7. A certain species of animal is endangered. Each year its population has been 86% of the previous year's population. The current population consists of 1572 animals. Suppose this trend continues. Which function represents the population with respect to time, t, in years? A f(t) = 1572 -(0.86)t B f(t) = 1572(0.86)* C f(e) = 1572(0.14) D f(t) = 1572 + (0.14)t

7. A certain species of animal is endangered. Each year its population has been 86% of the previous year's population. The current population consists of 1572 animals. Suppose this trend continues. Which function represents the population with respect to time, t, in years? A f(t) = 1572 -(0.86)t B f(t) = 1572(0.86)* C f(e) = 1572(0.14) D f(t) = 1572 + (0.14)t

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: A home is valued at $236,500 in 2012. In 2017, the home is worth $305,700. Assume the home's value…

A: Consider the following exponential function of value of the home: Vt=abt Where, Vt=Value of home…

Q: At the beginning of a population study, a city had 350,000 people.. Each year since, the population…

A: Given: At the beginning of a population study, a city had 350,000 people. Each year since, the…

Q: The Hershey Company is the largest US producer of chocolate. In 2017, annual net sales were 7.986…

A: Please see the below picture for detailed solution.

Q: A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed…

A: The objective of the question is to find the probabilities and mean of the lifetime of lightbulbs…

Q: A farm in Canada had 218 alpacas on January 1, 2004. After 8 years, the alpaca population decreases…

A: This question is based on exponential function.

Q: You are considered the first generation, your parents are considered the second generation, your…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

Q: Below is the graph of an exponential function,y=g(x). 400 y 300 (2,300) 200…

A: Let g(x)=ab^x

Q: An influencer posted a video on YouTube initially had 50 views as soon as it was posted. The total…

Q: . The population of a town reaches 113000. 7 years ago the population was 82000. Assuming that the…

Q: In 2002, a company sold 2,480 units. The company's accountant noticed a 5.2% continuous annual…

Q: Which function represents a decaying element that starts with 75% of its original quantity, with a…

A: Step 1:Step 2:Step 3:

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

7. A certain species of animal is endangered. Each year its population has been 86% of the previous year's
population. The current population consists of 1572 animals. Suppose this trend continues. Which function
represents the population with respect to time, t, in years?
A f(t) = 1572 -(0.86)t
B f(t) = 1572(0.86)*
C f(e) = 1572(0.14)
D f(t) = 1572+ (0.14)t

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

Answer

VIEW

Explanation

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

$Continuous Probability Distribution$

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

The numbers of polio cases in the world are shown in the table for various years. Year 1988 1992 1996 2000 2005 2007 Number of Polio Cases (thousands) 350 138 30 4 3.2 1.3 Let f(t) be the number of polio cases in thousands t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? (Exponential Find an equation of f. Hint f(t) coefficients to 4 decimal places. The number of polio cases is (decreasing per year. 25.77% Predict the number of polio cases in 2013. Hint Round the by Predict in which year there will be 1 case of polio. Hint years Find the approximate half-life of the number of polio cases. Hint
Q8. Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log(rent) = 0.03048 + 0.5 * log(pop) +0.673 log(avginc) + 0.0046 pctstu (.844) (.039) (.081) (.0028) i) State the null hypothesis that the percentage of students relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. What signs do you expect for B₁ and ₂ ? The equation estimated for 64 college towns is log(rent) = 0.03048 + 0.5 * log(pop) + 0.673 log(avginc) + 0.0045 pctstu (.844) (.039) (.081) (.0017) Standard errors are given in the parentheses. test the null hypothesis H_0 that "10% ceteris paribus increase in population is associated with about a 6.6% increase…
Which of the following tables was filled out using an exponential function? F(x) 1 O A 2 12 24 4 48 Y 4 OB. 10 4 13 Y OC. -2 3. -5 3 4. OD 7. 3. 12 4. 19 2. X123 2. 2.
Airborne concentrations of a pollutant follow a lognormal distribution. The pollutant has concentrations that exceed 1.5 ppm 33% of the time, and exceed 6.025 ppm 2.5% of the time. What fraction of the time is 13.934 ppm exceeded?
A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. 1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and X2 > 100 and • • • and X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)
A app.edulastic.com lever | Teacher.. Launch Meeting -. C Classes A 8 Advisory Michi. O Launch Meeting. E Edulastic: Format. Question 20/26 > NEXT A BOOKMARK A population of bacteria, B , can be modeled using the exponential function B (x) = 3 (2)" , where a is the number of days since th population was first observed. Which domain is most appropriate to use to determine the population over the course of the first weel- A00 15 tv MacBook Air 80 888 DII DD F1 F3 F4 F5 F6 F7 FB @ $ % & 1 2 3 4 8 Q W E R T Y S K
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
The population, P, of raccoons in a region is modelled by the exponential relation P = Po(2)*/20 , where t is the time in years and Po is the initial population. If there are 300 raccoons in the region today, approximately how many raccoons will there be in six years?
Q1: In what years were global temperatures the lowest? Q2: In what years were global temperatures the highest? Q3: What trend is apparent in this graph of actual global temperatures?
The logistic model P(t) = 96.0235 1+0.0455-0.1864t represents the percentage of households that do not own a personal computer t years since 1983. Complete parts (a)-(d). (a) Evaluate and interpret P(0). Evaluate P(0). P(0) = 91.8 % (Round to one decimal place as needed.) Which sentence below best describes P(0)? O A. P(0) is the year all households had a personal computer. O B. O C. O D. P(0) is the year no households had a personal computer. P(0) is the percentage of households with a personal computer in 1983. P(0) is the percentage of households without a personal computer in 1983. -C
Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light -kx P (in decimal form) at a depth of x meters is given by P=e, where k is a constant related to the clarity and other physical properties of the water. The graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.2- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Depth (m) Erie: P = e -0.1980 x The euphotic depth for the open ocean is The euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X