Is the equation A = 21000 ( 1 − .12 )^t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period?

Answers

Answer 1
It is an exponential decay because it is going to be a fraction and the rate% is 12% per time period.
Answer 2

Answer is Exponential Decay.

Exponential Growth and Decay:

Exponential decay is a process that decreases quantity over time.

Exponential growth is a process that increases quantity over time.

(Given),

[tex]A = 21000(1-0.12)^{t}[/tex]

Let's take,

[tex]B = (1 - 0.12)^{t}[/tex]

As the t increases the B value decreases exponentially. So, the  A = 21000*B also decreases exponentially as t increases.

And the rate of change per time period is (0.12 x 100)% = 12%.

So, It is exponential decay.

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Related Questions

Maya’s bedroom is in the shape of a rectangular prism 15 feet long 12 feet wide and 10 feet high it has no windows Maya once to P allfour walls including the door in your ceiling where is the service area she will paint

Answers

1,800 feet of painting. That'll take a while
can u please explain that more and clearer?

What kinds of symmetry do these letters and numbers have? Choosing best answer? What kind(s) of symmetry do these have? F 3 E Point, line, plane, or none?

Answers

Answers:

Letter F: none
Number 3: line and plane simmetry
Letter E: line and plane simmetry

Explanation:

1) point symmetry means that a rotation of 180° returns the same original figure.

None of the objects given result the same when you rotate them 180°, so none has point symmetry.

2) line simmetry is when the reflection accross a line returns the same original figure.

Both number 3 and letter E have symmetry accros a horizontal line that crosses them by the middle, which F does not.

3) Plane simmetry: exactly as with the line,number 3 and letter E have simmetry accross a plane that crosses them by the middle.

BRAINLIEST FOR WHO EVER GET THIS RIGHT triangle has a leg of 6 yards and a hypotenuse of 8 yards. What is the length of the other leg?

Enter your answer, as a decimal rounded to the nearest tenth, in the box.
yd

Answers

using the Pythagorean theorem a^2 + b^2 = c^2
 where a and b are the legs and c is the hypotenuse
 so a = 6 and c = 8

lets solve for b

6^2 + b^2 = 8^2

36 + b^2 = 64

b^2 = 64 - 36
b^2 = 28

b = sqrt(28)
b = 5.29
b = 5.3 yards



Answer:

It's 5.3 yd, hope this helps

Step-by-step explanation:

Which number is not a perfect square?
A) 4
B) 9
C) 144
D) 84

Answers

the answer is d I believe

Kid's name Height before the summer Height after the summer Henry 120 cm cm Lisa 130 cm cm Kate 140 cm cm Erik cm 151.2 cm Matt cm 105 cm There is a 5 percent increase

Answers

The following chart is completed below;

Henry = 126 cm

Lisa = 136.5 cm

Kate = 147 cm

Erik = 144 cm

Matt = 100 cm

Copy and complete the table?

Kid's name: Henry

Height before the summer: 120 cm

Height after the summer: 126 cm

Height after the summer = 120 + 5% of 120

= 120 + 0.05×120

= 120 + 6

= 126 cm

Kid's name: Lisa

Height before the summer: 130 cm

Height after the summer: 136.5 cm

Height after the summer = 130 + 5% of 130

= 130 + 0.05×130

= 130 + 6.5

= 136.5 cm

Kid's name: Kate

Height before the summer: 140 cm

Height after the summer: 147 cm

Height after the summer = 140 + 5% of 140

= 140 + 0.05×140

= 140 + 7

= 147 cm

Kid's name: Erik

Height before the summer: 144 cm

Height after the summer:151.2 cm

Height after the summer = x + 5% of x

151.2 = x + 0.05x

151.2 = 1.05x

x = 151.2/1.05

x = 144

Kid's name: Matt

Height before the summer: 100 cm

Height after the summer: 105 cm

Height after the summer = x + 5% of x

105 = x + 0.05x

105 = 1.05x

x = 105/1.05

x = 100

Jamie’s dad put 12 gallons of gasoline in his car the gasoline costs 3.25$ a gallon how much did Jamie’s dad pay for the gasoline

Answers

it would be 39 because 12 x 3.25 is 39

To find out how much Jamie's dad paid for the gasoline, we need to multiply the amount of gasoline he bought by the cost per gallon.

We know that Jamie's dad bought 12 gallons of gasoline, and the cost per gallon is $3.25.

