Find the associated exponential decay or growth model. (Round all coefficients to three significant digits.) Q = 3,000 when t = 0, doubling time = 7 Q =?

ossidianaZ 2020-12-12 Answered
Find the associated exponential decay or growth model. (Round all coefficients to three significant digits.) Q = 3,000 when t = 0, doubling time = 7 Q =?
You can still ask an expert for help

Want to know more about Exponential growth and decay?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Ayesha Gomez
Answered 2020-12-13 Author has 104 answers

It is given in the question that "doubling time". Thus, it will be exponential growth.
Express the mathematical form for the exponential growth model.
Q(t)=Q0ektHere, k is the ratio of ln2 to doubling time and Q0 is the Q at time equal to zero
Calculate the value of k.
k=ln2(doubling time)
=ln27
=0.099
Then,the associated exponential model is
Q(t)=3000e0.099t

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-01-17
In 1995 the population of a certain city was 34,000. Since then, the population has been growing at the rate of 4% per year.
a) Is this an example of linear or exponential growth?
b) Find a function f that computes the population x years after 1995?
c) Find the population in 2002
asked 2021-06-24

Tell whether each function represents exponential growth, exponential decay, or neither. Justify your responses.

x0246y1981729

asked 2020-11-08
Polynomial function graphs have similarities depending on their degree. Explain how you can determine the best regression model by using finite differences. Then determine the end behavior of the graph based on the degree of a function and information gathered from a data table.
asked 2021-02-05
The value of a home y (in thousands of dollars) can be approximated by the model, y=192(0.96)t where t is the number of years since 2010.
1. The model for the value of a home represents exponential _____. (Enter growth or decay in the blank.)
2. The annual percent increase or decrease in the value of the home is ______ %. (Enter the correct number in the blank.)
3. The value of the home will be approximately $161,000 in the year
asked 2022-01-31
How do we distinguish between exponential growth and exponential decay functions?
asked 2021-03-02
How can you tell whether an exponential model describes exponential growth or exponential decay?
asked 2021-05-01

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. Then graph the function. y=5x