The population of New York state can be modeled by:

P(t) = 19.71/(1+61.22e^(-0.03513t))

Where P is the population in millions and t is the number of years since 1800. What is New York's maximum sustainable population?

Answers

Answer 1

Answer:

The answer is "19.71 million".

Step-by-step explanation:

[tex]\to P(t) = \frac{19.71}{1+61.22 e^{(-0.03513t)}}[/tex]

where

[tex]\to p= \text{population in million} \\\\\to t= \text{time in years}\\[/tex]

when t is increases, then [tex]61.22 \ e^{-0.035 t}=\frac{61.22}{e^{0.035t}}[/tex] when decrease so that p(t) continually grows in size to reach the optimum population which you find if t is quite high [tex]t \to \infty[/tex]

[tex]\to P_{max} = \lim_{ \ t \to \infty} \frac{19.71}{1+61.22 e^{(-0.03513t)}}[/tex]

[tex]when \ t \to \infty \ , 0.035 t \to \infty \ , e^{(0.03513t)} \to e^{\infty} \to \infty\ \ e^{\frac{1}{0.035t} = \ e^{-0.035t}} \to 0[/tex]

           [tex]= \frac{19.71}{1+0}\\\\= \frac{19.71}{1}\\\\ = 19.71 \ million[/tex]


Related Questions

Зp + 2р – р

Please helppp haha

Answers

Answer:

4p

Step-by-step explanation:

3p + 2p = 5p

5p - p = 4p

Answer:

4p

Step-by-step explanation:

i want branliest please

Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

the third one

Step-by-step explanation:

x+2<-5

x<-5-2

x<-7

ANWSER: X | x R, x -7

Step by step explanation;

x+2<-5

Subtract 2 from both sides

X+2-2 < -5 -2

Simplify

X < -7

I’m pretty sure

Jill weighs 15 lbs. Less than Ken. Pete weighs 50 lbs. More than Jill. Eddie weighs 18 lbs. Less than Pete. How much does each weight, if the sum of their weights is 597?

Answers

Answer:

Jill  = 125lb

Pete = 175lb

Eddie = 157lb

Ken = 140lb

Step-by-step explanation:

Given

Represent Jill with J; Ken with K; Pete with P and Eddie with E

[tex]J = K - 15[/tex]

[tex]P = 50 +J[/tex]

[tex]E = P - 18[/tex]

[tex]J + K + P + E = 597[/tex]

Required

Determine the weight of each

Substitute 50 + J for P in [tex]E = P - 18[/tex]

[tex]E = 50 + J - 18[/tex]

[tex]E = J + 50 - 18[/tex]

[tex]E = J + 32[/tex]

Make K the subject in [tex]J = K - 15[/tex]

[tex]K = J + 15[/tex]

Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]

[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]

Collect Like Terms

[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]

[tex]4J = 500[/tex]

[tex]J = 500/4[/tex]

[tex]J = 125lb[/tex]

Substitute 125 for J in [tex]P = 50 +J[/tex]

[tex]P = 50 + 125[/tex]

[tex]P = 175lb[/tex]

Substitute 175 for P in [tex]E = P - 18[/tex]

[tex]E = 175 - 18[/tex]

[tex]E = 157[/tex]

Substitute 125 for J in [tex]K = J + 15[/tex]

[tex]K = 125 + 15[/tex]

[tex]K = 140[/tex]

Plssssssssssssss help meeeeeeee

Answers

Answer: $10

Step-by-step explanation:

So she's spending the money:

150.55 - 45.76 = 104.79

104.79 - 35.00 = 69.79

69.79 - 79.82 = -10.03

After she adds the 20.03 into her bank account, she now has $10

If −7∘C denotes a temperature of 7∘C below 0∘C, what does 5∘C mean
Can some pls sey someting

Answers

Answer:

123

Step-by-step explanation:

Answer:

temperature of 5° C above 0° C

Step-by-step explanation:

PLease help please i need helo on this

Answers

I=315
IIII
III
II
I
II
III
IIII

Triangle DEF and triangle PQR are similar and have the same orientation. The hypotenuse of triangle PQR is on the same line as the hypotenuse of triangle DEF and is one-third the length of DF.What is the equation of the line that the hypotenuse of triangle PQR lies on? Y = x + On the hypotenuse of triangle PQR, if coordinate P is at point (2, -4), then coordinate R is at point ( , ).

Answers

Answer:

y= -2x and (3,-6)

Step-by-step explanation:

h

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

how does energy from the sun travel to earth ?​

Answers

Answer:

the heat.. energy is heat and when its hot outside thats the energy from the sun

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

15s-100=350 what is the value of s

Answers

Answer:

30

Step-by-step explanation:

15s-100=350

15s=350+100

15s=450

s=450/15

s=30

are behind on your classes?

Answers

yes. how'd you knowwww?

