Suppose that a certain town has an initial population of 500 people and that it is growing by a constant 2% each year. Then this town is exhibiting what type of growth (if any)? a. No growth at all b. Exponential growth c. Logarithmic growth d. Linear growth

Suppose that a certain town has an initial population of 500 people and that it is growing by a constant 2% each year. Then this town is exhibiting what type of growth (if any)? a. No growth at all b. Exponential growth c. Logarithmic growth d. Linear growth

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.CR: Chapter Review

Problem 12CC

See similar textbooks

Related questions

Q: If you make an investment of $2,000 and the interest is compounded continuously at 3%, approximately…

A: There are multiple question. As per company policy ask other question separately. Formula for…

Q: Given the exponential growth function f(x) = 78(1.0145)* What is the initial value of the function?

Q: A population of bacteria growing exponentially can be modeled as P(t)= Pue, where t is the time in…

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: The exponential function of t is given below: A=A0e-ktWhere, k=rate, t=time

Q: Suppose that the income stream of a business is 12000e0.02t dollars per year for 10 years. At an…

A: Given ft=12000e0.02t rate = r = 4%=0.04

Q: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

Q: Suppose a population of honey bees in Ephraim, UT has an initial population of 3600 and 12 years…

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: To find growth rate of the virus.

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We know that P(t)=N0λt Given P(0)=N0=593P'(t)=N0λtln(λ)P'(0)=N0λ0*ln(λ) =593*ln(λ)

Q: How long will it take for an investment to triple, if interest is compounded continuously at 7%?…

A: We can find the answer as below.

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: The bacteria population in a certain culture grows exponentially. (a) If the 30-minute growth factor…

A: a) We know that 1 hour= 60 minutes. Given that the 30-minute growth factor is = a So, one-hour…

Q: Suppose y = ceka is an exponential function that has the points (0.3,5) and (12.9,18.7) on its…

Q: 18. Suppose $7,800 is invested in an account at an annual interest rate of 4.3% compounded…

Q: Suppose that a chemical reaction proceeds according to the law of growth and decay. If half the…

Q: (3) Suppose an experiment was conducted to identify the exponential growth model of a species of…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A: Since, the number of cases increasing according to cumulative rate so we will use the formula of…

Q: In the exponential growth or decay function, explain the circumstances that cause k to be positive…

A: One of the most prevalent applications of exponential functions involves growth and decay models.…

Q: Find the exponential growth equation for a population that doubles in size every unit of time and…

A: Given: At time, t=0, No. of individuals=20.

Q: Suppose the population of a college is 9,000 students on Jan. 1, 2000, and 20,000students by Jan 1,…

A: Given data is . Population of students in college in jan. 1, 2000 A0=9000 Population of students in…

Q: Suppose that f is an exponential function with percentage growth rate 3% and that f(0)=4. Find a…

A: Solution of the problem as

Q: Suppose the population of certain fungi in a laboratory sample is 12. (A) If it quintuples in…

Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

Q: 42. Suppose an investment account is opened with an initial deposit of $12, 000 earning 7.2%…

A: We can solve only very first question as per the honor policy. Please resubmit the other question as…

Q: Suppose a population of elk in a certain ecosystem is following a logistic growth model, where the…

Q: 42. Suppose an investment account is opened with an initial deposit of $12,000 earning 7.2% interest…

Q: Suppose that in 2020 the population of a certain country is 2 million and increasing with a relative…

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: We will apply exponential growth formula to solve this question

Q: 11 The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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

A: Given:

Q: The population of a southern city is growing according to the exponential law. (a) If N is the…

A: Given: The population of a southern city is growing according to the exponential law. To find: (a)…

Q: Suppose that you want to have a $50,000 retirement fund after 40 years. How much will you need to…

A: Given query is to find the investment amount so that can give $50000 after 40 years.

Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

Q: Suppose that f is an exponential function with percentage decay rate of 2% and that f(0)=3. Find a…

Q: According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to…

Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A: The formula for continuously compounded interest is, A=Pert where P is the principal amount, r is…

Q: Suppose that all car owners fill when their tanks are exactly half full. At the present time, an…

A: Given that (1) The number of customers per hour arrive at a single pump gas station λ=7.5 the time…

Q: Suppose that a donor wishes to provide a cash gift to a hospital that will generate a continuous…

A: Given:- From the question , the annual rate of flow of the continuous income stream per year is ft=$…

Q: The exponential growth models, A = 33.1e0.009t (Canada) and A = 28.2e0.034t (Uganda) describe the…

A: Determine whether the statement "The models indicate that in 2013, Uganda’s population will exceed…

Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Given A0=5000t=6 weeksA=7500 Find a and b parts

Q: The order of the growth rate of the following pair of functions are equals? a 5 log (n+ 100) b. n2

A: Concept used: The order of the growth rate in increasing order is logarithmic function Polynomial…

Q: A species is considered to be endangered if it is expected to be extinct within 20 years. A…

Q: Which of the following display exponential growth? Select all that apply. OP= 750(0.995)*…

Q: Suppose a rumor is going around a group of 194 people. Initially, only 31 members of the group have…

A: The differential equation is dPdt=kPC-P. Separate the variables: dPPC-P=kdtdPCP+dPCC-P=kdt…

Q: How long will it take for an investment to triple, if interest is compounded continuously at 6%? It…

A: Given

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

Q: 17) Consider the exponential function f(x) = 9e0.043t. %3D Is the function growing or decaying? What…

A: Topic:- function

Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

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

13. Suppose that a certain town has an initial population of 500 people and that it is
growing by a constant 2% each year. Then this town is exhibiting what type of
growth (if any)?
a. No growth at all
b. Exponential growth
c. Logarithmic growth
d. Linear growth

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

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, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?