If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)

Answers

Answer 1

Answer:

126807 people

Step-by-step explanation:

Given;

P= Poe^ht

Where;

P= population at time t

Po= population at the beginning

h= growth constant

t= time

1998- 2008 is ten years.

110429= 100,000e^10h

1.1 = e^10h

ln(1.1) = lne^10h

0.095 = 10h

h= 0.0095

In 2023, t = 25 years

P= 100,000e^(0.0095 × 25)

P= 126807 people


Related Questions

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Answers

Step-by-step explanation:

[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]

[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]

find a number such that five more than one half the number is three times the number​

Answers

Answer:

0.5

Step-by-step explanation:

Choices would be
x = -0.4

x = 10

x = 2

X = -10

Answers

Answer:

The first one is

The second one is -

The third one is -.

The last one is

Step-by-step explanation:

ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy                

Thank you so much and have a good day

Identify the GCF of 36 and 24
6
12
2
8

Answers

Answer:

12...you already figured it out but alr

Step-by-step explanation:


If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?

Answers

Step-by-step explanation:

Given: Radius , r =21 cm

The angle at the center of the circle, n° =140°

Length of an arc =?

W.K.T Formula, Length of an arc = 2πr( n°÷360°) units

= 2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Answer:

2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Step-by-step explanation:

explain how to evaluate f(g(0)).

Answers

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?

Answers

Answer: 6, 21, 3

Step-by-step explanation:

2:7:1

Also, 2x 7x and 1x or just x

2x+7x+x = 30

10x = 30

x=3

So the three numbers: 2(3):7(3):1(3) OR 6:21:3

How many solutions does the system have?

Pig Race

Time (seconds)
O zero
O one
O two
O infinite

Answers

Answer:

Step-by-step explanation:

I think it's 2

uhh i think the other person was correct (2)

Which pair shows equivalent expressions?

Help quick please!

Answers

Answer:

i think A

Step-by-step explanation:

Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?

Answers

Answer:

the answer is b

Step-by-step explanation:

because p is at (6,4) and its moving to the left so the y wont change but the x will so subtract 10 units from 6 and you get -4.

What is the domain of the relation shown?
will mark as branliest

Answers

Answer:

2 or 4

Step-by-step explanation:

Solve the problem.

A used car is for sale for $8,950. If Jenny will pay for the car over a 5-year period, what will be her monthly payment, to the nearest dollar?

$149/month
$3,729/month
$1,790/month
$60/month

Answers

Answer:

60 months = $8950

l month = ?

8950÷ 60

= $ 149 per month

Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet

Answers

D is the correct answer!

Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!

The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

Area of a rectanglearea = lw

where

l = length

w = width

Therefore,

area = 2x² + x – 6

Let's factorise

2x²- 3x + 4x - 6

x(2x - 3) + 2(2x - 3)

Therefore,

(x + 2)(2x - 3)

Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

learn more on rectangle here: https://brainly.com/question/2605457

PLZZZZZ HELP MEEEEEEEE

Answers

Answer:

i am confused

Step-by-step explanation:

the bits on it is not that good to look at

PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?

Answers

Answer:

What's the spinner?  How many numbers are on it?

Step-by-step explanation:

Please Help These Are All My Points.

Answers

im pretty sure it’s the second one i’m sorry if i’m wrong

8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?

Answers

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.

what is thegreatest possible number of sixth grade students?

Answers

Answer:

50

Step-by-step explanation:

you add 42 and 48 i think

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3

Answers

Answer:

Step-by-step explanation:

the formula for Volume of the sphere is

V=4/3 * π*r^3

diameter =4, r=2

V=4/3 * 3.14 * 8=33.49

Which equation can be used to solve forz in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7

Answers

Answer:

C.

THis is a right angle making it 90°

Therefore, 6x-15) + x = 90

Step-by-step explanation:

A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?

A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.

Answers

Answer:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Step-by-step explanation:

The slope of a Regression Line

A straight line can be represented in the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope describes how fast and in what direction the graph goes when x changes values.

If m is positive, increments in x imply increments in y.

If m is negative, increments in x imply decrements in y.

The regression line is:

ŷ = –3.64x + 96.5

Where:

x = the number of procrastination days

ŷ = the predicted grade

We can say the slope is m=-3.64. This means that:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Pretty sure the guy above me is right, although I have not checked on edge.

(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.

kinda sucks how theres nothing for stats on here but i hope to help a little =================================

if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .

=================================

ED2021

An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?​

Answers

2,400 divided by 12 is 200

it eat 200 a month gl

Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make

Answers

Answer:

6

Step-by-step explanation:

hehdhrhrhrhrbrhhffh

What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x

Answers

Answer: y = -1/5x - 36/5

Hope this is right with the weird fractions. Work in pic:

The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?

Answers

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

How to determine the correct values for t and d?

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

Read more about distance and time at:

https://brainly.com/question/13877898

#SPJ1

39.4 x 1.7 I don’t how workout this out

Answers

Answer:the answer is 66.98

Step-by-step explanation:

Is the equation 2x + 5 = 1 true, false, or open? Explain.

Answers

Answer:

open

Step-by-step explanation:

beacause

2x+5=1

2x=1-5

2x=-4

x=-4/2

x-2 so its open

An open statement is a statement that has an unknown variable

[tex]2x + 5 = 1[/tex] is an open statement

The equation is given as:

[tex]2x + 5 = 1[/tex]

From the equation, we have the following observations.

2, 5 and 1 are constants

x is a variable

Because the equation has a variable (i.e. x), then it is an open statement

Hence, [tex]2x + 5 = 1[/tex] is an open statement

Read more about open statements at:

https://brainly.com/question/11151728

If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *

Answers

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.

Answers

I would have to say B

100 points! hard problem!

Answers

Answer:never gonna give you up

Step-by-step explanation:by rick astley

"you wouldnt get this from any other guy and i just wanna ask you how your feeling, gotta make you underatnd, never gonna give you up, never gonna let you down."

nEvEr gOnnA giVe U uP

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