Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, (a) give an expOnential model for the situation, and (b) how mmuch will remain after 500 years?

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A: Answer  is   7625

Q: 2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the…

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Q: look at attachment need for reference

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Q: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

Q: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

A: Given, Suppose $500 is deposited into an account paying interest at a rate of 7% continuously…

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A: Given : Quantity decays exponentially with constant decay constant k. The standard exponential…

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Q: How long (in years) would $500 have to be invested at 8%, compounded continuously, to amount to…

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Q: How long (in years) would $9,000 have to be invested at 8% compounded continuously to earn $1,561.60…

A: Concept:

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day.  Use…

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Q: How long will it take for an investment to triple, if interest is compounded continuously at 7%?…

A: We can find the answer as below.

Q: A saving account deposit of $150 is to earn 6.5% compounded continuously. What amount should have…

A: Use the formula for the compound interest and substitute the given values than simplify.

Q: Suppose that the half-life of a cesium is 30 years. If there were initially 1000 g of the substance…

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Q: A certain type of exponential growth can be described by the equation ,N = No10kt where No is the…

A: The exponential growth is described by the equation N=N010kt where N0 is the initial amount, k is…

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A: We can make it easier for you.

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: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: Suppose that a chemical reaction proceeds according to the law of growth and decay. If half the…

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Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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A: According to the question, we have to find the total amount after 3 years , If $20,000 is invested…

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Q: Assume a savings account had $6000 initially, and that the interest rate per year to be compounded…

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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…

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

Q: suppose that the half-life of a cesium in 30 years.if there were initially 1000g of the substance.(…

A: The radioactive decay is modelled using the formula: N(t)=N0e-kt, where N0 is the initial amount and…

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

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A: To determine the taken by an investment of $ 5000 to double.

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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…

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Q: The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

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Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

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Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

Q: How long will it take for an investment to triple, if interest is compounded continuously at 6%? It…

A: Given

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Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

Q: How long (in years) will it take a $900 investment to be worth $1000 if it is continuously…

A: Amount = $1000 Principal=$900 Interest rate = 8%

Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year.  Give an exponential…

A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…