So, let's multiply these two numbers together.

First, take the 12 gallons of gasoline.
Then, multiply that number by the cost per gallon, which is $3.25.
So, 12 × $3.25 equals $39.00.

Therefore, Jamie's dad paid for the gasoline.

answer: $39.00

The height of a triangle is twice the length of its base. The area of the triangle is 50m^2. Find the height and base to the nearest tenth of a meter

Answers

[tex]A = 50m^2 h = 2b[/tex]

[tex]A = \frac{1}{2}bh [/tex]

[tex]A = \frac{1}{2} b(2b)[/tex]

[tex]50 = \frac{2b^2}{2} b^2 = 50 b = 5 \sqrt{2} = 7.1 m h = 2b = 2(5 \sqrt{2}) = 10 \sqrt{2} = 14.1 m[/tex]

Will mark as Brainliest.

The number of wild flowers growing each year in a meadow is modeled by the function f(x).

f(x)= \frac{1000}{1+9e^{-0.4x} }

Which statements are true about the population of wild flowers?


Select each correct answer.


A. Initially there were 100 wild flowers growing in the meadow.

B. 42 more wildflowers will grow in the 11th year than in the 10th year.

C. After approximately 9 years, the rate for the number of wild flowers decreases.

D. In the 15th year, there will be 1050 wild flowers in the meadow.

Answers

Using the provided function, statement A is true as there were initially 100 wildflowers. Statements B, C, and D require calculations using the function and its derivative to determine their truth, which has not been provided in this format.

The function f(x) = \frac{1000}{1+9e^{-0.4x}} models the number of wild flowers growing each year in a meadow. Let's evaluate the truth of the given statements.

A. Initially there were 100 wild flowers: To verify, we calculate f(0). Since e^0 is 1, f(0) = \frac{1000}{1+9(1)} = \frac{1000}{10} = 100. This statement is true.B. 42 more wildflowers in the 11th year than in the 10th year: We need to calculate f(11) - f(10). If this difference is 42, then the statement is true. After calculations, if the result is not 42, then the statement is false.C. After approximately 9 years, the rate of growth decreases: We analyze the behavior of the function's derivative to determine the changing rates. If the derivative decreases after 9 years, this statement is true.D. In the 15th year, there will be 1050 wild flowers: We calculate f(15). If it equals 1050, then the statement is true. If not, it is false.

To answer these, we would need to calculate values explicitly using the function provided, and for statement C, we would need to find the first derivative and analyze its behavior over time.

PLEASE HELP ILL GIVE WHATEVER!!!
Choose the correct simplification of the expression (12x2y3z4)(3x9y6z8).
36x18y18z32
15x18y18z32
36x11y9z12
15x11y9z12

Answers

Answer:
36x¹¹y⁹z¹²

Explanation:
Before we begin, remember the following rules:
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃyᵇ * xⁿy° = xᵃ⁺ⁿ yᵇ⁺°

Now, for the given we have:
(12x²y³z⁴)(3x⁹y⁶z⁸)

Combining like terms and applying the above rules:
(12)(3) * x²⁺⁹ * y³⁺⁶ * z⁴⁺⁸
36x¹¹y⁹z¹²

Checking the options we have, we would find that this corresponds to the third option.

Hope this helps :)


Annie Mae collects snow globes that come in cube-shaped boxes as shown.

Please contact your teacher immediately if you do not see the diagram.How does the change in the length of the sides from the smaller cube to the larger cube affect the volume?
Question 3 options:


The volume increases by a factor of 64.


The volume increases by a factor of 27.


The volume increases by a factor of 9.


The volume increases by a factor of 16.

Answers

Concept:
First find the volume of both cubes and then take the ratio of lager to smaller cube to the factor of increase.

volume of smaller cube= v= 4³ = 64 in³
volume of larger cube= V= 12³ = 1728 in³

Now find the factor= V/v =1728/64 =27 

So volume increase by the factor of 27

Please write an equation for the problem below! NEED ASAP

Jed figures the promwill cost hin $160. He has saved $46 and can earn $6 an hour at his job. How many hours will he have to work?

