Estimate the value of E-2 (1/(n² + 4)) to within 0.1 of its exact value.

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: Decay of amount of carbon 14 is given by y(t) = yo e-0.0001216 t where yo is the amount of carbon 14…

Q: 3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

A: Let's find.

Q: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: 2. A body at 100°C warms at 120ºC after 5 minutes in a surrounding at 30°C. At what time will its…

A: Given- T0=100°C,Ts=30°C ,T=120°C To Find- The time at the temperature of the body will be double.…

Q: d) A population of 100 bacteria decays at a rate of 5% each day How many bacteria, y, will there be…

A:

Q: Σ 3 to within 0.043 of its exact value. 3 Estimate the value of n =1 n

A: Solution::  Series Estimation:

Q: The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) =…

A: The amount of carbon 14 remaining in a sample that originally contained A grams is given bt…

Q: 1. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:- exponential function

Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

A:

Q: 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will its…

A: Use the Newton's formula for finding the time. First use the Newton's formula for finding k then…

Q: A certain drug is eliminated from the bloodstream with a​ half-life of 34 hours. Suppose that a…

A:

Q: If f10,500 is invested fie 3 4ears at a rate of 9%.how much willyou have if interest Es compounded…

A: P=10500t=3 years.r=9%=0.09To find A

Q: 2. Assuming no withdrawals during the investment, how many years will it take for $500, invested at…

A:

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: The leadership of Newhampton is beginning to draw up their 2025-2030 five-year plan. In order to…

A: Given that Et represents enrollment of students in t years. At t=0, enrollment is: E0=2000 At t=15,…

Q: A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF…

A: Given that, after one hour, the 10% of the material is decayed. find the expression of the material…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A:

Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…

A: This is a problem of differential equation and integration. Based on the given scenario first of all…

Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: 4. A certain type of storage battery lasts on the average 3.0 y of 0.5 year. Assuming that the…

A: Given data,Mean μ=3.0sd σ=0.5P(X<2.3)=?

Q: What is the third-life of Woosterium-21? That is, find the time it takes a sample of Woosterium-21…

A: Exponential Decay Law A=A0e-kt t - time A - amount of sample after time t A0 - amount of sample at…

Q: 11) Suppose that $4000 is invested at an interest rate of 5.8% per year, compounded continuously.…

A: We can find the answer for question-11 as below.

Q: How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: Radioactive element decay rate.

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: A mold population is growth at 8% every three months. If there is initially 3 cm3 of mold, when will…

A: Formula for population growth is  P=P0ert where P = final population after time t P0 = initial…

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A:

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

A:

Q: 10 - What is the total amount of 4200 TL with 3,8 % continuously compound interest after 4 years? a)…

A: Given that,initial principal amount,P=4200 Rate of interest,i=0.038 Number of years of deposit,N=4

Q: 2. The population of the earth was 3 billion in 1970 and was increasing at a rate of 2% per year.…

A:

Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Exponential decay formula: - The amount drops gradually, followed by a quick decrease in the rate of…

Q: The half-life of a radioactive substance is 4 days. Determine the time that must pass until there is…

A:

Q: If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1…

A: The decay law is given by, A(t)=A0e-kt Where, A0 is the amount at t=0. And, t1/2=ln2k

Q: The formula for the amount A in a savings account compounded n times per year for t years at an…

A: You just need to find the limit of the given expression when 'n' is tending to infinity.

Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

Q: 4. A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Qo to…

A:

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given:             dAdt=k 0.043% of total amount has disintegrated :              =100-0.043%…

Q: b. A spherical metal ball with initial temperature of 190°C is placed outside where the temperature…

A:

Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

A:

Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

A: Consider that a scientist has 352 grams of radioactive goo. After 225 minutes, the sample decays to…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: A species is considered to be endangered if it is expected to be extinct within 20 years. A…

A:

Q: For a whole life insurance of 1000 on (x) payable at the end of the year of death: (a) q= 0.045 and…

A: Given: SA=1000qx=0.045qx+1=0.062v=0.95Ax+2=0.4523

Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A: The exponential function A = P * (1 - r)t  where A is the final amount and P is your inital amount.…

Q: Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that…

A:

Q: A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls.…

A: (a) Given that λ=250,  It will take 12 seconds to verify one card, So,  u=1 card / 12 sec=300 cards/…

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A:

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% ever (i) What wound be…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 3.168 gram at a certain time, what was the…

A: We will find out the required solution.