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

Antwone has a tutoring business. For every hour that he tutors, he makes $30. Select the equation that can be used to determine the total amount of money, y, Antwone makes for tutoring x hours. A x = 30y B y = 30x C x = 3y D y = 3x

Answers

Answer:

B. y = 30x

Step-by-step explanation:

Answer:

The answer to this problem is B)y = 30x

Step-by-step explanation:

For a science project hailey puts a cylindrical can out to collect rain water the can was 11 inches tall and diamamter of 8 inches if it rained exactly 20 cubic inches a day how many days

Answers

Answer:

27.7 days

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 8/2

(22/7) x (4^2) x 11 == 553.14 in^3

if it rains 20 cm^3 per day, the can would fill in : volume of can / amount of rain = 553.14/20 = 27.7 days

What is the formula to find the IQR or at least how do you calculate it from a boxplot?

Answers

Answer:

The IQR is the difference between quartile 3 and 1

Step-by-step explanation:

Answer:

IQR = Q3 - Q1

A school has a parking lot that is 150.23 feet by 135.12 feet. What is the perimeter of the parking lot?

Answers

Answer: 570.70 ft

Step-by-step explanation:

The perimeter is the distance around the entire parking lot.

The measurement of 150.23 ft by 135.12 ft is half of the distance of the lot because it represents just two sides yet there are 4 sides.

The other two sides have the same measurement as this is a rectangle.

The perimeter of the parking lot is:

= (150.23 * 2) + (135.12 * 2)

= 570.70 ft

If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!

Answers

Angles in a triangle add up to 180 degrees so
41+71=112
180-112=68
Angle of BAC=68 degrees

PLEASE HELP THANK YOU

Answers

Answer:

thanks you too for having us

I need help ASAP!

Please help me!!

Answers

1) x axis is the line on the bottom (horizontal line)
2) y axis is the line that goes vertically
3) origin is (0,0)
4) A is the dot that is height is the middle. B is the highest dot. C is the lowest dot
5) (4,6)
6) (2,9)
7) (0,4)
8) the correct ordered pair is (7,3) because it is (x,y) and allie switched between the two

1. The X axis is the line going left and right

2. The Y axis is the line going up and down

3. The origin is the point where the X and Y axis meet; (0,0); by the 0

4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C

5. (4,6)

6. (2,9)

7. (0,4)

8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)

Can someone please help me with math.

Answers

Answer:

1 is b

2 is c

3 is b

Step-by-step explanation:

Initial co-ordinate of p = ( 2, -2)

Rule for rotation 180° about the origin

(x,y) ----> ( -x , -y )

Meaning of the rule: To find the coordinates of a point that was rotated 180° about the origin all we have to do is add negative signs in front of the x and y values of the coordinates. THE NUMBER STAYS THE SAME. THE ONLY THING THAT CHANGES IS THE SIGN

* add - to the coordinates *

- ( 2 , -2 )

-1 * 2 = -2

-1 * -2 = 2

we end up with ( -2, 2 )

Hence the answer is B

For this one a rectangle was dilated and we have to find the scale factor and the new width.

We are given the pre image width (3) and length (4) and the new image length (12)

We can find the scale factor by dividing the new image length by the pre image length ( Note that you have to use corresponding sides. Like pre image height over new image height or pre image length over new image length. etc. )

So scale factor = 12 / 4  or 3

Now to find the new image width

We can do this by multiplying the pre image width (3) by the scale factor (3)

So new image width = 3 * 3

3 * 3 = 9

Hence the width of the enlarged  print is C 9 inches

For this one we need to find x using angle rules

The angles shown are supplementary angles meaning that the sum of the two angles is 180

That being said we can create an equation to solve for x

180 = 64 + 4x + 16

Now we just solve using basic algebra

step 1 combine like terms

64 + 16 = 80

now we have 180 = 4x + 80

step 2 subtract 80 from each side

80 - 80 cancels out

180 - 80 = 100

now we have 100 = 4x

step 3 divide each side by 4

100/4 = 25

4x/4=x

we're left with x = 25

ABC is isosceles.
m < a = 3x + 40 and m < c = x + 50
what is m < a ??​

Answers

Answer:

55°

Step-by-step explanation:

It is assumed the angles A and C are congruent:

3x + 40 = x + 503x - x = 50 - 402x = 10x = 5

m∠A = 3*5 + 40 = 55°

Answer:

solution given:

m<a=m<c

3x+40=x+50

3x-x=50-40

x=10/2=5

now

<a=3×5+40=55°

m<a=55° is your answer

Find the value of x.
log8x=3

A. 512
B. 24
C.6561
D.1/512

Answers

A. 512 is the answer.

What is the measure of angle x?

