If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1 (Hint: The amount goes from A, to A, in 6,700 years.) The decay rate, k, is (Round to six decimal places as needed.)

Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

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

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Q: A fragment of bone is discovered to contain 20% of the usual 14C concentration. Estimate the age of…

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Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: Complete the table shown to the right for the half-life of a certain Half-Life Decay Rate, k…

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Q: Complete the table shown to the right for the half-life of a certain radioactive substance. ...…

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Q: How many years will it take for an initial investment of $30,000 to grow to $75,000? Assume a rate…

A: An initial investment (P) compounded continuously with a rate of interest (r) in time (t) will grow…

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

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

Q: At what nominal rate compounded continuously must money be invested to triple in 7 years? ..... A…

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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: An initial amount of $1900 is invested in an account at an interest rate of 8% per year, compounded…

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Q: A utility company in a western city of the United States expects the consumption of electricity to…

A: Given: A  utility company in a western city of the United States expects the consumptionof…

Q: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

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 |…

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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: At what nominal rate compounded continuously must money be invested to double in 6 years? A rate of…

A: We will solve the problem

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

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Q: If the half-life of a radioactive substance is 5,200 years, then at what rate is it decaying? (Hint:…

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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: At what interest rate compounded continuously must money be invested to triple in 6 years? A rate…

A: Continuously interest compounded formula is P(t) =Po ert

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

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

A: The Newton's Law of cooling is:…

Q: An initial amount of $3700 is invested in an account at an interest rate of 6.5% per year,…

A: Given :Initial Amount = P=$3700Interest rate = 6.5% per year=6.5100=0.065Time = 2years

Q: 1. Strontium-90, 90Sr, has a half-life of 29 years. a) If 42.5 grams remain after 50 years, what is…

A: The formula for the quantity remaining of a substance after t years is: Nt=N012tt12 Here, t12=…

Q: Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive…

A: At initial the quantity of the substance is Ro = 1400 counts/minute.   At time t = 15 days   The…

Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

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Q: If the half-life of a radioactive substance is 6,800 years, then at what rate is it decaying? (Hint:…

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Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A: The formula for continuously compounded interest is, A=Pert where P is the principal amount, r is…

Q: Complete the table shown to the right for the half-Kife of a certain radioactive substance.…

A: Consider the radioactive decay function, At=A0e-kt Where, At represents the amount of substance left…

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: In 1798 the English political economist Thomas R. Malthus claimed that, unchecked by environmental…

A: The growth rate can be evaluated as the change of the value of the function in the given time…

Q: 4 The gross domestic product (GDP) of a certain country was N(t) = t? + 5t + 106 billion dollars t…

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Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

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Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

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Q: Carbon 14 has a half-life of 5,730 years. How fast is a lump of 80 grams decaying after 100 years?…

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Q: A pizza, heated to a temperature of 400 degrees, is taken out of an oven and placed in a 70 degree…

A: According to property of energy transfer, heat will transfer from body at higher temperature to body…

Q: At what interest rate compounded continuously must money be invested to double in 4 years? A rate of…

A: Use formula of compounded continuously

Q: Under laboratory conditions the half-life of ozone is approximately 25 hours. If Q = Qoekt is the…

A: Decay rate is value of k at which ozone decays. It can be easily found using initial condition

Q: 3. What will happen to Joshua's money if his money will be 6.33% compounded continuously for 17.36…

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

Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

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Q: A well has an initial rate of 550 STB/D and an initial decline rate, D0, of 0.02/month. Determine…

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Q: 2. At what rate of interest, compounded continuously will an investment double in six years? 3.…

A: (2) given that the principle amount will gets doubled in six years if the amount is compounded…

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

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Q: Scientists have observed that a small colony of penguins on a remote Antarctic Island obeys the…

A: We know that, P= P0ert where P is the population at time t. P0 is the initial population. r is the…

Q: At what interest rate compounded continuously must money be invested to triple in 4 years? A rate of…

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Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

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Q: A sample of a radioactive substance decayed to 92% of its original amount after a year. (Round your…

A: Firstly, we can set up exponential equation we can use formula

Q: At what interest rate compounded continuously must money be invested to double in 9 years? A rate of…

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