosterium-21? That is, find the time it takes a sample of Woosterium-21…

A: Exponential Decay Law A=A0e-kt t - time A - amount of sample after time t A0 - amount of sample at…

Q: Use a- 0.2 to compute the exponential smootning forecasts for the time seres. Time Series Value Week…

A: Given information: The time series data is given.

Q: 8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8…

A: Exponential model of population is given by,     P(t) = Po * e^(kt).

Q: 3. The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. Hence the…

A: According to guidelines,  We can solve one question at a time, and three subparts formiste Given,…

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: A certain quantity has a yearly growth factor of 1.15.  What is the decade growth factor?

A: Given: Yearly growth factor, (1+r)1=1.15 The objective is to find the decade growth factor.

Q: 4. Mr. Roberts invests $10,000 in an account that pays 3.75% interest compounded continuously.…

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Q: 9. The number of bacteria in a Petri dish grows exponentially, starting with just 1 bacterium, but…

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Q: At time t = 0, 650 bacteria are in a petri dish, and this amount triples every 13 days. How many…

A: Since you have posted multiple questions in this question i can do first question as per our company…

Q: 4. The lifetime (X) of an alkaline battery is exponentially distributed with A = 0.05 per hour. A…

A:

Q: 1. In each case, state whether the described growth or decay is linear or exponential, and explain…

A: Given  In each case we need to mention whether that is a linear or exponential growth.

Q: The global population has been estimated to have been 5.267 billion in 1990 and 6.689 billion in…

A:

Q: 7. At what interest rate compounded continuously must money be invested in order to triple in 10…

A: We know that  P=Aert where A= Principal value r=rate  and t=time

Q: 4. Communicate Precisely How are exponential growth functions similar to exponential decay…

A: Similarities: Exponential growth and decay equations is an mathematical equations that involves…

Q: have submitted this question multiple times and am still not getting the right answer.  please help.…

A: I have submitted this question multiple times and am still not getting the right answer.  please…

Q: If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1…

A: The decay law is given by, A(t)=A0e-kt Where, A0 is the amount at t=0. And, t1/2=ln2k

Q: 1. In parts of the United States, wolves are being reintroduced to wilderness areas where they had…

A: Given Data: Starting number of wolves=20 yearly growth factor=1.2

Q: 1. What is the sum of the 2nd and 16th Fibonacci numbers? 2. During the start of the COVID-19…

A: As per guidelines, we are supposed to solve only first three questions. Please repost other…

Q: 1. The population of a certain country has grown at a rate proportional to the number of people in…

A:

Q: During the start of the COVID-19 pandemic it is assumed that the rate of spread of the corona virus…

A: Logistic growth model is given by: y(t)=c1+ae-bt...(1) where, y(t) is the number of cases at time t.…

Q: 6. You deposit $1600 into an account that pays 2.5% interest compounded continuously. When does the…

A: This question is related to compound interest.

Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

A: The initial population is 5000. The population after 10 days is 100. We need to determine the decay…

Q: With the gasoline time series data from table 17.1, show the exponential smoothing forecasts using a…

A: a.

Q: The useful life of an electrical component is exponentially distributed with a mean of 1,000 hours.…

A: Let X denotes the useful life of an electrical component and it follows an exponential distribution…