One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90, which decays exponentially at a rate of approximately 2.4% per year. (a) Write the percent of strontium-90 remaining, P, as a function of years, t, since the nuclear accident. [Hint: 100% of the contaminant remains at t = 0.] P(t) = (b) Estimate the half-life of strontium-90. NOTE: Round your answer to the nearest integer. The half-life of strontium-90 is (c) After the Chernobyl disaster, it was predicted that the region would not be safe for human habitation for 100 years. Estimate the percent of original strontium-90 remaining at this time. NOTE: Round your answer to the nearest integer. There is about of original strontium-90 remaining at this time. years. %

Q: A population of bacteria growing exponentially can be modeled as P(t)= Pue, where t is the time in…

A:

Q: Recall, the continuous exponential growth or decay model is A(t)=A0ekt, where A0=A(0) is the initial…

A:

Q: (d) At what time will there be 16 grams of substance Br years (e) of which substance is there less…

A: B(t) = 16

Q: A population is growing exponentially and is modelled by p(t) = 92.1 At what time will the…

A: Given query is to find the time when population is 200.

Q: (a) Find its decay constant, k, within the exponential decay model Q(t) = Qoe-kt, i.e. k> 0 here.…

A: We need to find decay constant and the time when tritium is 25% of it's original size.

Q: he change to a villages population over time can be represented using an exponential decay function.…

A: We need to determine the value of P0, r using the data provided. Then we need to calculate the value…

Q: The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019…

A:

Q: dy 1. [30 points] Find dr I+2T (a) y = (b) y= r' sec(r) (c) y = arctan(4.r)

A: This question is about application of derivative

Q: a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their…

A: Given: A(t)=A0(0.93)t A0=100%

Q: A national census bureau predicts that a certain population will increase from 31.5 million in 2000…

A:

Q: 3. During an economic recession, a firm decides to decrease its output, y, at a constant relative…

A: Let the annual percent rate of decrease in the firm’s output to achieve this target be r.

Q: An ecosystem with mature trees has a relatively constant population of beetles (species 1) - around…

A: Option (d) is correct answer..... For detail...go through the answer...I have solved step by step in…

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…

A: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…

Q: (a) Write the population of Nevada in the form N = Noat, where N is the population of Nevada in…

A: Given  Population in 2010 = 2.7 million  Population in 2018 = 3.0 million    We need to write the…

Q: A. Show the value of P0 is 12,000 and hence, state the equation for P(t)  B. Show that the value of…

A: This is a problem of dynamic system.