The population of a town is 75 000 and decreases 15% each year. Complete the exponential function that models the population afterx years
f(x) = 75,000

Answers

Answer 1

Answer:

Step-by-step explanation:

This is an exponential function of the form:

[tex]y=a(1-r)^x[/tex] where a is the initial value and (1 - r) is the growth rate (which in our case is a decay, actually!). Our initial value is 75000 and our rate of change in the population is 15% or .15. Filling in our model:

[tex]y=75000(1-.15)^x[/tex] and simplifying:

[tex]y=75000(.85)^x[/tex] This turns out to be a decay problem because the value inside the parenthesis is less than 100%.

x is our time, so the model is as stated above.


Related Questions

What is the surface area of the cone in terms of π. Enter your answer in the box. and the radius is 8cm and the height is 15

Answers

Answer:

it should be 628.32 I'm not sure if I'm correct

PLEASE HELP.
The hypotenuse of a right triangle is twice the length of one of its legs the length of the other leg is 7 feet find the length of the three sides of a triangle answer exactly or round to two decimal places.

Answers

Both legs are equal to 7 and the hypotenuse is equal to 14


What is the radius of a
cylinder with a
diameter of 18 cm?

Answers

It is 9cm

Since a diameter is twice the size of a radius.

Hope this helps

What is the slope of a line perpendicular to the line whose equation is x + 3y = -12

Answers

Answer:

5

Step-by-step explanation:

,

Does this line represent a function? Yes or no

Answers

Answer:

Yes

Step-by-step explanation:

The line is straight, showing a linear relationship between x and y.

Answer:

yes this does represent a funtion

Step-by-step explanation:

because if we use the vertical line test where you get a pencil and put it the graph verticaly any where thier is no points on the graph that toch the pencil twice

An equation is represented by the model below

What is the value of x that makes the equation true?

If you can may someone explain how to do this also? Thanks!​

Answers

Answer:

The value of x=5!

Step-by-step explanation:

I remeber ing this!!!:)

find <ABC. Please help.​

Answers

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

Can any one answer everything

Answers

I don’t really understand for question 11 to 13

the number of miles to the nest service station and the number of kilometers

Answers

Answer:

<3  

Step-by-step explanation:

is a linear relationship as the are 1.6 Km in 1 mile .

Observa las siguientes imágenes formadas por círculos:

Figura 1 (un circulo) Figura 2 (5 círculos)

-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?

Answers

1.En 10 figuras habrá 37 puntos si te fijas en las imágenes lo único que hace es agregar 4 puntos a cada uno como la tercera imagen tiene 9 puntos hize 9 + 7x 4= 37
2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

¿Como encontrar el patrón?

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

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please help me it would help a lot

Answers

Answer:

7/80 is the answer because there are 7 possible chances she can get a red or blue gumball.

Step-by-step explanation:

what two numbers multiply to 15 and add to -8?

Answers

Answer:

-3 and -5

Step-by-step explanation:

because two negatives equal a positive

idek if this is correct

sorry if its not

PLEASE HELP THIS HAS A TIMER The following two-way table shows the distribution of daily traffic and weather issues in a certain large city.

A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.

Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?

No, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
Yes, P(A) = P(A|B).
Yes, P(A) ≠ P(B|A).

Answers

Answer:

I believe the answer is (B).

Both are not independent, and the probability of A is 30/100.

While the probability for A|B is like 30/100(80/100) which does not equal 30/100.

I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck

ED2021

The two events are not independent as the traffic is affected by the weather conditions.

What is independent probability?

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Let event A = heavy traffic and event B = bad weather.

P(A)=  25/30 and P(B)=25/30

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

Learn more about the independent probability here:

https://brainly.com/question/27987662.

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Find the equation parallel to y = -x - 5 and passing through (-3, -3)

Answers

Answer:

y = -x - 6

Step-by-step explanation:

If it's parallel, then it means that the slope will remain the same. The slope is

-1.

To find the y-intercept, you need to plug the coordinates into the equation,

y = -1x + b

-3 = -1(-3) + b

-3 = 3 +b

-6 = b

The equation is y = -x - 6

What is the area, in square inches, of the shaded part of the rectangle below?

Answers

Answer:35

Step-by-step explanation:

5(-7)+9(4) I am confused on this problem

Answers

Answer:

the answer is 1

Step-by-step explanation:

Answer:

It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1

-35+36=1

Help me with this problem please

Answers

Answer:

I'm not 100% sure, but I think the answer is 10 units squared.

Step-by-step explanation:

Find the area of each triangle, by multiplying each side, and dividing the answer in half. Add both of the triangles together, ending up as 6. Now we just find the area of the square. 2x2=4, add that to both of the triangles, and we're done. (2x2) ÷ 2 = 2 | (2x4) ÷ 2 = 4 | 2x2 = 4 | 4+4+2=10

Answer:

area=10 units^2

Step-by-step explanation:

[tex]a=\frac{(2+2+4)+(2)}{2} *2\\ =\frac{8+2}{2} *2\\ =\frac{10}{2} *2\\ =5*2\\ =10[/tex]

a=10 units^2

Liam plans to start depositing $175 each month into an interest earning savings account. According to his online calculations, the balance of the savings account in 5 years will be about $12,100. How much of the final balance will come from interest earned? Group of answer choices

Answers

Answer:

10,600

Step-by-step explanation:

can you give me the brainliest pls

The final balance will come from interest earned will be $1,600.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time. The principal amount in simple interest is constant.

To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.

The amount deposited each month: $175

Months: 12 x 5= 60

Total amount deposited: $175*60= $10,500

Interests: $12,100-$10,500= $1,600

According to this, the amount of the final balance that will come from the interest earned is $1,600.