Answer:

no

Step-by-step explanation:

Find the difference: 5.68 -
- 2.15 - (-1.34) = *

Answers

Answer:

THE ANSWER FOR THIS QUESTION IS 9.17

the answer to this question is: 4.87

Here are the ingredients needed to make 20 cookies.
Cookies
Ingredients to make 20 cookies.
250 g butter
120 g caster sugar
300 g flour
Sam is going to make some cookies.
She has these ingredients.
625 g butter 360 g caster sugar 1000 g flour
Work out the greatest number of cookies that Sam can make with her ingredients.
You must show your working.

Answers

Answer:

50

Step-by-step explanation:

because 250 g = 20 cookies

500g = 40 cookies

625 = 50 cookies

120 g = 20 cookies

240 g = 40 cookies

360 g = 60 cookies

but you only able to make 50 from butter so the answer is 50

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

How many solutions does the following equation have ?
- 32 +9 – 2x = -12 – 5x
Choose 1 answer:
No solutions
B
Exactly one solution
С
Infinitely many solutions

Answers

Answer:Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

[tex]\frac{3x}{3}[/tex] = [tex]\frac{11}{3}[/tex]

9.Simplify and Solution

x= [tex]\frac{11}{3}[/tex]

ILL MARK U BRAINLIEST
A recipe says to use 6 cups of flour to make 36 Crazy Cupcakes. What is the constant of proportionality that relates the number of cupcakes made, y, to the number of cups of flour used, x?

a. 6
b.1.5
c.12
d. 36

Answers

Answer: the answer is

this would be c 12 because it is the proper proportionality that relates to the number of cupcakes

plz brainiest

Jenna wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She right and solve the equation

Answers

Answer:

I mean I don't fully understand this bc the question doesn't fully make sense but she should use 15.5 feet of fencing on each side. Hope that helps

Step-by-step explanation:

Im stuck on this question i need help

Answers

Answer: 1/4 and thats 25%

PLEASE HELP

What is 2/3 of 15% of $2,000?
F. $100
G. $200
H. $300
J. $450
K. $500

Answers

Answer:

$200 dollars my friend.

Step-by-step explanation:

Hope I helped!

The solution is Option G.

The value of the equation A = ( 2/3 ) x 15% x $ 2000 = $ 200

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 2/3 ) x 15% x 2000   be equation (1)

On simplifying the equation , we get

A = ( 2/3 ) x ( 15/100 ) x 2000

A = ( 2/3 ) x ( 15 ) x ( 20 )

On further simplification , we get

A = ( 2/3 ) x 300

A = 2 x 100

A = $ 200

Therefore , the value of A is $ 200

Hence , the equation is A = $ 200

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.

Answers

It is 10.2 centimeters so option A :)

Answer:

Option A and Option C

Step-by-step explanation:

If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....

12 - 12(0.15) = 10.2 cm

or

12 + 12(0.15) = 13.8cm

So from this, we see that the answers are Option A and Option C  

write the in independent variable and the dependent and an equation pls help I will cash app you 20$

1) To fix a car, Fix-it Auto charges a base fee of $20 plus $40 per hour.


2) The cost of a banquet at Jean’s Banquet Hall is $450 for the rental of the hall and $15 per guest.


3) An author earns a royalty of $1.25 for each book sold.


4) Marie has $500 in her bank account. Each week she plans to deposit $20.


5) Paul has $1500 in his bank account. Each week he withdraws $100.


6) The cost to cut a lawn is a flat fee of $5 plus $6.50 per hour.


7) The charge to walk a dog is $10/hour.


8) Hans Building supplies sells sand for $19/ton plus $25 for delivery.

Answers

Answer:

12345678910

Step-by-step explanat

Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2)

Answers

Answer:

Step-by-step explanation:

3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)

as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm

I'm guessing that it is...  soooo distribute the minus sign

= 3a^4 - 2a^2 +5a -10  -2a^4 -4a^2 -5a +2

= a^4 -6a^2 -8   :)  voila that's your answer

Help plz:):):):):)):):):):):)

Answers

Answer:

The answer is 60%

Step-by-step explanation:

12+8 = 20

12/20 = 0.6

WHO KNOWS THIS IF YOU KNOW YOU WILL EARNT 100+

Answers

Answer: Mom bought 10 chickens

Step-by-step explanation: if each chicken had 2 wings and there were 20 wings you divide

Answer:

3. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

1.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

2. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

What cell generates energy for all the other cells (it’s for science but it doesn’t show science as a subject so yes)

Answers

lol, that would be biology

but I'd say its the mitochondria

Complete the equation for the horizontal line that passes through (5.-7).

Answers

Answer:

it would be y= -7

Step-by-step explanation:

please explain how to get the answer to this. ​

Answers

Answer:

65°

Step-by-step explanation:

They are corresponding angles if M and N are parallel

Answer:

m∠b = 65°

Step-by-step explanation:

∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.

how many minutes of practice does one picture represent
I-ready
I REALLY NEED HELP i will give you brainlyiest plsss help

Answers

Answer:

where is the picture i can answer it if u put the picture

Step-by-step explanation:

Can u add a image? I can't help if I can't see the question.

what is the domain of this function? 
x
2
5
8
11
14
17
20
y
1
3
7
13
21
31
43
answer soon please ty!!!

Answers

Answer:

no real numbers

Step-by-step explanation:

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