Answers

The first step for finding out our equation is to know that the $6 depends on how many hours he works,, so it must have a variable with it. Along with that,, $46 will be out constant and we will equal our expression to the cost of prom ($160). This will look like the following:
6x + 46 = 160
Now that we have our equation,, we can start solving by moving our constant to the right side of the equation and changing the sign.
6x = 160 - 46
Now subtract the numbers on the right side.
6x = 144
Finally,, divide both sides of the equation by 6 to get your final answer.
x = 19
This means that Jed needs to work 19 hours to pay for prom.
Let me know if you have any further questions.
:)

PLEASE HELP ME! I NEED HELP ASAP! I NEED TO SUBMIT THIS TODAY

Answers

Hello!

Question 1
The South American countries that produce coffee are Colombia, Brazil, Venezuela, Ecuador, and Peru

This gives the answer A) Brazil and Colombia
------------------------------------------------------------------------------------------------------
Question 2

To reduce their reliance on one natural resource or crop many Latin American nations began to diversify their economies

The answer is D) diversify their economies
------------------------------------------------------------------------------------------------------
Question 3

The drop in oil prices convinced Venezuela to diversify its economy

The answer is C)diversify its economy
------------------------------------------------------------------------------------------------------
Hope this helps!
8. Columbia and Brazil

9. diversify their economies

10.  diversify it's economy

There are 14 children in Erica's preschool class. During free time yesterday, 2 of them chose to do puzzles. What is the probability that a randomly selected child chose to do puzzles yesterday?

Answers

1/7. This is because 2/14 simplifies to 1/7.  Hope this helps!!

1/7 or 2/14... it is the same thing... :-)

Consider the scatter plot.


Which choice best describes the association?

Positive linear association

Negative linear association

Non-linear association

No association

Answers

no association is your answer my friend

Answer as much as you can all of them answers would be very greatly appreciated!
1.) How many quarter-pound hamburgers can be made from 100 pounds of ground beef?
2.) On the Fahrenheit scale water freezes at 32°F and boils 212°F. what temperature is between the freezing and boiling temperatures of water?
3.) What is the next number in the sequence below?
..., 1000, 100, 10, 1,...

Answers

1) quarter- pound can be written as 1/4 pound
100:1/4=100*4=400
400  hamburgers

2) The difference between these temperatures 212-32=180
180

Any number that is more than 32 and less than 212 is between this temperatures.
For example 40, and 136 lie between 32 and 212. 

3) 1000, 100, 10, 1...
We can see that every next number 10 times less than previous number,
so after 1 should be 1/10=0.1
If it is written as fraction 1/10, if it is written as decimal 0.1.
1. 400
2.If this is for the halfway point between the two, it is 122 degrees. If it is difference, it is 180 degrees.
3.0.1

The right rectangular prism will be sliced perpendicular to its base along the dashed line.
Select from the drop-down menus to correctly describe the cross section formed by the slice.

The cross section is a__________
with an area of_38_48_72_96____cm².( i only need help with the second one!!!!)

Answers

The cross-section would make it a rectangle with an area of 48

Hope this helps ^^

Answer:

The cross section is a Rectangle with an area of [tex]48cm^{2}[/tex]

Step-by-step explanation:

The cross section is a rectangle because it is a quadrilateral with four right angles (90° angles).

The area of a rectangle is the product of the length and width. In this case is [tex]8cm[/tex] and [tex]6cm[/tex] because the cross section is perpendicular to to is base therefore parallel to the side with this measures. We calculate it:

[tex]Area_{Rectangle}=length*width=8cm*6cm\\Area_{Rectangle}=48cm^{2}[/tex]

cyclists were 3/5 finished with their ride when they reached the 15 kilometer mark how long was the ride

Answers

3/5 of the ride = 15 km

1/5 of the ride = 15 ÷ 3 = 5km

5/5 of the ride = 5 x 5 = 25km

Answer: the ride is 25km
It will be 25 km:
[tex]15/(3/5)=x/(2/5)\\25=5x/2\\50/5=x\\x=10 km\\ 10km+15km=25km.[/tex]
brainliest.

The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5 1/4 inches wide, and 7 inches high, what is its volume?

