suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+25000?

Answers

Answer 1

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.


Related Questions

If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD

B. EF

C. ED

D. CA

Answers

Answer:

EF

Step-by-step explanation:

BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.

Answer:

EF

Step-by-step explanation:

The corresponding side to BC is EF.

Look at the bolded letters

ABC DEF

notice the similarities?

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

if u can get a better picture I can help you

60.98 x 62xv Whats v

Answers

V=13 because you minus 60.98 by 62

Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?

Answers

Answer:

Horizontal compression by a factor of 2 followed by a vertical shift by positive 3

Step-by-step explanation:

a*f(k(x-d))+c

k=2

c=3

for each value c determine how many solutions the system has

Answers

Answer:

can we get a picture or something? we cant help unless we have more context

Step-by-step explanation:

The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?​

Answers

angle a = 180°-80°-40°=60°

Pls help if correct ill mark brainliest. fill in the blanks with the correct term :p

Answers

Answer:

11. attends

12. attend

A solid wood cone 12 cm in diameter and 8 cm high sells for $1.19. A second wood cone is 17 cm in diameter and 12 cm high. the fair price for this second cone rounded to the nearest cent, is

a) $2.53,
b) $3.58
c) $5.06
d) $10.75
e) $14.33

Answers

Answer:

Answer is a

Step-by-step explanation:

I think it's "A", im looking for answer as well :(

Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. How much does 12 burgers cost?

Answers

12 x $2.25 = $27.00 for twelve burgers.

3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?

O 23%

38.5%

061.5%

077%

Answers

The percentage of the people that were satisfied with the bus company's  performance is: B. 38.5%

Given the following data:

Population = 200 peopleSatisfied people = 77 people

To determine the percentage of the people that were satisfied with the bus company's  performance:

In this exercise, you're required to find the number of the people that were satisfied with the bus company's  performance as a percentage of the total population in this survey.

Thus, we would use this formula:

[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]

Substituting the given parameters into the formula, we have;

[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]

Percentage = 38.5%

Read more on percentage here: https://brainly.com/question/14432715

Helpppppppppp asappppppppp 20 points

Answers

Here’s a small hint: “miles per hour”

Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!

Answer:

i say its c

Step-by-step explanation:

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 72, 12, 2,

Answers

Answer:

divide by 6

Step-by-step explanation:

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

2 cm

Step-by-step explanation:

8x13=104

208/104=2

5 |2x + 6| = 25 what is x

Answers

Step-by-step explanation:

මාපාංක සුලු කිරිම.

l xl means ± x .

then |2x+6| = ±(2x+6)

for positive no;

5 (2x+6) = 25

10x + 30 = 25

10x = -5

x = -1/2

for negative no;

5(-2x - 6) = 25

-10x - 30 = 25

-10x = 55

x = - 11/2

otherthan that I observed.

5 |2x + 6| means only consider about the positive number. i think it called as amplitude.

then you have to calculate by considering only considering plus value.

How ever in my openion is first method is correct. i have doubt about that. so you have to discuss your teacher dear. to find correct way.

Need help now pls on HS geometry

Answers

Answer:

b

Step-by-step explanation:

RT is a perpendicular bisector of QS , then

Δ QRS is isosceles with 2 congruent legs , that is

QR = SR

7x - 22 = 4x + 5 ( subtract 4x from both sides )

3x - 22 = 5 ( add 22 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41

What is the reciprocal of 64?

Answers

1/64
0.015625 in decimal form
a reciprocal is the 1/whatever the number is
The reciprocal of 64 is 0.015625

Help!!
So I think that someone is tracking my truck with an apple airtag but I don't know for sure. The only apple product I have is an iPad and I don't know how to check if an airtag is near by!!

Answers

Answer:

well....

Step-by-step explanation:

trow the apple

Solve 2x^2 - x ≥ 15. Show your work

Answers

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

I need help with this question

Answers

Answer:

Option D

Step-by-step explanation:

a^2 + b^2 = c^2

5^2+b^2=9^2

25+b^2=81

b^2=56

b=2√14

3(x+2)+5x how do i simplify that expression?

Answers

1st: do distributive property, that will give you 3x + 6 + 5x

2nd: combine like terms to simplify, this will give you 6 + 8x

Answer:

2(4x+3)

Step-by-step explanation:

Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5

Combine the terms 3 + 6 + 5 to 8 + 6

Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )

find the indefinite integrals ​

Answers

Answer:

Below in bold

Step-by-step explanation:

dx / (x^2√(9-x^2))

Substitute x = 3sinu and dx = 3cosu du

then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u  and u = arcsin(x/3)

= 3 ∫(csc^2 u du )/ 27

= 1/9 ∫(csc^2 u du

= -1/9 cot u

= -√9-x^2) / 9x.

h(x) = x^2 - 5x +7
Find h(-5)

Answers

Answer:

57

Step-by-step explanation:

h(-5) = (-5)^2 - 5(-5) + 7

h(-5) = 25 + 25 +7

h(-5) = 57

Answer:

[tex]\bold{h(-5)=57}[/tex]

Step-by-step explanation:

Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]

[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]

[tex]-5^2 - 5(-5) +7[/tex]

PEMDAS order of operations

Parenthesis

[tex]\bold{-5\times(-5)}\\=25[/tex]

[tex]-5^2+25 +7[/tex]

Exponents

[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]

[tex]25+25 +7[/tex]

Addition

[tex]25+25+7\\=50+7\\=57[/tex]

Therefore, [tex]\bold{h(-5)=57}[/tex].

The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.

Answers

The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.

By factor the polynomial we get the following roots:

[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]

[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]

Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743

7x - 4 = -18?
please give an answer.

