Studies show that the minimum half-life of Norepinephrine is 2 minutes. Use the following to construct a function that will model the minimum amount of Norepinephrine left in the body after an initial dose of 20 mg. Q(t) = Pet Where Q(t) describes the amount of Norepinephrine left in the body after t hours following an initial dose of P mg. 1. Q(t) = 2. How long (in hours) will it take for the amount of Norepinephrine left in the body to reach 5 mg?

Q: In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was…

A: We need to find out the year in which the cost of mailing a first class letter reach 60 cents.

Q: Consider the following scenario: The rate of increase in the number of p who have committed drug…

A:

Q: The number of bacteria in a culture is given by the function ?(?) = 350?^0.8?, where t is measured…

A:

Q: The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that…

A: We will modern the following question by the function in next step.

Q: One yardstick for measuring how steadily-if slowly-athletic performance has improved is the mile…

A: (a).       The function that express the record time for the mile run, M, in terms of number of…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the maximum concentration of antibiotics in bloodstream.

Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.3​% per year.…

A: To solve the following problem

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Total income over first 8 year is:-

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: The magazine Scientific American released a study of data analysis on how quickly children are able…

A: The function P(t) represents the percentage of children who can speak in at least single words by…

Q: new

A: Please refer to the image below

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A:

Q: One company buys a new bulldozer for $126400. The company depreciates the bulldozer linearly over…

A:

Q: The number of applications for patents, N. grew dramatically in recent years, with growth averaging…

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A: Given: N'(t)=0.049 N(t)Therefore:dNdt=0.049 N

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given that, After an antibiotic tablet is taken, the concentration of the antibiotic in the…

Q: In 2003 the number of online viewers was projected to grow according to the function. N(t)= 52t0.531…

A: As t=1 corresponds to 2003 then the value of t corresponds to 2010 is 2010-2003+1=8 Put this t=8…

Q: The revenue from a manufacturing process (in millions of dollars) is projected to follow the model R…

A:

Q: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

A: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: A quantity Q1 grows by 3% every hour. If the initial quantity (at t = 0) is Qo = 90, complete the…

A: Topic:-  function

Q: When $1000 is invested at r% interest (compounded continuously) for 10 years, the balance is f (r)…

A: Consider that $1000 is invested at r% interest compounded continuously for 10 years. Calculate the…

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

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

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: The demand for a natural resource t years from now will be increasing at a rate of te0.0017 million…

A:

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: To find when does the mass reaches 50 grams

Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t)…

A:

Q: (a) A kitchen sink has a volume of 15 L. If the drain is closed and the sink is initially empty,…

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: (a) N'(t)=0.041N(t)dNdt=0.041NdNN=0.041dt∫dNN=∫0.041dtln N=0.041t+celn…

Q: An electric company uses time-of-day pricing to encourage cus- tomers to use electricity during…

A: A linear equation is a equation with degree equal to one. A degree in a equation is the highest…

Q: The annual amount of energy produced in a country from dry natural gas (in tnillion cubic feet) can…

A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: A certain radioactive substance has a half-life of 22 days. As a sample of the radioactive substance…

A:

Q: a) What is the maximum amount of the salt that will ever dissolve in the methanol? b) If x = 50 when…

A:

Q: A satellite radio station is launching  an aggressive advertising campaign  in  order to increase…

A: Initially, the value of the listeners is given as 27,000.   The growth rate of the S(t) is given as:

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

A: Rt=10t5t2+4

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  find t when m=50…

Q: By 2019, nearly $1 out of every $5 spent in the U.S. economy is projected to go for health care. The…

A: The figure is:

Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well thatís…

A: weight of bucket=3lb weight of water at starting=37lb deepness of the well =60 feet bucket lifts at…

Q: In the theory of learning, the rate at which a subject is memorised is assumed to be proportional to…

A: The subject to be memorized is given by At at time t. The total amount of subject to be memorized is…

Q: t)=7(0.27)t, where the output f(t) measures the volume of liquid (in milliliters) in terms of is the…

A:

Q: Use the position function below to solve the following problem. A projectile is fired vertically…

A:

Q: In Example 2, we modeled the population size (in millions) of the United States as N(t) = 8.3(1.33)'…

A: The solution of above question no. #30 is written below with graph.

Q: The number of bacteria in a culture is given by the function n(t)=950e^0.35t where t is measured…

A: The number of bacteria in a culture is given by n(t) = 950e^{0.45t}e0.45t

Q: n the United States, the percentage of adults (age 20–74) classified as obese held steady through…

A:

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A:

Q: The average annual pay for truckers P in a certain country​ (in thousands of​ dollars) can be…

A:

Q: The farm population has declined dramatically in the years since World War II, and with that…

A:

Q: he differential to approximate the change in average cost per racket if production is (A) increased…

A: