4. In the year 2005, scientists released 50 rats onto an island to control giant insects. After studying the population for a few years, they determined that the rat population increases exponentially, according the the model f(t) = 50(1.22)'. What was the rat population 12 years after the study began? Round down to the nearest whole rat. O approximately 621 rats O approximately 565 rats O approximately 599 rats O approximately 543 rats PREVIOUS 4 of 5 NEX Li US enovo

4. In the year 2005, scientists released 50 rats onto an island to control giant insects. After studying the population for a few years, they determined that the rat population increases exponentially, according the the model f(t) = 50(1.22)'. What was the rat population 12 years after the study began? Round down to the nearest whole rat. O approximately 621 rats O approximately 565 rats O approximately 599 rats O approximately 543 rats PREVIOUS 4 of 5 NEX Li US enovo

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: 5. The Current Popuietion OF a tawn in 1o, 000. IF +he Population, Pe increases by 20% each year,…

Q: 2. A certain region had an initial rabbit population of 24, and the population is increasing at a…

Q: You are given the following Money Base (MO) data of the last six decades: 7.1 (70's); 7.2 (80's);…

A: ANSWER: To compare the one-step-ahead forecast of MO for 30 based on the autoregression model with…

Q: The logistic model P(t) = OA. ⒸU. FU/ i5 te pervemage vi fiusenvius without a personal computer in…

A: The given equation isWhere t is the number of years after 1986 and P is the percentage of households…

Q: Brand A light bulbs have exponential life times, with mean 1 year. Brand B light bulbs have…

A: We have given that Brand A light bulbs have exponential life times, with a mean of year. and Brand…

Q: The life of an electronic controller is distributed lognormally, with the parameters ?′ = 20 and ?′…

A: Given , the parameters μ = 20 and σ =10

Q: Answer the following questions based on the regression output: What is the expected value of the Log…

A: The regression output provides us with the coefficients for the variables in our regression…

Q: 10. In 2013, the population of a city was 715,000, with an annual growth rate of 0.013% a) Find a…

Q: If the population starts with 20,000 this year, approximately how many indiviuals will there be next…

A: * SOLUTION :- Given that,

Q: The table below shows the population of the state of New York for several decades starting in 1800.…

Q: Suppose the probability π(x) of failing a course as a function of time x spent per week studying…

Q: Yearly log production in units was regressed against time where t = 1 in 2015. Thi resulted in the…

Q: 4. A manufacturing plant produces memory chips to be used in cardiac pacemakers. The manufacturing…

A: A mix of good chips and bad chips are produced in the manufacturing plant.The good chips' lifetime…

Q: 55. For the population r = 0.8, p0 = 0.32, (a) find the values of p1 through p10. (b) what does the…

A: From the given information, it is clear that value of r=0.8, and P0=0.32 Under the logistic…

Q: Given the estimated model In(food-expenditure)=D0.8+0.7 In(income)+0.02 In(price_non food)+0.19…

A: The estimated model based on the independent and dependent variable, which used to predict how the…

Q: 1.) (Sections 4.1 & 4.2) A virus is spreading through a population, with 8% more people actively…

A: topic - exponential function

Q: d) Time series value or Y(Sales) Forec

A: Period Sales (At)14214374105156127To calculate: Simple Exponential Smoothing (SES) forecast with an…

Q: .9 A student invested $10,000 in SP500 index now (in 2021). His colleague made the same investment…

Q: The coefficients are given by ln w = 11.7 + 0.05school ln w = 11.4 + 0.10school women men 1. Do…

A: This question examines the extent to which the difference in earnings between men and women can be…

Q: Suppose that 80 moose were introduced into a wildlife refuge in 2016. By 2020, the population had…

Q: 120 World Solar Electricity Generation y=0.745e0.371t R² = 0.967 100 08 80 60 60 Solar Electricty…

A: The scatter plot, together with the curve of best fit, is shown below:The given fitted exponential…

Q: The following table shows world population N, in billions, in the given year. According to the…

A: Given: The logistic model is given by, N=10.901+2.23e-0.030t ... (1)

Q: drug accumulátión in the Lexapro is an antidepressant that affects the levels of certain chemicals…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: having

A: We will find the half life.

Q: Assume that the population of a town can be modeled by the logistic equation dP/dt = kP(1000 - P).…

Q: (c) Assuming that tm is correct, calculate a revised estimate for t, to make the mathematical model…

A: Answer for question c: Given that the population of e.coli bacteria grows exponentially with time.…

Q: Exercise 9. Suppose that the lifespan (in years) of a water heater is modeled as Y~ Expon(mean %D…

A: Exponential model is memory less model so what happened in the past does not matter

Q: (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were…

A: Given the sales modely=Cektwhere y represents the sales per month in a given month tIt is also given…

Q: a= 634.581 b= 1.073 Use the model to predict the number of individuals infected with the disease…

A: As per the Bartelby guidelines only one Question with all subparts can be answered. Kindly,…

Concept explainers

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.

Question

4. In the year 2005, scientists released 50 rats onto an island to control giant insects,
After studying the population for a few years, they determined that the rat population increases exponentially, according the the model f(t) = 50(1.22).
What was the rat population 12 years after the study began? Round down to the nearest whole rat.
O approximately 621 rats
approximately 565 rats
approximately 599 rats
approximately 543 rats
PREVIOUS
4 of 5
NEXT
Lir
US
enovo
71

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Q.4. with A-50, a=10. What is the probability of the precipitation to remain in the range of 45 and Annual depth of precipitation X (cm) is assumed to be lognormally distributed 62 cm? Str
Q2. You collected 500 weeks of data (2500 days total). Based on that you find Tuesday's mean return is 12 bps. Mean return of all days is 2 bps. Stdev across all days is 100 bps. There is no noticeable difference b/w Tuesday stdev vs other weekdays' stdev. Based on q1c find D Q1c. what is the mean log return and stdev of log return over one year period and four year period (assuming 252 trading days per year)? Q1d. based on Q1c what is the probably of losing money (negative log return) or doubling your money (total log return = ln(2)) over 1 year and 4 year period?
Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015. D +|+|||||||||||||||| ► Ebola Cases in West Africa E = A logistic fit for these data is given by 27,841.42 1 + 134.65-0.646 where t is the time in months since April 1, 2014. Below, we have added the graph of this model. +-+|||||||||||||||||| ► Logistic Graph Added (a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015? Because the data points appear to be [leveling off ✔✔✔, they show a health crisis that is under control (b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number. 27021.61 x cases (c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after…
Help me solve this Q please
10. You use the following four candidate models to fit a dataset with 300 observations. All parameters are estimated from the data. Model LogLikelihood SBC AIC Exponential Weibull -747 -753.704 Pareto -751 Gamma -747
2. Below are three exponential equations. Create a situation/context that could model each of the equations. a) y = 450('/2)* b) N(t) = 7100(3) () c) 75 = 4
One of the possible models for the coronavirus is the logistic curve, shown here without scale. This curve shows the total number of cases of people infected with the virus. The rate of change for this curve is the number of ca es per day. 1. On the curve, mark the point at which the number of cases per day is greatest. What is a mathematical term for this point? 2. One of the criteria for re-opening activities is fourteen consecutive da s with a decreasing number of cases. Where is this on the curve? Number of Infected people as a function of time