Example The lifetime (in years) of a certain brand of battery is exponentially distributed with A = 0.25. %3D How long, on average, will the battery last?
Q: A population of a region is observed to be changing exponentially. Initially, the population had…
A: Answer
Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…
A:
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: Suppose 600g of a radioactive substance are present initially and 3 yrs later only 300g remain .…
A: Suppose 600g of a radioactive substance are present initially and 3 yrs later only 300g remain .…
Q: $10,000 is invested at an annual interest rate of 11% for a period of 5 value of the investment if…
A: the formula used to find the interest which is compounded continuously is Amount=Pert where A is the…
Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in…
A: P be the principal, r be the rate of interest, A be the amount after time t years
Q: A bank offered .04% interest on checking accounts reinvested weekly. a-) Find the associated…
A:
Q: A POPULATION OF INSECTS GROWS THERE Wtrt 170 INECTS AFTER THE THIRD DAY EXPONENTIALLY. OF THE…
A: Find your answer below
Q: Suppose you invest $17,000 at age 25 and want the investment to be worth $25,000 when you turn 35.…
A: Given, Amount invested = $17,000 Future value = $25,000 time in years = 10 Used formula, Formula for…
Q: 5. A man invested 1000 dollars in an account. How long will it take before this investment will…
A: Given: Principal investment (P)= $1000 Final amount (A)= $3000 Rate (R)= 5 % Let time be t years…
Q: The monthly percentage growth rate for a certain exponential function is 3%. By what percentage does…
A: Monthly growth percentage of exponential function is 3%.
Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…
A:
Q: Suppose you invest $16,000 at age 25 and want the investment to be worth $25,000 when you turn 35.…
A:
Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…
A:
Q: A wildlife biologist determines that there are approximately 145 coyotes ina region of a nationa…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Suppose that the half-life of a cesium is 30 years. If there were initially 1000 g of the substance…
A:
Q: A species of beetles grows 41% every year. Suppose 100 beetles are released into a field construct…
A:
Q: Why does the formula for exponential growth look familiar?
A: Exponential growth function looks like f(x)=a(1+r)x, where a is initial amount r is…
Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…
A:
Q: A fish population starts at 8,000 and decreases by 6% per year. Write an exponential decay function,…
A:
Q: What is the exponentially rate of 0.85% every what ?
A: This question can be solved using the exponential growth of a function at a annual rate of r%…
Q: A dog is anesthetized when its bloodstream contains at least 45 milligrams (mg) of the anaesthetic…
A: We can use exponential decay function to solve the problem
Q: 2. Suppose a population of insects increases according to the law of exponential growth. There were…
A: We will solve the problem
Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…
A: Given- There were 130 insects after the third day of the experiment and 380 insects after the…
Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon- 14 that is present in…
A:
Q: Which function produces an exponential graph through (0, 1) and (1, e)?
A:
Q: Suppose = ceka is an exponential function that has the points (1.7,6.8) and (12.7,12.6) on its = ce…
A:
Q: A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the…
A: Given Mass of the bacteria in the culture increases exponentially with the mass increasing by 241%…
Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…
A: We have to find how long ago, to the nearest year, was the artifact made.
Q: A bank offered .05% interest on checking accounts reinvested monthly. A- Find the associated…
A: Consider the given information, Rate is 0.04% monthly and principal amount is $5000. Now, use…
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 bacterial population flows the “law of exponential change". If between noon and 2:00 PM the…
A: image is attached
Q: A virus population follows the law of exponential change. If between 9am and 11am, the population…
A: Given: Population of virus follows a exponential growth function. Also, between 9 am to 11 am,…
Q: wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in living…
A: We have given that a wooden artifact tomb contains 25 percent of the carbon-14 that is present in…
Q: The population of a school is 800 students and is increasing at a rate of 2% per year. Write an…
A: Given:
Q: In 1996, an outbreak of a disease infected 16 people in a large community. By 1997 , the number of…
A:
Q: The first recorded population of a particular country was 22 million and the population was 34…
A: Given,The first recorded population of a particular country was 22 million and the population after…
Q: An exponential function has a growth factor of 1.03. What is the percentage growth rate?
