Algebra 2 help...

A half life of a certain radioactive is 36 days. An initial amount of the material has a mass of 487 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.

  1. 👍 0
  2. 👎 0
  3. 👁 2,392
  1. amount = 487 (1/2)^(t/36) where t is the number of days.

    if t = 5
    amount = 487(.5)^(5/36)
    = 442.302 kg

    1. 👍 14
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Complete the table for the radioactive isotope. (Round your answer to two decimal places.) Isotope: 239Pu Half-life (years): 24,100 Initial Quantity: g Amount After 1000 Years: 0.6

  2. Math

    A radioactive substance decays according to the formula Q(t) = Q0e−kt where Q(t) denotes the amount of the substance present at time t (measured in years), Q0 denotes the amount of the substance present initially, and k (a

  3. Calculus-Modeling Equations

    An unknown radioactive element decays into non-radioactive substances. In 420 days the radioactivity of a sample decreases by 39 percent. 1.What is the half-life of the element? 2.How long will it take for a sample of 100 mg to

  4. Math

    How do I solve this if there is no equation to this 1. The population of the bacteria in a Petri dish increases by a factor of 10 every 10 hour. If there are initally 20 bacteria in the dish, how long will it take before the

  1. Chemistry

    Which radioactive sample would contain the greatest remaining mass of the radioactive isotope after 10 years? A. 2.0 grams of 198 Au B. 2.0 grams of 42 K C. 4.0 grams of 32 P D. 4.0 grams of 60 Co By the way the numbers next to

  2. Calculus

    The radioactive element polonium decays according to the law given below where Q0 is the initial amount and the time t is measured in days. Q(t) = Q0 · 2-(t/140) If the amount of polonium left after 700 days is 45 mg, what was

  3. algebra 2

    In the formula A(t) = A0ekt, A is the amount of radioactive material remaining from an initial amount A0 at a given time t, and k is a negative constant determined by the nature of the material. An artifact is discovered at a

  4. chemistry

    If there are 80 milligrams of a radioactive element decays to 10 milligrams in 30 minutes then what is the elements half life in minutes? Ok i narrowed it down to either 10 or 30...but im rly confused so if u could help it wuld be

  1. 1 Physics Question

    Can someone tell me how to solve this? I’m having trouble with equations: “A sample contains 20 kg of radioactive material. The decay constant of the material is 0.179 per second. If the amount of time that has passed is 300

  2. chemistry

    A radioactive sample contains 2.45g of an isotope wiht a half life of 3.8 days. How much of the isotope in grams remains after 11.4 days? please explain

  3. Physical Science- Help Please!

    Suppose that you are given a 100 gram sample of a radioactive substance with a half-life of 32 days. How many grams will be left after 192 days?

  4. Science

    If 15% of the radioactive material decays in 5 days, what would be the percentage of amount of original material left after 25 days?

You can view more similar questions or ask a new question.