A 44°

B 53°

C 83°

D 180°

Answers

Answer:

the correct answer is D (what a drag)

What is the volume of a hemisphere with a diameter of 5.5 cm, rounded to the
nearest tenth of a cubic centimeter?​

Answers

Answer:

not very sure but  V = 2094.3951 m3

Step-by-step explanation:

500% of what number is 3,700?

Answers

Answer:

18500

Step-by-step explanation:

Well first we turn 500% into a decimal by dividing by 100

500/100 = 5

Now 5*3700=18500

About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?

Answers

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

y = x - 6
5x - 2y = -30

Answers

Answer:

(-14,-20)

Step-by-step explanation:

hope it helps!

Answer:

x=-14, y=-20

Step-by-step explanation:

how many 33 are in 232 ?​

Answers

Answer:

7

Step-by-step explanation:

so simple like that you gona divide it

Suppose a city with population of 400,000 has been growing at a rate of ​5% per year. If this rate​ continues, find the population of this city in years.

Answers

The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.

Using a t value of 10 years

Answer:

651558

Step-by-step explanation:

Given that:

Initial population, P0= 400,000

Growth rate, r = 5%

Using the relation :

P(t) = P0 * (1 + r)^t

t = number of years = 10

P(10) = 400000 * (1 + 0.05)^10

P(10) = 400000 * (1.05)^10

P(10) = 400000 * 1.628894626777

P(10) = 651557.8507

= 651558 nearest whole number.

Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.

The price of a tablet was increased from $180 to $207. By what percentage was the price of the tablet increased?

A.33%
B.8%
C.27%
D.15%

Answers

Answer:

D. 15%

Step-by-step explanation:

Find the percent increase by dividing the difference in prices by the original price

27/180

= 0.15

So, the percent increase was 15%

The correct answer is D. 15%

Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 8 calories per square
inch, how many calories did he eat?

Answers

Answer:

175.929

Step-by-step explanation:

7pi = area of half of pizza

21.99x8 = calories in half of pizza

20. A construction company is hired to resurface a straight section of road.
• The section is 100 yards long and 18 feet wide.
• The company's truck can haul 250 cubic feet of gravel per load.
What is the minimum number of truckloads required to completely cover the section of
road to a depth of 6 inches?
A 3
B. 4
C.
10
D. 11

Answers

Answer:D

Step-by-step explanation:

Convert 100 yards to feet, which becomes 300 feet.

6 inches into feet, 0.5 feet.

18 feet times 300 feet times 0.5 feet is 2700 cubic feet.

Divide 2700 by 250 and you get 10.8. Meaning, you need 11 trucks since there is a remaining 0.8.

The minimum number of truckloads required to completely cover the section of road to a depth of 6 inches should be 11.

Calculation of the minimum number:

Since

The section is 100 yards long and 18 feet wide. The company's truck can haul 250 cubic feet of gravel per load.

So here first we have to convert 100 yards to feet so it should be 300 feet.

Now 6 inches into feet should be 0.5 feet

Now the total be like

= [tex]18 \times 300 \times 0.5[/tex]

= 2700

Now the minimum number should be

= [tex]2700 / 250[/tex]

= 10.8

= 11

Learn more about number here: https://brainly.com/question/24585170

Simplify the expression

(-3v)^5

Answers

Answer:

=-243v^5

Step-by-step explanation:

=-(3v)^5

=-3^5v^5

=3^5=243

=-243v^5

Helped by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

=-243v^5

Step-by-step explanation:

[tex](-3v)^5 = -3 x-3 x-3 x-3 x-3 = -243 ..than..add..the..v..which..equals..--243^5\\[/tex]

I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!

