Question 2 The population P of a city grows exponentially according to the function P(t) = 8500(1.1)*, osts8 where t is measured in years. When, to the nearest year, will the population reach 15,000? A in 9.56 years (B in 6 years in 5.96 years D in 9 years

Question 2 The population P of a city grows exponentially according to the function P(t) = 8500(1.1)*, osts8 where t is measured in years. When, to the nearest year, will the population reach 15,000? A in 9.56 years (B in 6 years in 5.96 years D in 9 years

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...

See similar textbooks

Related questions

Q: the law of exponential 2. Suppose a population of insects increases according to growth. There were…

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3,…

A: Given that curve contain the point so that point will satisfy the given curve.

Q: On Question 11 Pictured below is a table of values that represents the graph of an exponential…

Q: As we saw in Section 5.5, a radioactive substance decays exponentially: The mass at time t is m(t) =…

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

Q: Question 6 Scientists measure a bacteria population and find that it is 6,000. Four days later, they…

Q: e count in a bacteria culture was 900 after 15 minutes and 1100 after 30 minutes. Assuming th unt…

A: Explanation and solutions is given below....

Q: Question #6 The area, in square meters, of a pond covered by an algae bloom decreases exponentially…

A: Given data:- Days 0 1 2 3 4 Area 150 ? 75 ? ?

Q: r nt Solv set ir 56) Use the compound interest formulas A -P1+ and A - Pert to solve. 43) Find the…

A: To find amount we use formula:

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: Given that the number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic…

Q: Question 1 in parts per million is an exponential function of time in hours. At time t the…

A: Here we are given A drug is introduced into a patient's blood stream. The concentration of the drug…

Q: A certain population is initially 5000 and declines by 8% per year. a) Find an exponential formula…

A: Given: Population is initially= 5000 declines by 8% per year.

Q: Question 2 Review A logarithmic function of base '3' has a vertical asymptote at the line x = 1. Its…

A: The graph should satisfy the two conditions given the problem. 1. It should form a vertical…

Q: QUESTION 15 Solve the problem. The size of the bear population at a national park increases at the…

Q: QUESTION 13 Find the natural logarithm of 262. Round your answer to 3 decimal places.

A: Rewrite the expression as shown below, ln262=ln2.62×102 =ln2.62+ln102 Recall the identity…

Q: Question 24 SPIRAL! Which situation models an exponential function? O A cell triping in size every 2…

A: The function in option (b) represents a linear function.

Q: Question #1: The value of a smartphone was initially $700. After 4 years, that same smartphone has a…

A: At t=0, V = $ 700 At t= 4 years, V = $ 315

Q: Question 9 of 10, Step 4 Growing linearly, the balance owed on your credit card triples from $800 to…

A: Given: fx=8001+0.13x ,where 'x' is no of months spent------------------------------Aim:To…

Q: QUESTION 19 Provide an appropriate response. True or False? An exponential function grows (or…

A: True

Q: QUESTION 5 After graduation, Emily opened a retirement account with a 7.25% APR (annual percentage…

A: Compound interest.

Q: C.A $9,000 inheritance is invested in a bond fund that earns 6% compounded continuously. How long…

A: For continuous compounding, A=Pert Here, P = $9,000, r = 6% = 0.06 and A = 3P = $27,000

Q: QUESTION 3 - Match the Exponential Function /3 Write an exponential function with the given…

Q: Question f money is invested in an account earning 3.15% annual interest that is compounded…

A: Given that a money invested in an account earnings 3.15% annual interest that is compounded…

Q: Question 8 Pictured below is a table of values that represents the graph of an exponential function,…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Question 12 A sample of 500 bacteria grows at a rate of 3% per hour, compounded continuously. After…

A: Given: The initial stage population growth of bacteria is 500.Growth rate is 3% per hour compounded…

Q: 0, a city had a population of 230,000 people. Each year since, the population has grown e the number…

Q: Question 3 y=x' is an example of an exponential function. O True O False

A: To write that statement is true or false

Q: Question 4 The number of people in a small baranggay grows exponentially. When the population was…

Q: The exponential equation describing the population at any time t with an initial population 4000 and…

A: P=P0(2)t/d d is the doubling time

Q: Question 7 In the year 2000, the United States had a population of about 281.4 million people; by…

A: Explanation of the answer is as follows

Q: Question 3 When we take medicine, the drug concentration leaves our blood sttream at an exponential…

Q: Question 29 Using laws of logarithms, express 1 x2 In x + 2 x + 1 in the form A In x + Bln(x+ 1) + C…

Q: Question 27 84 f(x) 6. 2- -8 -6 -4 -2 -2 -4 -6 -8 Select the end behavior of the exponential…

A: Explanation of the answer is as follows

Q: Extension Question 1: If the inside of the composition of the logarithm is quadratic, what portion…

Q: Question 009: Complete the following question involving the rules of exponential ex Given the…

A: Using logarithmic property: loga xn = n loga x ln xn = n ln x

Q: QUESTION 24 Provide an appropriate response. True or False? Exponential functions are useful for…

Q: Which of the two curves exhibits exponential growth?

A: Here Given the two graph

Q: Question 34 Write an equation for the transformed logarithm shown below, that passes through (-1,0)…

Q: Questions 10-13. A species of frog's population grows 24% every year. Suppose 100 frogs are released…

Q: Question 7 of 12 View Policies Current Attempt in Progress Solve for t using natural logarithms. Be…

Q: Question 6 (a) A survey is carried out on the population of foxes on an island. The number of foxes,…

Q: Question 1 A. If a population appears to be growing by the same number each year, we would say they…

A: Explanation:

Q: Question 9 The number of years a radio functions is exponentially distributed with parameter a =…

A: This is hand written solution.

Q: Question 6 (1 - Convert the exponential equation into a logarithmic equation and solve the…

A: Given exponential equation. 6^(-7x+2) = 5 We have convert the exponential equation into a…

Q: Question 3 In 1980, the population of Mexico was about 67.38 million. For the years 1980 through…

A: Please refer the attached image for complete solution.

Q: QUESTION 7• 1 POINT In 2001, the population of a district was 36,200. With a continuous annual…

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (2,…

A: Put value in given function

Q: Question 7 A bacteria population is growing exponentially with a growth factor of each hour. By what…

A: We have to find the growth factor by which population changes each half hour.

Q: Question 8. An exponentially growing quantity P is modelled by P = 5ekt If P = 79 at t = 1.10 then…

Question

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

Similar questions

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?
What type (s) of translation (s), if any, affect thedomain ofa logarithmic function?
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
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?
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?