The populations P (in thousands) of a certain city from 2000 through 2007 can be modeled by P = 1674.7e^kt, where t represents the year, with t = 0 corresponding to 2000. In 2006, the population of the city was about 1,920,000. Find the Value of K

Answers

Answer 1

Answer:

k = 0.02278

Step-by-step explanation:

Given that:

The population P = 1674.7e^kt

where;

t  represents the year,

if year 2000 represents t = 0

Then, the year 2007 represents = 7; &

year 2006 represents = 6

In 2006, population recorded in the city was about 1,920 thousand

Therefore;

[tex]1920 = 1674.7e^{(k\times 6)[/tex]

Taking the logarithm of both sides, we get:

[tex]\mathtt{ In}(1920) = \mathtt{ In} ( 1674.7)+ 6k[/tex]

7.560080465= 7.423389324 + 6k

7.560080465 -  7.423389324 = 6k

0.136691141 = 6k

k = 0.136691141/6

k ≅ 0.02278


Related Questions

Please help me with this problem

Answers

Answer:

asa

Step-by-step explanation:

Find Each Sum Or Difference.
1) 12 + (- 3)
2) -7 + 4
3) -8 + (- 6)
4) -42 + 15
5) 32 - ( - 8)
6) -18 - 12
7) -15 - (-14)
8) -76 - 5

Answers

Answer:

1) 9

2) -3

3) -14

4) -27

5) 40

6) -30

7) -1

8) -81

Each Sum Or Difference:- (1). 9   (2). -3    (3). -14   (4). -27    (5). 40   (6). -30    (7). -1    (8). -81

As we know,

Suppose a and b be two numbers then to find the sum or difference of these two, we can follow some conditions that are given below:

+ or - becomes - and the answer has a sign of greater one from them

+ or + becomes + and answer has +ve sign

- or + becomes - and the answer has a sign of greater one from them

- or - becomes + but the answer has a -ve sign

Then, according to the above conditions the solutions are given below:

1). 12 + (-3) = 9

2). -7 + 4 = -3

3). -8 + (-6) = -14

4). -42 + 15 = -27

5). 32 - (-8) = 32 + 8 = 40

6). -18 - 12 = -30

7). -15 - (-14) = -15 + 14 = -1

8). -76 - 5 = -81

To know more about sum and difference

brainly.com/question/29774937

Nina is 10 years younger than Deepak. Deepak is 3 times as old as Nina. Which system of equations can be used to find d, Deepak's age, and n, Nina's age?
d = n + 10
d = 3n
d = n − 10
d = 3n
d = n + 10
n = 3d
d = n − 10
n = 3d

Answers

Answer:

I believe the answer is a

Step-by-step explanation:

Answer:

I think the anwer is a but im not sure

Step-by-step explanation:

Will anyone please answer my questions? qwq they're kind of important since they're for an assignment that's due today...
and thank you...

ps, I can nominate whoever with a brainlest if you'd like :3

Answers

Answer:

I answered a few.

Under the following translation, (x,y) becomes (x+3, y-2) the point (3,6) will become _____.

Answers

Answer:

(6,4)

Step-by-step explanation:

x+3=

3+3=6

y-2=

6-2=4

Lin's Job pays $8.25 an hour plus $10 of transportation allowance ench week. She has to work at least 5 hours a work to keep the job, and can earn up to $175 per week (including the allowance) Write an Inequality for this situation​

Answers

Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).

The inequality of the situation is x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Let Lin work x hours per week. Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week for $175 per week.

