Designing exponential decay functions Devise an exponential decay function that fits the following data; then answer the accompanying questions. Be sure to identify the reference point (t = 0) and units of time. China’s population China’s one-child policy was implemented with a goal of reducing China’s population to 700 million by 2050 (from 1.2 billion in 2000). Suppose China’s population then declined at a rate of 0.5%/yr. Would this rate of decline be sufficient to meet the goal?

Q: Assume the revenue in the year 2000 was $ 800,000, and in the year 2002 it was $ 600,000. Assuming…

A: We will use exponential growth/decay formula to find expected revenue

Q: Greenium has a half-life of 23 years and decays following the Law of Exponential Change. After how…

A: Given: Greenium has a half-life of 23 years and decays following the Law of Exponential Change.…

Q: Use an annual growth rate of 1.1​% in a 10 year period for a certain population to find the…

A: Given Annual growth rate=1.1% Population in year 2000=6.0 billion

Q: a. In 2000, the population of a country was approximately 5.52 million and by 2097 it is projected…

A:

Q: Suppose a given set of data can be estimated by this exponential model: ? = 68 ∗ ?−0.13?. a) Rewrite…

A:

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a…

A: Given :-  Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: A population of ants is growing at a rate of 46% per year, they start with 245 ants in their colony.…

A:

Q: rite a program that reads from the user three pieces of information: The current population of a…

A: #Python code # Prompt user to get the valuecurrent_population = int(input("Please enter the current…

Q: A principal of $1000 is deposited in an account that pays 2.5% interest compounded yearly. Find the…

A: we will use the growing exponential model. y = a(1+r)t we have given principal amount P = $1000…

Q: Suppose a population grows at each of the following annual rates. Find the time it would take for…

A: Here, dxdt∝x [since increase in population speeds up with increase in population] and let x be the…

Q: If a population has an annual growth rate of r​ percent, then 70/r is a good estimate of the​…

A: Given if a population has an annual growth rate of r%, then 70r is good estimate of population…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: A sample of  bacteria selected from this population reached the size of  bacteria in one and a half…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.