The drug valium is eliminated from the bloodstream exponentially witha half-life of 36 hours.  Suppose that a patient receives an initial dose of 10 milligrams of valium at midnight.  How much valium is in the patient's blood at noon on the first day?  Estimate when the valium concentration will reach 15% of its initial level.

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: ount of asprin decays exponentiallyf(t) = Ae-ktat t = 0 ,   300 = Ae0⇒ A = 300

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

A: initial dose of 75mg at midnight. Half-life of Valium is 36 days.  Half-life equation: A=P0.5tn,…

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A: The exponential growth model is defined as, y = a(1 + r)t, where a is the initial amount, r is the…

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A:

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: We will solve the exponential model for the Aspirin decay

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A:

Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

A:

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given ,  The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: The count in a bacteria culture was 200 after 20 minutes and 1200 after 30 minutes. Assuming the…

A:

Q: Find the time it takes for $6,400 to double when invested at an annual interest rate of 4%,…

A: Given: sum, P=$6,400 r=4%=4100=0.04 We have to find time in which given sum becomes double. So,…

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 sample of bacteria initially has 1,500 cells/L. After 5 days, the sample contains 10,000 cells/L.…

A: Given that: Initial bacterial concentration = 1500 cells/LAfter 5 days, sample contains = 10000…

Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…

A: Let the exponential decay model be                           A=A∘ekt As given half-life of lead is…

Q: What is the half-life of tritium, which decays at a rate of 5.471% per year.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the time it takes for $8,900 to double when invested at an annual interest rate of 2%,…

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

Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a…

A: Given :-  Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: A certain tranquilizer decays exponentially in the bloodstream and has a half-life of 45 hours. How…

A: LetA0=100h=45 hrsA(t)=93We know thatA(t)=A0(12)th 93=10012t45Taking ln on both…

Q: Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately…

A: Directly use the formula for compound interest.

Q: How many years will it take for an invested amount of money to double its value when invested at…

A: If the interest is compounded continuously, then the formula: A=Pert is used. Here, A is the final…

Q: How long does it take S1700 to double if invested at 7% interest, compounded continuously?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Because of an economic slump, a company finds that its annual profits have dropped from 700 thousand…

A: First we shall find profit function with setting intial time 2006

Q: The amount of caffeine in the body after consumption follows an exponential decay model. after…

A: The time taken to decay half of the amount of the substance taken initially is called the half-life…

Q: A retirement savings plan pays 4.5% interest, compounded continuously. How long will it take for an…

A: Given: A retirement savings plan pays 4.5% interest, compounded continuously. To find: Time in which…

Q: Find the time it takes for $8,300 to double when invested at an annual interest rate of 11%,…

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

Q: The count  in a bacteria culture was 200  after 15 minutes and 1600 40 minutes assuming the count…

A: So we can model the growth of bacteria with an exponential function given by,             f(t)…

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

A:

Q: Find the time it takes for $5,300 to double when invested at an annual interest rate of 9%,…

A: Solution:

Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: In an effort to control vegetation overgrowth, 101 rabbits are released in an isolated area free of…

A: Initial population= 101  So the exponential equation is of the form: y=101(bx) Where x= number of…

Q: Someone notices that the number of gopher holes in their yard seems to be increasing exponentially.…

A: This is a exponential growth rate problem

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A: Given, A quantity with initial value of 2000 grows exponentially at a rate of 0.35 % every 2 days We…

Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

A:

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Given that the aspirin decays exponentially. Therefore, use the exponential model to find the…

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 culture of 100 bacteria grows to 150 after 2 hours. How long will it take to double in size?…

A: Condition 1: At t=0, P(0)=P0=100   Condition 2: At t=2, P(2)=150   If P(t)=2P0, then find t (in…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A:

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

A: Given,

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Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

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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: Find the time it takes for $6,600 to double when invested at an annual interest rate of 10%,…

A: NOTE** As per bartleby guidelines for more than one question asked only first is to be answered…

Q: A scientist begins with 100 mg of a radioactive substance that decays exponentially. After 35…

A: It is given that 50 mg of the substance remains after 35 hours. SO half of the substance remains…

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Let the amount of aspirin in bloodstream at time t be N(t) and initial the amount be N0. Therefore…

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…

Q: A population of bacteria grows exponentially and their population doubles If the initial observation…

A: NOTE: Refresh your page if you can't see any equations. . here we have the initial population is…