So, the inequality that can be written from the above condition is,

x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Therefore,  the inequality of the situation is x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

a line with a slope of -4/3 passing through (4, -8)

Answers

5, -3 reason why you have to find the X and the Y

Which represents the equation 6 x + 3 y = 12 when solved for y?
y = negative 2 x + 4
y = 2 x + 4
y = negative 2 x minus 4
y = 2 x minus 4

Answers

Answer:

y=(-x+2)

Step-by-step explanation:

6x+3y=12

6x+3y-6x=12-6x Subtracting 6x from both sides

3y=12-6x Simplifying

3y/3=12/3-6x/3 Divide both sides by 3

y=(-x+2) Simplifying

Answer:

the answer is C. y=2x+4

have a good day <3

remember to take care of yourself :)

Step-by-step explanation:

Given two triangles △ABC and △A′B′C′ so that AB = A'B′ (Side), m∠A = m∠A′ (Angle), AC = A ′ C ′(Side). Then the triangles are congruent.
USE STATEMENTS AND REASONS

Answers

The answer abc try it out hope it works

Xenia has 100,000,000 people. Of this population, 25,000,000 residents are below age 16, and 10.000,000 have given up looking for work. Currently, 15,000,000 people are unemployed but are actively looking for work, and the rest are fully employed. What is the unemployment rate?

Answers

Answer: 45000

Step-by-step explanation:

The unemployment rate should be 23.1%.

The calculation is as follows;

Total Labour Force = Total Population - People are Below 16 Years of Age - Unemployed People Not Looking for Work

= 100,000,000 - 25,000,000 - 10,000,000

= 65,000,000

Now

Employment Rate =  Unemployed People Actively Looking For work ÷ Total Labour Force

= 15,000,000 ÷ 65,000,000

= 23.1%

Learn more: brainly.com/question/16911495

Convert the slope-intercept equation below in to standard form. *

Y= -9/4x -18

Answers

Answer:

9/4x + y = -18

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form:   y = -9/4x - 18

Step 2: Rewrite

Add 9/4x on both sides:                    9/4x + y = -18

Step 3: Identify

Standard Form:   9/4x + y = -18

Please help me on thissss

Answers

Answer:No its not a function

Step-by-step explanation:

I need actual help is anyone great at Algebra 1 because I understand nothing
if you are not please don't answer

Answers

Answer:

submarine traveled 100 miles in 5 hours.Ship traveled 80 miles in 4 hours.

Step-by-step explanation:

Which graph represents the function f(x) = 4|x|?

Answers

Answer:

pick a graph from google

Step-by-step explanation:

there is prablly some u can pick from

Answer:

graph B

Step-by-step explanation:

i used desmos graphing calc

We say that the design of a study is biased if

Answers

Answer:

The design of a study is biased if it systematically favors certain outcomes.

Can i have brainliest

Keri is simplifying 5·10−3 which is equivalent to 8/10^-2

Answers

Answer:

c

Step-by-step explanation:

Answer:

I just did this test the answer is A, 800.

Step-by-step explanation:

The graph represents the number of cups of flour for the number of cups of sugar in a cake recipe. Using the graph, which of the following is a correct amount of flour and sugar?

A) 2 cups of flour: 1 1/2 cups of sugar
B) 1 1/2 cups of flour: 1 cup of sugar
C) 5 cups of flour: 3 cups of sugar
D) 1 1/2 cups of flour: 2 1/4 cups of sugar

Answers

Answer: B) 1 1/2 cups of flour: 1 cup of sugar

Step-by-step explanation:

When you look carefully at the graphed line, it intersects the grid at 1 1/2 on the vertical scale for Flour and at the same point, it intersects the 1 on the horizontal scale for Sugar. That is answer B.

Answer A is a close miss! When you follow the grid line across from 2 on the vertical scale, you see that the graphed line crosses it at just a little less than 1 1/2.

Use an equation to find 85% of $350

Answers

Answer:

Calculator 1: Calculate the percentage of a number.

For example: 85% of 350 = 297.5

Calculator 2: Calculate a percentage based on 2 numbers.

For example: 297.5/350 = 85%

Answer:

$297.50

Step-by-step explanation:

turn 85% into a decimal: .85

and then multiply with $350

350*.85= 297.50

A line has a slope of 1 and passes through the point (3, 6). What is its equation in
slope-intercept form?

Answers

Answer:

y=x+3

Step-by-step explanation:

y=x would go through (3,3)

adding 3 to the y-int would make it go through (3,6)

i need the answers asappp!!!!

