The number N(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0) = 200,and it is observed that N(1) = 400. Solve for N(t) if it is predicted that the limiting number of people in the community who will see the advertisement is 20,000. (Round all coefficients to four decimal places.)n(t) = ?

Answers

Answer 1

9514 1404 393

Answer:

  n(t) = 20,000/(1 +99e^(-0.7033t))

Step-by-step explanation:

One way to write the logistic function is ...

  n(t) = L/(1 +a·e^(-kt))

where L is the maximum value and parameters 'a' and k depend on boundary conditions.

Here, we have n(∞) = L = 20,000 and n(0) = L/(1+a) = 200. We also have n(1) = L/(1+a·e^-k) = 400.

Solving for 'a', we get ...

  n(0) = 20000/(1+a) = 200

  20000/200 -1 = a = 99

Solving for k, we get ...

  n(1) = 20000/(1 +99e^-k) = 400

  20000/400 -1 = 99e^-k = 49

  e^-k = 49/99

  k = -ln(49/99) ≈ 0.7033

So, the desired function is ...

  n(t) = 20000/(1 +99e^(-0.7033t))

The Number N(t) Of People In A Community Who Are Exposed To A Particular Advertisement Is Governed By

Related Questions

Given ΔMNO, find the measure of ∠MNO.
Triangle MNO with segment LM forming a straight angle with segment MO and segment OP forming a straight angle with segment MO, the measure of angle NOP is 104 degrees, and segment MN and NO are marked congruent.
28 degrees
38 degrees
52 degrees
76 degrees
I know the answer is 28 degrees , I just am not sure how to work out this problem .

Answers

Answer:10907

Step-by-step explanation 10907

Answer:

The answer is 28

Step-by-step explanation:

Hope this helps,

have a great day

The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.

Answers

Answer:

The best model is hypergeometric distribution.

Step-by-step explanation:

The probability would be best modeled with hypergeometric distribution.

Hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, which is often employed in random sampling for statistical quality control.

The hypergeometric distribution differs from the binomial distribution in the lack of replacements.

Thus, the best model is hypergeometric distribution.

Assume the random variable x is normally distributed with mean u=89 and standard deviation o=4. Find the indicated probability.

Answers

Answer:

4

Step-by-step explanation:

becouse is the rii asewei feel mw

Maya's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Maya's bank hold?

Answers

Answer:

1120

Step-by-step explanation:

what is the diameter of a circle of area 3850 m square​

Answers

Answer:

70.01

steps by-step explanation:

Determine the x-intercept of the line whose equation is given: Y = 4x + 2

a. (0, 2)
b. (-2, 0)
c. (0, - 1/2
d. (- 1/2, 0)​

Answers

Answer:

d

Step-by-step explanation:

Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 1/2 years.​

Answers

Answer:

$32

Step-by-step explanation:

Alan jogged 3.2 miles to school and then 2.2 after school each day for 5 days. Jennifer jogged a total of 45 miles. Who jogged the most and by how much?

Answers

Answer:

Jennifer jogged the most, by 18 miles

Step-by-step explanation:

Given

Alan:

[tex]To\ School = 3.2\ miles[/tex]

[tex]After\ School = 2.2\ miles[/tex]

[tex]Days = 5[/tex]

Jennifer:

[tex]Total= 45\ miles[/tex]

Required

Who jogged most?

First, we calculate the distance covered by Alan daily

[tex]Daily = To\ School + After\ School[/tex]

[tex]Daily = 3.2\ miles + 2.2\ miles[/tex]

[tex]Daily = 5.4\ miles[/tex]

Next, we calculate the distance covered in 5 days

[tex]Distance = 5.4\ miles * 5[/tex]

[tex]Distance = 27\ miles[/tex]

By comparison, Jennifer jogged the most because 45 > 27

And the difference is:

[tex]Difference = 45\ miles - 27\ miles[/tex]

[tex]Difference = 18\ miles.[/tex]

Maria and Jane set up a lemonade stand one summer to earn money for a trip to the beach. They noticed that the hotter the day, the more glasses of lemonade they sold. They mixed up the lemonade exactly the same way every day: the same amount of sugar, lemon juice, and water. They added ice to the glass when they poured the drink. They always used the same size glass. They decided to chart their sales in order to figure out how much lemonade to make each day, using the weather forecast as their guide. Identify the independent, dependent, and controlled variables in the girls' experimental data.

