Do the ordered pairs (x, ln(y)) form a linear or exponential function? Justify your answer. e. Find a possible formula for ln(y) as a function of x, using the value from the table in part c. Show your work. f. Solve your formula for y. g. Write your answer in the form y=ae^kx showing all steps and compare your answer to part a

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 270 minutes,…

A: We will solve the following.

Q: At the beginning of an experiment, a scientist has 332 grams of radioactive goo. After 90 minutes,…

A: Given A Scientist has 332 grams of radioactive goo.  After 90 minutes, her sample has decayed to…

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

A:

Q: After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. (a) Find a formula for m(t), the mass…

A: GIVEN After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. We need to find (a) Find a…

Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Solving the differetial equation: Q'=-rQ

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A:

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

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

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

A: We will use the given decay function and initial conditions to find the require time

Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 210 minutes,…

A:

Q: At the beginning of an experiemnt, a scientist has 348 grams of radioactive goo. After 255 minutes,…

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

Q: How many years will it take for an initial investment of $20,000 to grow to $50,000? Assume a rate…

A: The principal amount, P = $20,000 Future amount, A = $50,000 Rate of interest, r = 11% = 0.11 To…

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

Q: A radium isotope decays exponentially and its half-life is 1600 years. Using the equation A(t)…

A: Given Half time = 1600 years At=A0e-kt

Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

A: We are given the initial value to be $12000 and rate r = 4.5% = 0.045. Now, we need to find that how…

Q: 4. For what value of a are the graphs of y Recall that loga a and y loga tangent to In zYou should…

A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 210 minutes,…

A: Given: At the beginning of an experiment, a scientist has 284 grams of radioactive goo and after 210…

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: Find a formula for the exponential function passing through the points (-2,-) and (1,10) y =

A: On solving this we will asume firstly general exponential function so  we will get

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 60 minutes,…

A: Answer

Q: At the beginning of an experiment, a scientist has 316 grams of radioactive goo. After 225 minutes,…

A:

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Cost of new machine = 60,000 Investment = 60000 Rate of interest, r= 1.4% per year = 0.014 Time = 6…

Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus…

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics…

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: The half-life of plutonium-241 is 13 years.  What is the decay constant?  Use the approximation…

A:

Q: sketch the shifted exponential curves

A: To draw the graphs , first draw x and y axes . Label x for x-axis and y for y-axis . Choose some…

Q: The half-life of radium-226 is 1590 years. Suppose we start with a sample of radium-226 whose mass…

A: Given: The half life of radium is 1590 years. Mass of the sample= 50 mg

Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314c), you can derive a rule of thumb that…

A: Formula of compound continuously is

Q: How many years will it take for an initial investment of $20,000 to grow to $70,000? Assume a rate…

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Q: At the beginning of an experiment, a scientist has 128 grams of radioactive goo. After 105 minutes,…

A: Half life of radioactive material is 26.25 min. Radioactive goo remained after 23 min is 69.74 gram.

Q: At the beginning of an experiment, a scientist has 388 grams of radioactive goo. After 150 minutes,…

A: Given data are: Initial amount of radioactive goo= 388 grams Amount of radioactive goo after 150…

Q: At the beginning of an experiment, a scientist has 336 grams of radioactive goo. After 105 minutes,…

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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: 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: How do I solve A=Pert, where P=$20, r=12%, t=3 years? $20 invested at 12% compounded continuously…

A: $20 invested at 12% compounded continuously after a period of 3 years.Calculate the Amount

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A: Use radioactive substance formula to determine it

Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 150 minutes,…

A:

Q: A company is considering expanding their production capabilities with a new machine that costs…

A:

Q: At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 180 minutes,…

A: We have to determine the equation for G(t) and remaining amount after 32 minutes.

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

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Definition:                                Let f(x) and g(x) be positive for x…

Q: Write the equation for the exponential function that passes through the points (0, 1) and (3, 53)…

A: The exponential function passes through the points 0,1 and 3,53 with asymptotes as y=-1. Assume the…

Q: (a) After 20 years, 15% of the initial mass of the radium has decayed. (i) Find the half-life period…

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Q: At the beginning of an experiment, a scientist has 196 grams of radioactive goo. After 210 minutes,…

A: