7. A 50mg sample of a radioactive iodine decays to 40mg in 20 minutes. (A) a) Assuming exponential decay, determine the half life of the radioactive iodine. (round to 1 decimal place) b) How long will it take for 95% of the original sample to be gone? (nearest minute)

Q: 3. An account with an initial deposit of $6,500 earns 7.25% annual interest, compounded…

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Q: 4. Radium decomposes at a rate proportional to the amount present. If half the original amount…

A: Solve differential equation

Q: Find the half-life of a radioactive substance that decays by 4% in 3 years. (Round your answer to…

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Q: 7. Traces of burned wood along with ancient stone tools in an archeological dig in Chile were found…

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Q: 6) Stanley Bank offers a money market account that earns 1.85% compounded continuously: a) If…

A:

Q: 38. What rate of interest compounded continuously will yield an effective interest rate of 6%?

A: We know that, if an amount P is invested at rate r for time t, compounded continuously yields amount…

Q: A scientist begins with 225 grams of a radioactive substance. After 300 minutes, the sample has…

A:

Q: Suppose a sample of a certain substance decayed to 77.4% of its original amount after 300 days.…

A:

Q: 8. How much money must you invest now at 3.5% interest compounded continuously in order to have…

A: Given,  Compound amount=  $ 20000 Time period = 10 years Rate = 3.5%

Q: 10. Oscar invests $46,200 in an account that earns 3.675% interest, compounded continuously. How…

A: Given , Oscar invested amount 46,200 dollars .             Interest is 3.675% it is compound…

Q: (7) The number of bacteria in a certain population increases according to a continuous exponential…

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Q: 6. Find the nimber of.years required for a $2000 investment to triple at a 9% interest rate…

A: The formula for continuous compounding is A=pert where A is the final amount p is principal amount r…

Q: 11) The half-life of silicon-32 is 710 years. If 30 grams is present now, how much will be present…

A: Given data : Ao=30 gmp =710 years t= 300 yearsLet "A" be the amount after 300 yearsA=?

Q: 30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7…

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Q: al Intal 5. What is the annual percentage yield for money invested at an annual fate UI 0.0820…

A:

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

Q: 17. Suppose that P dollars in principal is invested in an account earning 3.2% interest compounded…

A:

Q: If the half-life of a radioactive substance is 7,600 years, then at what rate is it decaying? 1…

A: We can find the rate of decay as below.

Q: 1. The population of a certain community follows the law of exponential CIAnge. Il uio prubom |…

A:

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

A:

Q: of a radiooctive substonce decayed to 93.5% of its original sample amount after oyear What is the…

A: we need find half life substance k=? and t=?

Q: 35. (a) How long does it take for an investment to double in value if it is invested at 8%…

A: Formula for amount if interest is compounded periodically is given as: A=P1+rnnt, where A is future…

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

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Q: 3- Suppose $5,000 is invested at an annual interest rate of 7%. Compute the balance after 10 years…

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Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

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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: The amount of caffeine in the body after consumption follows an exponential decay model. After…

A: 1) The time taken to decay half of the amount of the substance taken initially is called the…

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: 11 The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 4. Mr. Roberts invests $10,000 in an account that pays 3.75% interest compounded continuously.…

A:

Q: practice question 18

A: P0= Initial amount = 2700r= interest rate = 6.8% =0.068t= time = ?P(t)= Final amount = 2700 times 2=…

Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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Q: 5. (a) How long does it take for an investment to double in value if it s invested at 8% compounded…

A: Given query is to find the time taken to become an investment double of its value.

Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

Q: 7. At what interest rate compounded continuously must money be invested in order to triple in 10…

A: We know that  P=Aert where A= Principal value r=rate  and t=time

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: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

A:

Q: 2. If $2000 is invested at 6% interest, find the amounts due to the nearest cent at the end of 4…

A:

Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: Suppose a sample of a certain substance decayed to 79.6% of its original amount after 300 days.…

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Q: A sample of a newly discovered element, West Virginium, has been discovered. A 648 mg sample has…

A:

Q: 12. Given Bismuth-214 has a half-life of 20 minutes. What percent of the original amount is left…

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Q: 2. Half-life of a DNA of an extinct moa is 521 years. A 1 mg sample was estimated to be 6000 years…

A:

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the…

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: 11. A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,…

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Q: The annual usage time of the device whose failure time follows the exponential distribution is 1,000…

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Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

A: