The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by
P = 5.5e^kt,
where t is the year, with
t = 6
corresponding to 2006. In 2008, the population was 7000.

Find the value of k for the model. Round your result to four decimal places.

Use your model to predict the population in 2018. (Round your answer to the nearest person.)

Answers

Answer 1
Look it up on Google hope this helps :)
Answer 2

Answer:

k= 0.8936P = 53198890

Step-by-step explanation:

In 2008

t = 8P= 7000

As per equation, P = 5.5e^kt

7000 = 5.5e^(8k)e^(8k) = 7000/5.5e^(8k) = 1272.7272ln e^8k = ln 1272.72728k = 7.14891k= 7.14891/8k= 0.8936

In 2018, t= 18, k= 0.8936

P = 5.5e^(18*0.8936)P = 53198890

Related Questions

5. Which of the following is always true about
the graph of a horizontal line?
A. The graph will have a positive y-intercept.
B. The graph will have a negative y-intercept.
C. The slope of the graph will be undefined.
D. The slope of the graph will be zero.

Answers

Answer:

D. The slope of the graph will be zero.

Step-by-step explanation:

Slope of a line is given as [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

For a horizontal line, the rise is always equal to zero since the line doesn't rise vertically. This means, [tex] y_2 - y_1 = 0 [/tex].

No matter the value of the run, [tex] x_2 - x_1 [/tex], when we divide zero by the value of the run, we would always have 0.

Therefore, the slope of an horizontal line would always be zero.

The GCF of 15 and 27

Answers

answer : 3
the greatest common factor of 15 and 27 is 3

Gordon types 2,320 words in 29 minutes. Find the unit rate.

Answers

Answer: PLZ MARK BRAINLIEST

the answer is 80 words/minute

Step-by-step explanation:

Divide 2,320 by 29

Answer:

80 words per min

Step-by-step explanation:

which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2

Answers

Answer:

see below

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - 2 = 4(x- -1)

y - 2 = 4(x+1)

slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substituting the point in

2 = 4(-1)+b

2 = -4+b

6 =b

y = 4x+6

standard form

Ax +by = c  where A is a positive integer and b and c are integers

y = 4x+6

Subtract 4x from each side

-4x+y = 6

Multiply by -1

4x -y = 6

What are all of the possible classifications for a 3 × 3 system? Check all of the boxes that apply.

consistent and dependent

consistent and independent

inconsistent and dependent

inconsistent and independent

Answers

Answer:

consistent and dependent

consistent and independent

inconsistent and independent

Step-by-step explanation:

Answer:

1

2

4

Step-by-step explanation:

has nice day

I WILL GIVE BRIANLEIST PLZ SOLVE I WILL ALSO GIVE 800 robux slove for line ad BC = 6 cm

Answers

Answer:

20 to 25 cm. Hope this helps. Tell me if i'm right or wrong. Can I have brainliest if I am right?

Step-by-step explanation:

Answer:

20 to 25 cm give that robux boi

Step-by-step explanation:

can you please help me with this question ​

Answers

Answer:

[tex]3\frac{4}{7} *(-6\frac{4}{7}), -7\frac{1}{7} *(-2\frac{1}{4}), 5\frac{1}{7} *5\frac{1}{7}[/tex]

Step-by-step explanation:

Answer: (For the first One)

    1             1  

5  ---- .  5  -----

     7           7

36          36          1296                 22                  5          

-----  .    ------- =   ----------- =  26  ----------  =  2 ----------

7             7              49                  49                49

Step-by-step explanation:

First you want to change you mixed numbers into improper fractions. Once done so, cross multiply if possible. Then, multiply across. Last, simplify.

what 2-7/8 divided by 3/4

Answers

Answer is 72.66666667

I hope it is helpful for you....

PLEASE IM BEGGING YOU please answer i’ll do anything i need in 10 minutes please

Answers

Answer:

1.                           2.

   -3, 4                      -3,  2

   -1,  2                       0,  1

   0, 1                         3,  0

   4, -3                      6,  -1

Step-by-step explanation:


Can someone please help me

Answers

The solution would be C. Hope this helps :)

The average body temperature of all healthy adults is 98.6 F. A doctor takes a random sample of 100 healthy adults and records the temperature of each. The average temperature of these 100 adults is 98.2 F and the standard deviation is 6.9 F. Identify the values of the statistic and the parameter(s).

Answers

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

The parameter of interest is the average body temperature of all healthy adults, μ = 98.6°F.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The statistic is the average body temperature of 100 randoly selected healthy adults, [tex]\bar x=98.2^{o}F[/tex].