Answers

Answer:

When its hotter people loose water by sweating (de-hydrating) and they replenish their bodies with Lemonade. PLEASE MARK ME BRAINLIEST!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

What is the awnser please!! -5r + 6 < -5(r + 2)

Answers

Maybe the answer is “no solution” or “false”? If you try solving it, you end up with 6<-10 which is false for any value of x so yeah! Hope this helps! :)

What is 4/5 as a decimal and what is 4/5 as a percent representation

Answers

Pokslsjsjskakaisudhebebsis
As a decimal it’s .8 (divide 4 by 5) and as a percent is 80 ( multiple the .8 by 10)

Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.

Answers

Step-by-step explanation:

Angle ACB = Angle ZXY (given)

AB = XY (given)

CB = ZY (given)

Since they both display the SSA postulate, it does not guarantee that the triangles are congruent.

Answer:

No

Step-by-step explanation:

Given

Two sides and non-included angle of one triangle is congruent to same on another triangle

It doesn't match any congruency postulates and therefore is not enough to proof that the triangles are congruent

Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, the student's favorite math teacher}

a. Only A

b. Only B

c. Both A and B

d. Neither A nor B

Answers

Answer:

Situation B is a function.

Step-by-step explanation:

We know that,

A function is a relation in which every element in the domain i mapped to a unique element in the co-domain.

That is, every element in the domain must have a unique image.

So, we see that,

Situation A = {student's name, all the colors that the student likes}

Here, the students can have more than one color which they like.

Thus, this relation is not a function.

Situation B = {student's name, the student's favorite math teacher}

Here, the students can have only one favorite math teacher.

So, this relation is a function.

Answer:

D

Step-by-step explanation:

i)1-2(2x+1)=1-(x-1)
ii)3.6x-6.1=5.9_2.4x
question from equation and inequality​

Answers

Answer:

1)Solving the expression [tex]1-2(2x+1)=1-(x-1)[/tex] we get [tex]\mathbf{x=-\frac{1}{3}}[/tex]

2) solving the equation [tex]3.6x-6.1=5.9-2.4x[/tex] we get [tex]\mathbf{x=2}[/tex]

Step-by-step explanation:

We need to solve the expressions:

1) [tex]1-2(2x+1)=1-(x-1)\\[/tex]

Solving

[tex]1-2(2x+1)=1-(x-1)[/tex]

First solving the brackets

[tex]1-4x-2=1-x+1[/tex]

Simplifying

[tex]-1-4x=-x[/tex]

Adding 4x on both sides

[tex]-1-4x+4x=-x+4x\\-1=3x[/tex]

Switching the sides

[tex]3x=-1[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=-\frac{1}{3}\\x= -\frac{1}{3}[/tex]

So, Solving the expression [tex]1-2(2x+1)=1-(x-1)[/tex] we get [tex]\mathbf{x=-\frac{1}{3}}[/tex]

2) [tex]3.6x-6.1=5.9-2.4x[/tex]

Solving:

[tex]3.6x-6.1=5.9-2.4x[/tex]

Adding 6.1 on both sides

[tex]3.6x-6.1+6.1=5.9-2.4x+6.1\\3.6x=12-2.4x[/tex]

Adding 2.4x on both sides

[tex]3.6x+2.4x=12-2.4x+2.4x\\6x=12\\[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{12}{6}\\x=2[/tex]

So, solving the equation [tex]3.6x-6.1=5.9-2.4x[/tex] we get [tex]\mathbf{x=2}[/tex]

Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.

Answers

Answer:

32.55

Step-by-step explanation:

d = 32.552266

For:

(X1, Y1) = (-12.3, 15.1)

(X2, Y2) = (17.5, 2)

Distance Equation Solution:

d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√

d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√

d=888.04+171.61−−−−−−−−−−−−−√

d=1–√059.65

d=32.552266

could be confusing.

Divide. Give the Divide. Give the quotient and remainder.
254 divided 8

Quotient:

Remainder:

Answers

Step-by-step explanation:

254 = 8 * 30 + 8 * 1 + 6

= 8(30 + 1) + 6

= 8 * 31 + 6.

Hence the quotient is 31 and the remainder is 6.

