56. In 1990, the population of a small town was 2800. Each year since 1990, the population of thetown has increased by 6%. Determine the formula for a function P(t) that gives the population ofthe town years after 1990.

The general formula for population with initial population as P, rate of increase as k and t number…

Answered: 56. In 1990, the population of a small…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Solve questions on number 8 and number 9
An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula B(x)=0.8*. How much will today's dollar be worth in 2 years? Round to the nearest cent. O A. $1.74 OB. $0.96 OC. $1.60 OD. $0.64
Veterinarians use different medications to treat fleas in dogs. Once administered, the medication typically decays exponentially. One treatment decays by half each week. A dog receives 4 mL of medication and the function f gives the number of mL of medicine left after w weeks. 1. Find the amount of medication in the dog's bloodstream 1 week, 2 weeks, and 3 weeks after it is administered. 2. Write an expression to represent the amount of medication in its bloodstream 1 day after it is administered. 3. Explain what f () means in this context.
For each exercise, identify the error(s) in planning the solution or solving the problem. Th en write the correct solution
16. A graphing calculator was purchased for Po dollars in 2018. The value of the calculator P (in dollars) can be expressed as a function of t, the number of years since 2018. Write a formula for P if the value of the calculator decreases by 7% each year. (a) P(t) = Po(0.07) (b) P(t) = Po – (0.07) (c) P(t) = Po(0.93) (d) P(t) = Po(0.3) (e) P(t) = Po - (0.93)
Twin sisters, Nydea and Zakeya, decide to save for college. Both deposit $200 into 2 different savings accounts. Nydea's investment is modeled by the exponential equation A (t) = 200 (1.08)* where A (t) represents the amount of investment after t years. Zakeya's investment is represented by the table. What is the difference in the percent of increase at which the twins' investments grow? 3% 4% O 5% 3 4 Time (years) 0 1 2 Investment ($) 200 210 220.50 231.53 243.11 8%
Graph the function
Mama Bigbucks has a car that is worth $35,000, but it loses value each year. The equation f (1) = 35000(0.91)' represents how much the value of the car will be after t years. In how many years will the car be worth less than 20,000? 6. 5 7 4
3. Caroline puts S400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
In 1980, the population of a town was 2000 people. The exponential function P (t) =2000(1.05)t models the population of the town since 1980. Which statements are true regarding the town. Select three that apply.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

56. In 1990, the population of a small town was 2800. Each year since 1990, the population of the town has increased by 6%. Determine the formula for a function P(t) that gives the population of the town years after 1990.