The population of a certain inner-city is estimated to be declining according to the model P(t)= 211,000e^-0.02t where t is the number of yours from the present. What does this model predict the population will be in 14 years round to the nearest person

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A: Let's Solve,

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A: half life problem

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Q: Suppose a population is dying with a half-life of 43 years.The initial size is 1600. How long will…

A: We will find how long will it take to reach 200 as following .

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A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4…

A: We use the formula                                P = ∫0T f(t)e-rt dt

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…

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A:

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: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 45% a…

A: At initially 175 trouts are present,Population will grow by 45% a year,Maximum trouts which can be…

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: $400 invested at 7% compounded continuously after aperiod of 3 years

A:

Q: The rate of a continuous money flow starts at ​$600 and increases exponentially at 4% per year for…

A: Given, Initial amount P0 = $600 R = 4% = 0.04 T = 15 years

Q: A certain specimen of charcoal contains 55% of Carbon – 14 as compared to a charcoal at present day.…

A: Given- X=X0e-kt  and the charcoal contains 55% of carbon as compared to present day and the value of…

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Q: Suppose 150 trout are seeded into a lake. Absent constraint, their population will grow by 35% a…

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Q: The half-life of Cesium-137 is 30.7 years. How long will 200 grams of Cesium-137 take to decay to…

A: Given data The half-life of the cesium-137 is t1/2 = 30.7 years. The initial amount of the…

Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Carbon extracted from an ancient skull combined only one-sixth as much as C14 as carbon extracted…

A: Let's find age of skull.

Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

A:

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

A: Topic-basic maths

Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

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Q: A radioactive substance decays at a continuous rate of 17% per day.  After 8 days, what amount of…

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Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 50% a…

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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: 4. The population of Lalaland is 600,000 currently and is expected to grow (continuously) at 3.5%…

A: The present population P =600,000 Growth rate r = 3.5 % per year To find population after time t =…

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 65% a…

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Q: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

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Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

A:

Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

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Q: $2000 is invested in an account that pays interest compound continuously, how long will it take to…

A: The answer is given below:

Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: If 26 grams of radioactive waste reduces to 19.35 grams of radioactive waste after 1120 years, then…

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Q: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

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Q: The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be…

A: A(t)=A0(1/2)t/h h is the half life A0 is the initial value

Q: A radioactive substance is known to have a half-life of 78 years. Calculate the number of years it…

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Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: Here, the exponential model is given by: P(t)=a×bt...(1) where P(t) is the number of cases after a…