Answer:

254/8=31.75

Step-by-step explanation:

The remainder of 254 divided by 8 is 6

ABCDE is aregular pentangon
X=?

Answers

Answer:

x = 5.2

Step-by-step explanation:

Measure of interior angle of a regular polygon = [tex]\frac{(n-2)\times180}{n}[/tex]

Here n = number of sides of the polygon

Interior angle of a regular pentagon = [tex]\frac{(5-2)\times180}{5}[/tex]

                                                            = 108°

By applying cosine rule in ΔABK,

(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°

(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°

x² + 6x + 9 = 16 + 36 - (-14.83)

x² + 6x = 57.83

x² + 6x - 57.83 = 0

x = [tex]\frac{-6\pm \sqrt{6^2-4(1)(-57.83)}}{2(1)}[/tex]

x = [tex]\frac{-6\pm16.35}{2}[/tex]

x ≈ -11.2, 5.2

Since, x can't be negative,

x = 5.2 will be the answer.

Identify whether each phrase is an expression, equation, or inequality​

Answers

Answer:

Top stays the same

Middle and bottom switch

Step-by-step explanation:

I need help. (5+5)/2

Answers

Answer:5

Step-by-step explanation:10/2=5

Answer: the answer is 5

Step-by-step explanation

Javier is considering two options for college.
Option A: Complete the first two years of schooling at a community college
and then transfer to a university.

Option B: Complete all four years of schooling at the university.
Community College Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$3,000
$1,000
Room & Board

$1,000


University Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$10,000
$15,000
Room & Board
Work-Study
$11,500
$4,000

Which statement about the cost of the options is true?
Option B will save him $1,000.
Option B will save him $2,000.
Option A will save him $14,000.
Option A will save him $17,500.

Answers

Answer:

A

Step-by-step explanation:

I got it right in Edginuity.

Answer:

A

Step-by-step explanation:

Solve the inequality for y.
y-5<-14

Answers

the answer is y=-9
negative 9 remember that

Move the constant to the right-hand side and change its sign and calculate
Y=-9 is the answer have a good day :)

Simplify to create an equivalent expression6(7-3y)+6(y+1)

Answers

Answer:

48-12y

Step-by-step explanation:

6(7-3y) + 6(y+1)

distribute the 6 on both parentheses

42-18y+6y+6

combine like terms

42-12y+6

combine like terms again

48-12y

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm

Step-by-step explanation:

This is the answer because:

1) The other two sides have to equal somethinng that is bigger than 13.

2) 5 cm + 8 cm = 13 cm, therefore, 5 cm and 8 cm is not the correct answer.

3) 6 cm + 7 cm = 13 cm, therefore, 6 cm and 7 cm is not the correct answer.

4) 7 cm + 2 cm = 9 cm, therefore, 7 cm and 2 cm is not the correct answer.

5) Finally, 8 cm + 9 cm = 17 cm, therefore, it is the correct answer since it has a bigger value than 13.

Hope this helps! :D

Answer:

8 and 9

Step-by-step explanation:

because

The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February the tables of values below represents temperatures as a function of time

Answers

Answer:

from 6:53 a.m. to 8:53 a.m.

Step-by-step explanation:

:)

Write an equation that passes through the points (0,-5) and (8,-5)

Answers

Answer:

Equation of the line: [tex]y = -5[/tex].

Step-by-step explanation:

Let [tex](x_0,\, y_0)[/tex] and [tex](x_1,\, y_1)[/tex] denote the coordinates of these two points, respectively.

Calculate the slope [tex]m[/tex] of this line:

[tex]\displaystyle m = \frac{y_1 - y_0}{x_1 - x_0} = \frac{(-5) - (-5)}{8 - 0} = 0[/tex].

Notice that the slope is zero because the two points have the same [tex]y[/tex]-coordinates ([tex]y_0 = y_1 = -5[/tex]) even though their [tex]x[/tex]-coordinates are distinct ([tex]x_0 \ne x_1[/tex].)

Equation for this line in point-slope form:

[tex]y - y_0 = m\, (x - x_0)[/tex].

[tex]y - (-5) = 0\, (x - 0)[/tex].

Rewrite and simplify to obtain the equation of this line in slope-intercept form:

[tex]y = -5[/tex].

