Solve Exponential Models with Ease

High School
Algebra
Algebra II
Exponential models

$\frac{20 b}{{(4 b^{3})}^{3}}$

Kai Kerr 2023-03-01

What is 2 raised to the power 12?

sz1izgoby 2023-02-13

What Is the value of $e^{0} e^{1}$ ?

Bradyn Cherry 2023-01-02

What does the quotient rule of exponents say?

Jonas Bautista 2022-12-23

How to simplify ${(e^{3})}^{2} e^{2}$ ?

klepnin4wv 2022-12-18

Euler's formula to show $\cos t = \frac{e^{i t} + e^{- i t}}{2}$ ?

Dayanara Nash 2022-11-27

How can I find the roots of $x^{3} - 3 x + 1$ using Cardano's formula?
So far, I found that
$x = \sqrt[3]{\frac{- 1 + \sqrt{- 3}}{2}} + \sqrt[3]{\frac{- 1 - \sqrt{- 3}}{2}}$
$x = \sqrt[3]{\frac{- 1 + i \sqrt{3}}{2}} + \sqrt[3]{\frac{- 1 - i \sqrt{3}}{2}}$
$x = \sqrt[3]{\frac{- 1}{2} + \frac{i \sqrt{- 3}}{2}} + \sqrt[3]{\frac{- 1}{2} - \frac{i \sqrt{- 3}}{2}}$
I am now trying to express each cubic radicand in their exponential form.

Josiah Owens 2022-10-22

The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 40,000, what will the population be 4 years fromnow?

Neil Wiley 2022-02-12

The population of cancer cells in a tumour can be modelled with a logistic function given by:
n(t)=(Ne^(rt))/(e^(rt)+9)

The table below gives values of the function f and g and different values of x. Whatis f(g (1))?

x 1 2 3

f(x) 3 -6 2

g(x) 2 7 1

Kelly Nelson 2021-12-17

How to graph $y = 3^{- x}$

Ann Tice 2021-11-16

I need help with exponential functions. I know that the derivative of $e^{x}$ is $e^{x}$ , but wolfram alpha shows a different answer to my function below. If you, for example, take the derivative of $e^{- 2 x}$ do you get $- 2 e^{- 2 x}$ or $e^{- 2 x}$ ?

The following table shows the tuition for a semester at CBU in dollars for years since 1990.

Year CBU Tuition

2 3995

5 5000

8 6200

11 7450

14 8855

17 10420

20 12160

A scatter plot for the data and a graph of a linear model in black and a quadratic model in red follows.

3691215182140005000600070008000900010000110001200013000

Use the above scatter plot to decide which model better fits the data.

none

quadratic

linear

Let C(t)C(t) be the cost of tuition at CBU in dollars for t years since 1990.
A quadratic model for the data is
C(t)C(t) = .
Use three decimals in your answer.

Estimate the tuition in 2016. $

Use the model to predict the year in which the tuition will be $15325.

Year	CBU Tuition
2	3995
5	5000
8	6200
11	7450
14	8855
17	10420
20	12160

Ava-May Nelson 2021-09-25

The exponential models describe the population of the indicated country. A, in millions, t years after 2006. Which country has the greates growth rate? By what percentage is the population of that country increasing each year?
Country1: $A = 129.3 e^{0.001 t}$
Country 2: $A = 1096.9 e^{0.011 t}$
Country 3: $A = 28.7 e^{0.028 t}$
Country 3: $A = 147.9 e^{- 0.004 t}$

slaggingV 2021-09-25

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are.
$\begin{array}{ll} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 31.5 & 10.5 & 3.5 & 10.5 & 31.5 \\ g (x) & 0.2 & 0.6 & 1.8 & 5.4 & 10.8 \end{array}$

Marvin Mccormick 2021-09-25

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are.
f(x)=? g(x)=?
$\begin{array}{ll} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 1.125 & 2.25 & 4.5 & 9 & 18 \\ g (x) & 16 & 8 & 4 & 2 & 1 \end{array}$

texelaare 2021-09-23

When is the exponential population model appropriate? When is the logistic population model appropriate? When is an Allee model appropriate? Discuss the benets of each of these models and their drawbacks.

bobbie71G 2021-09-22

Find the exponential model $y = a e^{b x}$ that fits the points (0, 2) and (4, 3)

mattgondek4 2021-09-20

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Decide which, if any, are exponential, and give the exponential models for those that are.
$\begin{array}{cc} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 0.3 & 0.9 & 2.7 & 8.1 & 24.3 \\ g (x) & 3 & 1.5 & 0.75 & 0.375 & 0.1875 \end{array}$

Trent Carpenter 2021-09-19

The initial value of car is $24,000. After one year the value of the car is $19,3550. What exponential dunction models the expected value of the car? Estimate the value of the car after 4 years.

If you are looking for exponential models examples, you will find lots of various helpful solutions and answers to your questions regarding this inspiring aspect of Algebra 2. The solutions that you will see below will include word problems as well as these deal with anything from spoilage of food analysis to pathology tests taken at the hospital. These are also quite important during pandemic times as you will learn from equations and examples that are represented. Make sure to check your instructions against what has been already provided as it will help you to determine correct answers.

Algebra II

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