Students will be going to the zoo in a field trip entrance fee is $6.00 and you will be able to purchase drinks or food items for $2.00 each write an equation indicating the total cost of going to the zoo

Answers

Answer:

c = 6+2x

Step-by-step explanation:

c = total cost, 6 = entrance fee, 2x = 2 dollars per food/drink item

Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?

Answers

Answer:

He climed 3 steps before he started counting the steps.

Step-by-step explanation:

pls mark me as a branliest

Answer:

The answer is he climbed 44 steps. Hope this helped :D

Step-by-step explanation:

Which angles are adjacent angles to 3? Select all that apply

Answers

Two Answers: Angle 1, Angle 4

Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.

if you answer correctly ill give you brainiest!

Answers

Answer:

What is the question?

Step-by-step explanation:

Step-by-step explanation:

theres no question kikashi

An ant can travel at a constant speed of 780 inches every 5 minutes. How far can he travel in 9 minutes

Answers

Answer:

1404

Step-by-step explanation:

Cross-multiplication

50 POINTS PLS HELP!!!!

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?

A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C: A segment in the image has the same length as its corresponding segment in the pre-image.

D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Answers

Answer:

Answer choice C.

Step-by-step explanation:

inequality of -3x - 6 < 50

Answers

Answer:

0

Step-by-step explanation:

look it up on google :)

What is the place value of 3 of 652.4397. N Place Value: Select an answer Select an answer Get help: Vi tenths Points possible hundredths This is attemp Post this questhousandths ten thousandths Submit . hundred thousandths​

Answers

Answer:

100 thousandths

Step-by-step explanation:

What number is 45% less than 80?

Answers

Answer:

44

Step-by-step explanation:

Find 10% of 80 = 8

Multiply by 5.5 because 10-4.5

get = 44

Answer:

45% less than, or 45% of 80 would be 36.

Step-by-step explanation:

pls mark brainliest

Mr Mr Alam use 3/5 kg of flour to bake a cake use 1/2 kg less flour to bake some cookies how many kilograms of flour did he used to beat the cookies​

Answers

Given:

Flour used to bake a cake = [tex]\dfrac{3}{5}[/tex] kg

He use [tex]\dfrac{1}{2}[/tex] kg less flour to bake some cookies.

To find:

The quantity of flour he used to bake the cookies.

Solution:

Mr. Alam use  [tex]\dfrac{3}{5}[/tex] kg kg of flour to bake and cake and use [tex]\dfrac{1}{2}[/tex] kg less flour to bake some cookies.

Quantity of flour he used to bake the cookies is

[tex]\text{Required Flour}=\dfrac{3}{5}-\dfrac{1}{2}[/tex]

[tex]=\dfrac{6-5}{10}[/tex]

[tex]=\dfrac{1}{10}[/tex]

Therefore, he use [tex]\dfrac{1}{10}[/tex] kg flour to bake some cookies.

Jaylin has $50 in her fun account she deposit $ 10 per month into the account but $ 6 per month is deducted to pay for a streaming service

Answers

Answer:

16 per month

Step-by-step explanation:

you add the 10 and 6 together making it 16 total a month

please answer it I'll give all my points ​

Answers

Answer:

b=10

Step-by-step explanation:

you need to simplify it


Identify the graph of f(x)=10-10x2/x2

Answers

Answer:answer is an image

Answer:

B

Step-by-step explanation:

EDGE 2021

You can tell if the value of a function for a certain interval is positive just by 2 points looking at its graph. If the value is positive that part of the graph will:

a: be to the right of the y-axis
b: be above the x-axis
c: intersect the x-axis
d: be below the x-axis

Answers

it is b. above the x axis

Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.

Was she correct ? Or is there an error that can be corrected?

1.yes,she is correct

2.no, she should have set it up x/45 = 100/45

3.no,she should have set it up 45/x =75/100

Answers

The answer should be 60 if im correct.

help plz i need help

Answers

Answer:

it is 20 pairs count them 1 Collin and its 20

help :((
Provide a small explanation if possible!!

Answers

Answer:

r = 24

Step-by-step explanation:

Just reverse everything,

3 x 16 = 48,

48 ÷ 2 = 24,

to double-check,

if you plug in 24 for r then you have,

2(24)/3 = 16

48/3 = 16

16 = 16

how do you find the distance between two negative fractions

Answers

Answer:

Use the number line and split the whole numbers into fractions

Step-by-step explanation:

Example: If a number line goes from -10 all the way to +10, and you are trying to find the distance between -2 1/4 and -7 3/4. You would split the number line into fourths and then locate -7 3/4. You would then count up to -2 1/4 to get 4 3/4.

Hopefully this makes sense!

Compare the degree of a polynomial and its depressed polynomial.

Answers

Answer:

The degree of a polynomial is one more than the degree of its depressed polynomial.

Step-by-step explanation:

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