The [tex]x[/tex]-term was eliminated because the slope was zero.

write a function for the table
please help I don't get it ​

Answers

Answer:

y=2(x-2.5)

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

Let us consider the points (- 2, - 9) & (0, - 5)

Equation of line in two point form is given as:

[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]

(y + 9)/(-9 +5) = (x + 2)/ (-2)

(y + 9)/(-4) = (x + 2)/(-2)

(y + 9)/(2) = (x + 2)/(1)

(y + 9) = 2(x + 2)

y + 9 = 2x + 4

y = 2x + 4 - 9

y = 2x - 5

This is the required function.

I GIVEEEEEE BRAINLILSTER

Answers

D , he will travel 54 miles

Answer:

D 54 I did this

Step-by-step explanation:

the standard ratio of a photo's width to it's length is 2/3. what is the length of a photo that has a width of 14 inches?

A. 9.3
B. 17
C. 20
D.21​

Answers

l: w

Equation

2/3 = 14/ x

Cross multiply

2xX = 14x3

2x = 42

Eliminate

2x/2 = 42/2

X = 21

Answer:

The answer is D.21.

Step-by-step explanation:

You have to divide 14 by 2/3 and you get 21.

PLZ mark me Brainliest!

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.

Answers

Answer:

B. rate of water flow.

Step-by-step explanation:

Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.

Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.

Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?

Answers

Answer:

5.5 hours

Step-by-step explanation:

Given that :

Speed of A = 60 kmphr

Speed of B = 80 kmphr

After what time will distance = 770 km

Speed * Time = Distance

Let time = x

Distance A + Distance B = 770

(60 * x) + (80 * x) = 770

60x + 80x = 770

140x = 770

x = 770 / 140

x = 5.5 hours

Other Questions
How are divergent boundaries between tectonic plates different from convergent boundaries?Hurry!! :( A population of deer inside a park has a carrying capacity of 200 and a growth rate of 3%. If the initial population is 80 deer, what is the population of deer at any given time? Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.A survey participant is randomly selected. Let F be the event that the participants first motor vehicle had four cylinders and let C be the event that the participants first motor vehicle was a car. What is the value of P(F or C)?A) 0.59B) 0.68C) 0.71D) 0.80 Ice cream costs $1.99 per container. At a tax rate of 4.75%, estimate the final cost of theice cream. Why dont peshawar and quetta have monsoon how many triplets of prime numbers (a, b, c,) where a greater than b greater than c, satisfy the equation a+b+c=32 how many kilometers will the pacific plate travel in 1 million years can u pls help me with this question asap How was Beveridges opinion of imperialism different from Jenningss? Beveridge believed that there was no room for imperialism in Asia. Jennings believed that imperialism was superior to love for ones neighbor. Beveridge believed that it was a religious obligation to support imperialism. Jennings believed that American ways should be spread by violence and force. Help! I will give brainliest!Write a positive or negative integer that represents the situation.A hiker climbs 900 feet up a mountain.The integer___represents the situation. What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches? 3.5.PS-9Question HelpThink About the Process Karen purchased a DVD player on sale. The original selling price was$179.30. The sale price was $153.02. What is the first step in finding the percent markdown? Findthe percent markdown. PLZ HELP ME!!!!!! I WILL GIVE THE BRANLIST!!!! The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods and services imported, less the goods and services exported. During the period 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion.Assuming this rate of growth continues, in what year will the GNP reach $10 trillion? a 2164 b 2103 c 2168 d 2153 A substance that dissolves another substance is a _____________________A. SolventB. Solute The Highland Scots of Darien and the Salzburgers fought against the malcontents who wished totake away land from other colonists.integrate Georgia and South Carolina.use Georgias farmland to grow rice.lift the ban Georgia had on slavery. TJ Maxx is offering a 20% discount on all items. Thenew price of a pair of jeans is $44. What was theoriginal price? Suppose 30% of the people in your town talk on their cell phones and drive at the same time. If you stood on a busy street corner and watched 50 people drive by, what is the standard deviation of the model you would use for the sample proportion you observe? The county fair is in town. The cost is $10 for admission and 50 cents for each ride.You have $20 to spend. Write an inequality that represents the maximum number ofrides you can go on. 60 POINTS PLS HELP I BEG YOU ASAP Steam Workshop Downloader