Show that a radioactive substance which exponentially decays to 20% of its initial value after 8 years has a half-life of approximately 3.45 years.

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,…

Q: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

A:

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

A:

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: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when…

A:

Q: Use the exponential decay model, A =Anekt, to solve the following The half-life of a certain…

A: The exponential decay model is given by

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

A:

Q: The population of a town is 2,500 people, and is decreasing at a rate of 3.5% per year. Write an…

A: Exponential Decay function Y = a(1-r)^t

Q: After 245 years half of a sample of radioactive element remains. Write the equation for modeling its…

A: First form the differential equation than solve it.

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

A:

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 an exponential growth or decay model in terms of the number of time periods x. P(x) -

A:

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: A fish population starts at 8,000 and decreases by 6% per year. Write an exponential decay function,…

A:

Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

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: 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: 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: In the exponential growth or decay function, explain the circumstances that cause k to be positive…

A: One of the most prevalent applications of exponential functions involves growth and decay models.…

Q: Find the exponential growth equation for a population that doubles in size every unit of time and…

A: Given: At time, t=0, No. of individuals=20.

Q: Suppose the population of a college is 9,000 students on Jan. 1, 2000, and 20,000students by Jan 1,…

A: Given data is .  Population of students in college in jan. 1, 2000 A0=9000 Population of students in…

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: A = A0(e-kt)  Where , k = Rate , t = time

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when…

A:

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

A: To find out the population after 9 months.

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

A: Explained below

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: Suppose that in 2020 the population of a certain country is 2 million and increasing with a relative…

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days.…

A:

Q: A biologist has a 991-gram sample of a radioactive substance. Find the mass of the sample after six…

A: For the following continuous exponential decay,

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

A:

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

A:

Q: Estimate the value of x to the nearest tenth when the y-value of the exponential function begins to…

A: We have to estimate the value of x to the nearest tenth when the y-value of the exponential function…

Q: According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to…

A:

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: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when…

A: Let N(t)=Cekt...........Equation (A)   Given- In year 1930, 48,829 women earned a bachelor's degree…

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: A quantity with an initial value of 2000 grows exponentially at a rate of o.35% every 2 days. What…

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

Q: Assume that an insect population grows according to the law of exponential growth. After the third…

A:

Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

A:

Q: Give two pieces of information that may be used to formulate an exponential growth or decay…

A: We have to give two pieces of information that may be used to formulate an exponential growth or…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

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

A: we have to slove the above question

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

A:

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: A biologist has a 553-gram sample of a radioactive substance. Find the mass of the sample after five…

A:

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

A:

Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.