To know more about simple interests follow

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23 please help thanks no link or i will report

Answers

how many students got 90 or less = 14

how many students got more than 90 = 11

3 more students got 90 or less so answers is D. 3

please mark brainliest

A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current is 5 mph from north to south. To the nearest foot, how far downstream on the east bank will she land?

Answers

Answer:

S, and the other day. I have been a while. I have a great drea the most important things. The may have to pay a fee of the most popular and I will not 66 the most of the most of my life. I was a bit of the best, but the 15th. I have been a while. I am your what is happening in the next couple days 6 the most of the most of the most

Step-by-step explanation:

popular and I will not be hurt by a friend of the day, and the other side, I think I have a great drea, I think I have been a while. I have been in touch. Thanks for the next day delivery. We have a great drea the same time. I was just the right place for the use of the most of the most popular and I am a beautiful person. The comments for your email.

The woman will land on the east bank of the river at a downstream of 37.5 miles.

What is meant by relative velocity ?

Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.

Here,

Width of the river, W = 60 miles

Velocity of the boat in still water, Vb = 2 mph

Velocity of river, Vr = 5 mph

Relative velocity of the boat with respect to river in downstream,

Vbr = Vb + Vr

Vbr = 8 mph

Drift of the boat, d = Vr W/Vbr

d = 5 x 60/8

d = 37.5 miles downstream

Hence,

The woman will land on the east bank of the river at a downstream of 37.5 miles.

To learn more about relative velocity, click:

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CAN IN THIS APP HELPS ME I POSTED THE QUESTION 4 TIMES LOST ALL MY POINTS PLEASE Help please help me

Answers

Answer:

i am not certain but i think i am correct

LA- 131.88

SA- 188.4

V- 197.82

Step-by-step explanation:

LA-

2×3.14= 6.28

6.28×3= 18.84

18.84×7= 131.88

SA-

2×3.14= 6.28

6.28×3= 18.84

18.84×7= 131.88

2×3.14= 6.28

6.28×3= 18.84

18.84×3= 56.52

56.52+131.88= 188.4

V-

3.14×3= 9.42

9.42×3= 28.26

28.26×7= 197.82

as i said i am not sure if this is right

The diameter of a circle is 6 cm. About how long is the circumference of the circle?
A
9 cm
(B
12 cm
©
(U
19 cm
D
28 cm

Answers

Answer:

The circumference is about 19 centimeters.

Step-by-step explanation:

The formula for finding the circumference of a circle is [tex]2\pi r[/tex] or simply [tex]\pi d[/tex].

Now input the values into the formula, keeping in mind that pi is almost 3.14.

[tex]\pi *6=18.84[/tex]

Answer ≈ 19 cm

Hope this helps; have a great day!

The mean of five numbers is 25. If one of the numbers is excluded, the mean gets reduced by 3. What is the value of the excluded number? [1 point]

Answers

Mean = sum of all data points / number of data points

Question 5 (1 point)
Which statement about segregation in Arkansas following Reconstruction is true?
The United States Supreme Court supported segregation.
O Governor Clayton put a stop to segregation.
Only public transportation was segregated
The federal government resisted efforts to segregate.

Answers

Answer:

Step-by-step explanation:

The answer is the United states Supreme Court suported segreation

PLS HELP
and explain if you can :3

Answers

Answer:

12, 6, 4, 3, 12/7

Step-by-step explanation:

so for each column, you would substitute the number for a in the equation. for example, substituting 2 for a will make the equation 2/2 + b = 12. we now need to isolate b. 2/2(2/2 + b) = 12(2/2) makes the new equation b = 24/2, or b = 12.

Answer:

11,10,9,8,5

Step-by-step explanation:

look at the table.

they are giving you what a equals.

for example: in the table, it says a is 2. SO you put that into the equation you are given.

[tex]\frac{a}{2}[/tex] + b = 12 substitute "a" which we know is 2 into the equation

[tex]\frac{2}{2}[/tex] + b = 12  NOW you solve for b

first, divide 2 by 2 which equals 1

THEN subtract 1 by 12 giving you 11. The equation should look like this

b = 11

11 can then go under 2 on the table.

Do this for the rest of the answers.

need it done quickly​

Answers

Answer:

363636

Step-by-step explanation:

756 x 481

How many solutions does this equation have?

6b = 3b + 3b

is there a solution

Answers

Answer:

Yes

The answer is 1

Step-by-step explanation:

I really need help on this question, because I forgot of how to find the angle of each variable.​

Answers

Answer:

a = 38 degree

b = 54 degree

c = 54 degree

Step-by-step explanation:

a = 180 - 142 = 38 ( angle on a straight line is equal to 180)

To determine the value of b, we have to find the other missing angle in the triangle.

the value of the missing angle is 38

Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38

b = 180 - (38 + 88) = 54

c = 54

If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the length of the two other sides?

Whoever answers first will get all my 38 points!!

Answers

hyp^2 = a^2 + b^2

sqrt (hyp) = 2
hyp = 4
hyp^2 = 16 then from above a^2 + b^2 = 16

Find the area of the shaded region. The radius of the large circle is 10 m. Round answer to the nearest hundredth.

Answers

Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( [tex]\frac{\pi }{4}[/tex] ) * D^2) - 2(  ( [tex]\frac{\pi }{4}[/tex] ) * d^2 )     given that the small circles are congruent

= (( [tex]\frac{\pi }{4}[/tex] ) * 20^2 ) - 2 ( ( [tex]\frac{\pi }{4}[/tex] ) * 10^2 )

= 314.16 - 157.08

= 157.08 m^2

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