The population of fruit flies in a lab was about 2.7 million in January 2020. On average, the growth rate per month for fruit flies was 1.020. a. Find a formula that gives the fruit fly population, F, in millions, as an exponential function of t. b. According to this model, when did the fruit fly population reach 3 million. (Round your answer to nearest month.) Explain your answer.

Q: A population of a region is observed to be changing exponentially. Initially, the population had…

A: Answer

Q: A consumer group in one city compares the costs of goods and services in that city over various…

A: Suppose, C(t) be the cost of goods before 1970. So, we have C(0)=100 & C(29)=42

Q: In a Science class experiment, the population of insects increases according to the law of…

A:

Q: Based on the scatterplot and computer output, a reasonable estimate for the stock price for week 95…

A: Given :  Constant = 2.0583 Coefficient of weeks = 0.0022

Q: Determine whether the given statement makes sense or does not make sense, and explain your…

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: Q4. L.T.: I can solve exponential decay equations. LaBrain buys a house for $246,800. The house…

A:

Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

A:

Q: An exponential function has a decay rate of 3%. State the decay factor.   In 1990, the cost of…

A: 1. Given : Decay rate, r=-3%=-0.03To find: Decay factor, aWe know:a=1+r  =1+-0.03  =0.97

Q: 33. On Monday, Sydney began monitoring the size of a bacteria colony. She noted that the mass of the…

A: The exponential mass function at time t is defined as, Mt=M0ekt Here, P0 is the initial size, k is…

Q: explain this.  How long will it take Dio who has an investment  of $200 at 4% interest compounded…

A: Given:

Q: Diseases tend to spread according to the exponential growth model. In the early day of AIDS, the…

A:

Q: solve the problem The plot best represents which type of growth?

A:

Q: The news media of a city announced an important story at noon. At this time, 8% of the population…

A: Step 1: Step 2: Step 3: Step 4:

Q: Utah, the land of milk and honey where math students have courage and freedom rings true, is one of…

A: Let r% be the growth rate of the population and n=0 for the year 2014 and initial population is…

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.