 # Exponential Growth & Decay Equations & Examples

Recent questions in Exponential growth and decay
Algebra IOpen question chemicars8 2022-09-01

## Annual sales for a clothing store are \$270,000 and are increasing at a rate of 7% per year. Find out how much money is made in 3 years. Use the formula $y=a\left(1+r{\right)}^{t}.$ orkesruim40 2022-08-04

## A population doubles in size every 15 years. assuming exponential growth, find thea) annual growth rateb) continuous growth rate Vorbeckenuc 2022-07-28

## City water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration C = C(t) of the chlorine in the tank t hours after flushing begins is given by the following formula. C = 0.2 + 2.79e-0.39t milligrams per gallon (a) What is the initial concentration of chlorine in the tank? mg/gal(b) Express the concentration of chlorine in the tank after 4 hours using functional notation. (c) Calculate the concentration of chlorine in the tank after 4 hours. (Round your answer to two decimal places.) mg/gal Jaida Richards2022-06-17

## Algebra IOpen question Jaida Richards2022-06-17

## Y=10^x

Algebra IOpen question Maykyllah Jane Rojo2022-03-23

## The population of a town increased by 2.54% per year from the beginning of 2000 to the beginning of 2010. The town's population at the beginning of 2000 was 74,860. mk14 2022-02-13

## Ms. Ragounath drove over a nail and the tire of her car started to leak air. If the car lost .4% of its air daily, when will her tire have three-quarters of its original air pressure which was 38 psi? Seamus Kent 2022-02-01

## Using the concept of exponential growth and exponential decay. Solve the given problem. 1. A small locality has a population of 52,365 in 2012. If its population increases 3% every 2 years, a. Derive a function P that determines the population t years after 2012. b. What is the expected population in 2020? Alvin Pugh 2022-02-01

## Give an example of an exponential function in the form $y=a×{b}^{x}$ that is neither an exponential growth function nor an exponential decay function. Explain your reasoning. Cameron Russell 2022-02-01

## Which characteristic of an exponential decay function does not belong with the other three? Explain your reasoning. base of 0.8 decay factor of 0.8 decay rate of 20% 80% decrease ndimiimpercea2 2022-02-01

## What is the asymptote of the graph of an exponential growth or exponential decay function? Explain your reasoning. spiderifilms6e 2022-02-01

## In 2011, the Population of China and India were approximately 1.34 and 1.19 billion people, respectively. However due to central control the annual population growth rate of China was 0.4% while the population of India was growing by 1.37% each year. if these growth rates remain constant. when will the population of India exceed that of China? Jayleen Sanders 2022-02-01

## Exponential Growth and Decay Exponential growth and decay problems follow the model given by the equation $A\left(t\right)=P{e}^{rt}$ -The model is a function of time t -A(t) is the amount we have ater time t -PIs the initial amount, because for t=0, notice how $A\left(0\right)=P{e}^{0×t}=P{e}^{0}=P$ -Tis the growth or decay rate. It is positive for growth and negative for decay Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay. population growth etc. So A(t) can represent any of these depending on the problem. Practice The growth of a certain bactenia population can be modeled by the function $A\left(t\right)=900{e}^{0.0534}$ where A(t) is the number of bacteria and t represents the time in minutes. What is the number of bactenia ater 15 minutes? (round to the nearest whole number of bacteria.) Anika Klein 2022-01-31

## How do we distinguish between exponential growth and exponential decay functions? blitzbabeiy 2022-01-31
## Determine whether each function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay $f\left(x\right)=12000{\left(\frac{7}{10}\right)}^{x}$ Octavio Miller 2022-01-31