Answers

Answer:

Part A:y=4,1,0,1,4

Step-by-step explanation:

Mark me as brainliest

Select Proportional or Not Proportional to correctly classify each pair of ratios.
Proportional Not Proportional
1636 and 49

Proportional – 16 36 and 4 9

Answers

Answer:

Not Proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

I just took the test

Have a nice day!

6x + 7x = 39 helppppppppppppppp

Answers

Answer:

x = 3

Step-by-step explanation:

PLEASE HELP URGENT WILL MARK AND 5 STARS

Answers

Answer: a

Step-by-step explanation: go back to 1 grade (sorry)

Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $28, and the company charges a $4 fee for shipping the order. However, if Karen orders 10 or more pounds, the trout costs only $22 per pound, but the shipping fee is $8.

Which piecewise function models the cost of x pounds of trout?

Answers

Answer:

28x + 4, 0 < x < 10

22x + 8, x ≥ 10

Step-by-step explanation:

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and 22x + 8, x ≥ 10.Option A is correct.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function.

Given data;

Trout costs for each pound are, $28,

Shipping charges,$4

x is the number of orders

Given condition;

Karen orders 10 or more pounds, the trout costs only $22 per pound, but the shipping fee is $8.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The total amount is found as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒28x + 4,

For condition 2 the total value is represented as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒ 22x + 8

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and  22x + 8, x ≥ 10.

Hence, option A is correct.

To learn more about the function refer to the link https://brainly.com/question/12431044.

#SPJ2

Find x if 75% of x = 27.​

Answers

36

that is the answer

Answer:

36%

Step-by-step explanation:

"Percent'' or ''%'' means ''out of 100'' or '' per 100'',

Therefore x% can be written as x/100.

So we can write and solve for x;

27/75= x/100

100 X 27/75 = 100 X x/100

2700/75 = 100 X x/100

36=x

27/75= 36/100= 36%

Hope this helped

Write a linear function f
with f(0)=7
and f(3)=1
.

Answers

Start with

y = mx + b

Now use the 2 given points to find m and b.

7 = m(0) + b
b = 7
1 = m(3) + 7
m = -2

f(x) = -2x + 7

Probabilidad de eventos mutuamente excluyentes

Answers

Answer:

bbbhh

Step-by-step explanation:

Answer:

Eventos mutuamente excluyentes

Si dos eventos son disjuntos, entonces la probabilidad de que ambos ocurran al mismo tiempo es 0. Si dos eventos son mutuamente excluyentes, entonces la probabilidad de que ocurra cualquiera es la suma de las probabilidades de que ocurra cada uno.

over a four year period lakeisha thompson purchased shares in the oakmark i fund

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : $6000

Step-by-step explanation:

A) calculate the total amount invested at the end of four years

∑ invested amount for four years

= $1500 + $1500 + $1500 + $1500

= $6000

The use of the dollar cost of averaging helps to minimize the cost of shares and as well as prevent the effects of the sudden moves of shares value

if x^2 = 30, what is the value of x?

Answers

Answer:

it would be the square root of 30 because it doesnt simplify im pretty sure

Step-by-step explanation:

Answer:

hey! the answer is 5.47722557505

Step-by-step explanation:

this is because you just take the square root of 30 :)

whats the slope of (10,9),(1,2)

Answers

Answer:

-7/-9

Step-by-step explanation:

m=y2-y1/x2-x1

2-9=(-7)

1-10=(-9)