Can someone please answer this please for god's sake

Answers

Answer:

x = 36 degrees

y = 48 degrees

Step-by-step explanation:

The two given triangles are congruent

Hence, we can say that the interior angles are equal

We shall use the angle markings on each of the triangles

Using the markings, we can see that y is 48 degrees

Now, let us find the last angle measure of the first triangle

Mathematically, the sum of angles in a triangle is 180

Thus;

108 + 48 + A = 180

A = 180 - 48 - 108

A = 180 - 156 = 24

Now, the measure 2x-y is equal to this;

Hence;

2x -y = 24

2x = 24 + y

we have that y = 48

2x = 24 + 48

2x = 72

x = 72/2

x = 36 degrees

Jill earns $56
(y) for 1 hour of
babysitting
each day for
a week (x).

Answers

Answer:

In a week, Jill will earn $392 if she babysits for 1 hour per day.

Step-by-step explanation:

What the answer. ? Please no links

Answers

Answer:

would not be able to use 3 1/2 ft

Step-by-step explanation:

8.5 + 4.5 > 3rd side   ∴ 3rd side must be less than 13 feet

4.5 + 3rd side > 8.5   ∴ 3rd side must be greater than 4 feet

Solving equations by combining like terms

Answers

Answer:

its kinda blurry

Step-by-step explanation:

FIRST CORRECT ANSWER GETS BRANLIEST PLEASE HELP!!!! PHOTO ABOVE

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem is that (for right triangles)

a^2+b^2=c

Meaning c is the side opposite the right angle

Hope this helps!

PLZ help I am so confused

Answers

Whenever it says divide just flip the fraction and change it to multiply

"Determine which three lengths cannot be the measure of the sides of a triangle. 2 m, 5 m, 6 m 8 m, 10 m, 17 m 5 m, 20 m, 22 m 4 m,15 m, 20 m"

Answers

Answer:

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m  BUT

                                  20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.

Jane has 3 yards of ribbon. It takes 1/4 of a yard to make a bracelet. How many bracelets can she make?

Answers

Answer:

12 bracelets

Step-by-step explanation:

Alan has read 70% of a book. He has 15 more pages to finish. How many pages are there in the
book?

Answers

50 pages. See the details in the attached picture.
Other Questions
* ill mark u BRAINLIEST * Alexa had $68, she spent $24 at the library, and $35 at the shoe store. Determine if she can afford a $12 shirt. Explain your answer. What environment issues do Mexico City suffer from? Help me now or else. Find the missing length indicated. Leave your answer in simplest radical form.How do I set up the proportion for this? What wouldhappen to thevultures if thegazelledecreased? I lift a 20kg ball up 2.5 meters off the ground on Earth.-Earths gravitational acceleration is about 9.8 m/s2.How much gravitational potential energy does the ball have at this point? _____________How much work did I do lifting up the ball? _____________________________________If I lift the same ball the same distance on the Moon, then how much gravitational potential energy will it have? (Moons Gravity = 1.6 m/s2) ____________________________________ How did governments around the world respond to the Great Depression? What system kept the poor in SC in poverty for generations? Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help What is the Mean Absolute Deviation of the following data set?{23, 25, 28, 29, 30} PLZ HELP!! I RLY NEED IT!! Josie selected 6 books from thr library. However, he can only check out 4 books at a time. How many possible selections can he make? What are some good animes or kdramas to watch? 1. The top surface of a model building is composed of 2 rectangles and a triangle. Some side lengths of the top surface of the counter are shown. What is the area of the top surface of the model building. Helpppppppppppppppppppp Sara has 3 choices to get to school: walk, ride a bike, or ride the bus.She has the same choices to get home after school. If Sara randomlychooses how she is getting to school and home, what is the probabilitythat she will walk to school and then ride the bus home? I do not have an answer to this question: Keith buys a bad of dog food. The bag contains 16 1/2 cups of food. If his dog eats 1 3/8 cups a day, how long will the bag last? Place in order the steps you take when helping with an emergency situation: y u i f g h j k V b n mput in alphebetical order? attachemntlook at it At a party there are 90 people.48 are women and 42 are men.Some women leave.Some men arrive.The ratio of women to men is now10:11Are there now more than 90 people at the party?Show working to support your answer.