exponential function in the form f(t) = Yob^t

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: The number of bacteria in a certain population is predicted to increase according to a continuous…

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Q: A biologist has a 252-gram sample of a radioactive substance. Find the mass of the sample after four…

A: Let the initial mass No=252 gmmass after t hours=Ntgiven rate , r=19% , per hour=0.19

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given: Initial population of cockroaches = 3.5 millions = 3500000  Rate of decrease = r=18%=0.18…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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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: 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: A 35-year-old teacher is offered an opportunity to invest some money in a retirement account that…

A: As per our guidelines, we can answer one question only. please repost other seperately.

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

A: Let the initial value of bacteria= N0the no. of bacteria after time t is N(t)Then by continous…

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

A: The general form of a continuous exponential growth model is given as: P=P0ekt…

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

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

A: To use the given data (exponential model) to determine the initial data

Q: The number of bacterla in a certain population is predicted to increase according to a continuous…

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Q: A quantity with an initial value of 5700 decays exponentially at a rate of 7.5% every 2 days. What…

A: Given data: The given rate is r=7.5%. The given time is t=2 days. The initial value is A=5700. The…

Q: A student is 19 years old and the world has a population of 6.6 billion. Assuming that the…

A: Given Present population (P) = 6.6 Rate (R) = 0.6% Time  (n) = 72-19= 53

Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: topic - exponential function

Q: Show that a radioactive substance which exponentially decays to 20% of its initial value after 8…

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Q: sample of a radioactive isotope had an initial mass of 390 mg in the year 2007 and decays…

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

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Q: A quantity with an initial value of 980 decays exponentially at a rate of o.3% every decades. What…

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Q: population doubles in size every 29 years assuming exponential growth, find the a. annual growth…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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Q: sample of a radioactive isotope had an initial mass of 490 mg in the year 1995 and decays…

A: Given: Initial mass of the isotopes in the year 1995 is 490 mg.            In 1998, sample's mass…

Q: Because of a virus introduced into a bacterial culture, the population of the bacteria decreased…

A: Exponential decay is N = 50000e-λt Therefore, 30000 at t= 54 min Therefore 30000 = 50000e-λ54…

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

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Q: A material decays at the rate of 0.099% per year. How long will the material take so that only 30%…

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Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 380 and is…

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Q: A biologist has a 3512-gram sample of a radioactive substance. Find the mass of the sample after six…

A: Explained below

Q: A person places Php100,000 in a savings account which pays 3 percent interest per annum, compounded…

A: 2. Given that, A person places Php 100,000 in a savings account which pays 3 percent interest per…

Q: The drug Valium is eliminated from the bloodstream exponentially with a half life of 36 hours.…

A: The formula for Valium level a time t is given by N(t)) = N0 e-λt Given initial dose N0 = 20mg t1/2…

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate…

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

A: Here we will find the number of hours  for sample to double its size,

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given information:  Cockroach population decrease by 18% in 12 years.…

Q: Suppose that all car owners fill when their tanks are exactly half full. At the present time, an…

A: Given that (1) The number of customers per hour arrive at a single pump gas station λ=7.5 the time…

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

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Q: The drug Valium is eliminated from the bloodstream exponentially with a half-life of 36 hours.…

A: Given that the initial dose is 40 milligrams of valium at midnight. The half-life of valium is 36…

Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…

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Q: A biologist has 6827 gram sample of a radioactive substance. Find the mass of the sample after four…

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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…

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Q: A computer virus can grow exponentially just like a real virus in a person's body. Suppose the…

A: Given that: Initial bytes infected = 11 bytesRate of growth = 7% per min.

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

A: Solution:-  An insurance company expects that 30% of high-risk drivers will beinvolved in an…

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay 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: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: A biologist has an 884-gram sample of a radioactive substance. Find the mass of the sample after…

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

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Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.