-7/-9

hope this helps :3

if it did pls mark brainliest

Other Questions
In the speech, Lewis referred to a great father and great chief. Who was this? Why do you think Lewis used these terms? which of the following should be considered a learning goal, rather then a performance goal? Write down a Story, an event or an incident (200 words only) using all five steps of Writing process. Make sure all steps are in the answer namely Pre-writing,Drafting, Revision, Editing and Publishing. help somebody please , ill cash app you . At a baseball game, 6 hotdogs cost $27. What is the cost of 1 hotdog? How many hotdogs can you buy for $18 Can someone summarize the British plan please PLEASE EXPLAIN WHY IDC IF ITS OFF THE INTERNETChoose the definition of "agrarian."a. having to do with agricultureb. paying money as direct support to assure successc. a council of advisorsd. supervision; watching over as one who assumes responsibility for 1. Discuss how cells store energy and release energy using ATP. Be specific! Draw the ADP/ATP cycle to help with your explanationplease help,I'm stuck and this is due in a few hours q-q Which conclusion can you draw regarding the circumstances the led to this document? A. People disagree about the procedures for the office. B. People are relocating into new work areas after renovation. C. People have been careless with food and beverages in the work area. D. People are taking too many private calls on their cell phones during work. A scientist is trying to identify an element. It contains 4 protons and two valence electrons WILL MARK BRANLIEST!! URGENTHappy Paws charges $20.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.The equation is: ______=______The total cost of the services will be equal at __ hours. Given that 529 3.8 = 2010.2write a division with an answer of 5.29 Jessica has an account with a credit union. Her account earns 2.7% simple interest yearly. Exactly a year and a half ago, she opened her account with $900. Do you like it? Should I add it as my background? The diagram shows the electrical circuit inside a flashlight when the switch isopen and closed.Which series of energy transformations occurs when the switch is closed?A. Chemical energy - Electrical energy - Light energyB. Mechanical energy - Light energy - Electrical energyC. Electrical energy Light energy - Mechanical energyD. Light energy - Electrical energy - Chemical energy My cell phone rings again. It is futile to ignore it; Valerie is persistent. When she wants something, she will continue to harass me until I give in."Hello," I answer."State Fair, Bobbie?" she asks in her singsong voice. "When are we heading out? Only two more days left!"I abhor the State Fair. The boisterous crowds, the insanely long lines, and the impossibility of finding a clean restroom all combine to make this an event that I utterly detest.For Valerie, my best friend since middle school, the State Fair is a sign that divine powers really do exist."Really, Bobbie, where else can you pet a cow, ride a horse, fall ten stories, see the worlds smallest person and eat fried macaroni and cheese?" Valerie asks gleefully."Hades?" I guess.The fried food at the State Fair is a gastronomical nightmare on its own. I once tried a fried pickle at the fair and was sick to my stomach for hours. And a fried donut hamburger with bacon, cheese, AND a greasy egg? How could that not be deleterious? Consuming a single serving of fair food has the potential to take years off your life. And I think about this. But then my better nature takes hold, and an image of Valerie's face on the other end of the line comes into view. I haven't seen her for a good month; our schedules are both so hectic. By and by, my hatred of the State Fair becomes inconsequential compared to my desire to spend time with Val. Besides, I don't have to eat the disgusting fair food. I can simply admire it from a safe distance.Alas, I ignore my anti-fair bias for the umpteenth year. "Pick me up at noon," I say and hang up the phone.According to the passage, Bobbie finally agrees to go to the fair becauseA. Valerie convinces her using a tempting descriptionB. Valerie coerces her using peer pressureC. she recognizes that she does not have to eat fair foodD. she wants to spend time with Valerie What is the dependent variable for the following experiment?Kim notices that Brad's Bread does not mold after a week in an open bag. Walter's Wonderful White produces a layer of black "fur" in the same length of time in itsopen bagO Amount of timeType of breadAmount of moldOpen bag 3. A googol is a very large number expressed as10100. Ms. Rogers asked her students todetermine which number is larger, a googolor 10010. Explain how her students might usethe idea of repeated factors in order to findthe solution. What is the author's purpose in writing the passage?O To describe the lack of a human's realization in a dangerous environmentO To contrast the experience of the man with the inexperience of a native animalO To compare the ability of a human to endure a cold environment to that of an animalTo explain the effects of severe below-zero temperatures? True or False: Strep throat is caused by bacteria.ATrueBFalse