A: Given: Growth factor=1.03
Q: A car costs $30,000 when purchased as new and depreciates at a rate of 18% per year. 1. Write an…
A: Given : A car costs $30,000 when purchased as new and depreciates at a rate of 18% per year. To…
Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of Town…
A:
Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…
A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.
Q: a Credit How much should be invested now at an interest rate of 3% per year, compounded…
A:
Q: Suppose you invest $14,000 at age 25 and want the investment to be worth $25,000 when you turn 35.…
A: Given: Amount invested = $14,000 Number of years = 10 years Amount after 10 years = $25,000 To…
Q: A sum of $10,000 is invested at an annual rate of 8%. Find the balance in the account after 5 years…
A: Given that, The invested amount is P=$10,000. The rate of interest is r=8%=8100=0.08 The time…
Q: . The half-life of Iodine-131 is 7.2 hours. How long will it take for a sample of this substance to…
A:
Q: The interest on a bank savings account is compounded continuously, with an annual interest rate of…
A:
Q: A sample of an isotope decayed to 77.3% of its original amount after one year. What is the half-life…
A: Radioactivity phenomena follow first kinetics: so, Rate=kA1 k=constant by solving this…
Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year. Give an exponential…
A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…
Q: Consider an investment where $47,000 is invested for 5 years at 8% compounded continuously. How…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Find the positive geometric mean between 4 and 64.Lost-time accidents occur in a company at a mean rate of 0.3 per day. What is the probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3? Assume Poisson situation. P(X=3)Consider that the life time of a particular brand of laptop battery follows exponential distribution with an average lifetime 10 years. Again consider that you have this particular brand of a laptop battery which is 7 years old and still functioning. Find the probability that your laptop battery will alive 8 moreyears. Explain the procedure or methodology that you have used to solve this problem.
- A tubes lifetime for your company's microwave follow an exponential distribution with a mean of 5.6 years. Your sales policy states that each magnetron tube has a two year warranty. What fraction of the tubes should your company plan to replace under warranty?Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. The data provided show the waiting time until the next eruption for 272272 Old Faithful eruptions in 1990. Suppose that prior to 1990, travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 6969 minutes, and park scientists believe that this average is no longer true. Suppose that, based on historical data available over several decades, the scientists are comfortable assuming that all eruption waiting times have a known standard deviation of 17.24817.248 minutes. 54 74 62 85 55 88 85 51 85 54 84 78 47 83 52 62 84 52 79 51 47 78 69 74 83 55 76 78 79 73 77 66 80 74 52 48 80 59 90 80 58 84 58 73 83 64 53 82 59 75 90 54 80 54 83 71 64 77 81 59 84 48 82 60…There are M different books in the library. Each of the M books lasts an exponential amount of time with mean mu before its stolen. Assume that each book is stolen independently. The librarian will quit when the first one of the books is stolen. What is the distribution for the length of time the librarian lasts in the library?
- A share follows a discrete-time log-normal process with initial price ?=£3000, u=0.02, and o2=0.015, where the time-step is 1 year. Find the probability that a European call on the share with strike price £3300 and expiry date 4 years will be exercised. State your answer as a decimal to three significant figures.Drivers arrive at a toll booth at a rate of 3 per minute during peak traffic periods. The time between consecutive driver arrivals follows an exponential distribution. What is the probability that takes less than 1/2 of a minute between consecutive drivers?For a specific site, earthquakes above magnitude 7 have a return period of 500 years. We are designing a dam with a design life of 100 years. We want to design this dam with a 1% probability of damage during it’s lifetime. Effects of each earthquake are statistically independent. a) Assuming that you can model magnitude 7 earthquakes following a Bernoulli sequence, what is the probability of damage to the dam by a single earthquake? b) What would be the probability of damage to the dam in the next 40 years? Use the results of part a and assume that this can be modeled as a Poisson process.
- The lifetime of a certain type of TV remote control is given by Y . Suppose Y has approximately exponential distribution with mean 8 years. a) Find the probability that a remote control of this type will last more than 15 years. b) Find the probability that of eight such remote controls at least one will last more than 15 years.Consider that the lifetime of a particular brand of laptop battery follows an exponential distribution with an average lifetime of 10 years. Again consider that you have this particular brand of laptop battery which is 7 years old and still functioning. Find the probability that your laptop battery will alive for 8 more years. Explain the procedure or methodology that you have used to solve this problem.Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