Answers

Answer:

x=-2

Step-by-step explanation:

7x - 4 = -18

+ 4. +4

7x = -14

÷7. ÷7

x=-2

Answer:

x = -2

Step-by-step explanation:

7x - 4 = -18?

7x - 4 = -18

7x = -18 + 4

7x = -14

x = -14 : 7

x = -2

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

check

7 * (-2) - 4 = -18

-14 - 4 = -18

-18 = -18

the answer is good

Find the total surface of :

Answers

(pi)r^2 = (pi)(14)^2,

(pi)196

Now solve for the height,
(10)(196)(pi)
Then it’s 1960(pi)

Now multiply pi, 6157.521

30% of 70 is what?
me is not smart

Answers

Answer:

21

Step-by-step explanation:

30/100 × 70= 2100/100

= 21

just solved this easy question 2 + 2 × 2 + 2 ÷ 2=

Answers

Answer:

7 is the answer.

Pls mark brainliest.

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

The zero is -6, that’s where it crosses the x axis.

Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)

Answers

Answer:

6/12 or 1/2 If you simply

Step-by-step explanation:

multiply straight across

Answer:

1/2

[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]

y=2x squared +4x-1 . help me

Answers

Answer:

y = 9/8   for part one of solving y in this equation .

Step-by-step explanation:

Answer:

x=  (√2y+6/2)-1

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

2x^2+4x−1=y

Subtract y from both sides.

2x^2 +4x−1−y=0

Using quadratics formula:

x=-4±√4²-4*2(y-1)/2*2

x=  −4±2√ 2y+6/4

Next solve the equation by using either ± = subtraction or addition

I am using ± = addition. This means I add -4 to 2. From there I simplify equation.

x=  (√2y+6/2)-1

Not sure if this means to find x, but I think this is what it would be.

 

Other Questions
Part FThe year the Greek city of Helike disappeared is - times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helikes disappearance.Part GUse the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD.Part HUsing the results from parts D through G, write an expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War. Write the expression in terms of c and w. Then solve the expression to find out how many years separate these two events. I will give brainliest too what is the flashlight most likely shining on A.wooden board Bclear piece of glass C.sheet o white paper D.sheet of aluminum foil what happens if you take 65% of $21.00 and compute 110% of the reduced price Which statement would the author of the passage mostlikely agree with?Passage:3. The Patriot Act updated the law to reflect new technologies and new threats. The Act brought the law up to date with current technology, so we no longer have to fight a digital-age battle with antique weapons-legal authorities leftover from the era of rotary telephones. When investigating the murder of Wall Street Journal reporter Daniel Pearl, for example, law enforcement used one of the Act's newauthorities to use high-tech means to identify and locatesome of the killers.-"The USA PATRIOT Act:Preserving Life and Liberty,"Department of Justice The Patriot Act is essential to the United States'efforts to combat terrorism.O The Patriot Act is essential to the United States'efforts to combat war.O The Patriot Act is needed to help the United Statesprotect privacy rights.O The Patriot Act is needed to help the United Statesprotect suspects' rights.A is the correct answer! :) What is the y-intercept of the graph of the function f(x) = x2 3x 5?. On interval 0 x < 2, where are the x-intercepts of y = cos(2x)? startfraction pi over 2 endfraction and startfraction 3 pi over 2 endfraction 0, , and 2 startfraction pi over 2 endfraction, pi and startfraction 3 pi over 2 endfraction. In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable. Use the passage to answer all parts of the question that follows. A) describe the broader historical situation in africa at the time that jean barbot wrote his book. B) explain one way in which the passage illustrates the continuing development of the atlantic in the seventeenth century. C) explain one way in which barbots background might have influenced his comments about the dutch and the portuguese in the second paragraph. This is confusing, help please Which terms describe aspects of the Northwest Indian cultures? Select the two correct answers. igloos burial mounds potlatches totem poles what is 2244 divided by 51 show work Use the long division method to find the result when 12x3 - 27x2 + 13x + 30 isdivided by 4x + 3. (PHOTOGRAPHY) Devon wants to capture the movement of the stars through the night sky. His photograph will take about six hours to capture so that in the final image his audience can see the movement of the stars through the night. What type of photography is Devon MOST likely engaged in?Group of answer choicesforensic photographytime-lapse photographymovement photographymacro photographyPLEASE HELP ASAP Drag each tile to the correct box. Match the locations in Oklahoma with their associated facilities or functions during World War II. Fort Sill Midwest City Will Rogers Air Field Spartan School of Aeronautics township for Tinker Field employees training for US Air Corps pilots training for British Royal Airforce pilots prisoner of war camp After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations? The equation has no solution; therefore, the system of equations has no solution. The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60). The equation has infinite solutions; therefore, the system of equation as infinite solutions. The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0). can anyone solve this for me and help me with english Help!NO LINKS!!!Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.A. (-2, -4), (0, 0), (2, 4)B. (-2, 4), (0, 0), (2, -4)C. (-2, -4), (0, 0), (2, -4)D. (-2, 4), (0, -2), (2, 4) Please help me do this with my exam tomorrow.Indicate the target item of the time to use, preserve and turn it in time. In your family and locality, what methods of harvesting, management and processing do you apply? Ex example Which of the following is true concerning continental crust? a. It does not contain radioactive elements. B. It mostly contains heavier and denser minerals than the mantle. C. It efficiently transfers heat from the mantle to the surface. D. None of the above Please select the best answer from the choices provided A B C D. PLS HELP, HELP HHHHEEEELLLLPPPP1) How long is it's growing season for carrots.2) How long is it's growing season for corn. plz help me to answer