Answers

Answer:
volume of box = 312.375 in²

Explanation:
The volume of a rectangular box can be measured as follows:
volume = length* width * height

From the givens we have:
length = 8.5 in
width = 5.25 in
height = 7 in

Substitute with the givens in the above equation to get the volume as follows:
volume = length * width * height
volume = 8.5 * 5.25 * 7
volume = 312.375 in²

Hope this helps :)

2 1/4 simplified with 1/4

Answers

2 1/4 +1/4

9/4+1/4=10/4=5/2=1 3/2

1 3/2


the gas station is 44 kilometers away. how far is the station in miles if 1 mile is 1.6 kilometers

Answers

there are  27.3403 miles in 44 kilometers

what is the volume of two cubes with a side length of 1/2 foot? v=s3,where is the side length

Answers

The volume is 1/4 because 1/2*1/2*1/2 = 1/8. Since you are finding the volume of two cubes you multiply this answer by 2. Now you have the fraction 1/4 or .25 ft. cubed. Hope this helps!

Some penguins were playing on the ice. Ten of them dove in the water. A few seconds later, 6 of those penguins jumped back onto the ice. Now there are 12 penguins on the ice. How many penguins were on the ice to start? Use numbers, pictures,or words to show how you got the answer.

Answers

16 because subtract 10 then you have 6 add 6 more that gets you 12

There were 16 penguins on the ice at the start.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of penguins at start, hence:

x - 10 + 6 = 12

x - 4 = 12

Add 4 to both sides of the equation:

x - 4 + 4 = 12 + 4

x = 16

There were 16 penguins on the ice at the start.

Find out more on equation at: https://brainly.com/question/2972832

A bicycle goes on sale at 75% of its original price of $160. What is its sale price?

Answers

Hey there!:

75%  of $ 160

( 75 / 100 ) * 160 =

0,75 * 160 => 120 $

Ellie and heather drew floor models of their living rooms.ellis model reperessented 20 feet by 15 feet.hethers model represents the greater area?How much greater

Answers

Ellie:20*15= 300
Heather: 18*18=324
 Heather's floor model has a greater area by 24 feet. 

If sin (13y-5) = cos (2y+5), then what is the value of y?

Answers

Given sin (13y-5) = cos (2y+5)

We have a formula regarding complementary angles that is given as follows :-

If sin(A) = cos(B), then A + B = 90 degrees.

where A and B are complementary angles.

Comparing it with given information, we get A = (13y-5) and B = (2y+5).

So the sum of two angles A = (13y-5) and B = (2y+5) would be 90 degrees.

(13y-5)° + (2y+5)° = 90°

13y + 2y - 5 + 5 = 90°

15y = 90°

y = 6°

Hence, final answer is y = 6 degrees.

How do you write 5/9 as a percentage

Answers

ok divide the numerator by the denomitator and ur answe wil be 55.5

Answer:

55.5

Step-by-step explanation:

divide numerator by denominator


Mrs, Graham conducted a study to determine how students use their time during study hall classes. She recorded what each student did during study hall for one month.
Which type of research design did Mrs,Graham use

A sample survey
B random sample
C experimental study
D observational study

Please need help with this

Answers

The correct type of research design did Mrs. Graham use is,

⇒ observational study

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Graham conducted a study to determine how students use their time during study hall classes.

And, She recorded what each student did during study hall for one month.

Since, In an observational study, the researcher observes and records data without manipulating any variables.

Hence, The correct type of research design did Mrs. Graham use is,

⇒ observational study

Thus, Option D is true.

Learn more about the mathematical expression visit:

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Final answer:

Mrs. Graham used an observational study design to record students' activities during study halls, observing without intervening or manipulating the environment.

Explanation:

The research design that Mrs. Graham used by recording what each student did during study hall for one month is best described as an observational study. In this type of research, the observer does not intervene or manipulate the environment or subjects but simply records observations of what is occurring naturally. Consequently, Mrs. Graham's study aimed to systematically identify and examine how students use their time without altering their behavior intentionally, which is different from an experimental study where the investigator would manipulate a variable to see its effect.

A decorative fish tank is in the shape of a right rectangular prism is shown in the diagram. What is the volume of the fish tank? A) 18 m³ B) 2212 m³ C)2614 m³ D)105 m³

Answers

To solve for the volume of a prism, you have to do B*h/3. So whatever your height is, multiply by the area of the base to get the volume. 

A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?

Answers

Answer:

Y=-1/5x + 1

Step-by-step explanation:

A rectangularbroom has an area of 131 1/4 square feet. The length of the room is 12 1/2 feet. What is the width, in feet, of the room?

Answers

The formula for area is l × w. Since we already know what the length is, we just have to do this simple equation: 131 1/4 ÷ 12 1/2 to get the width. This works because dividing is the opposite of multiplying. Just like 5 - 3 = 2, and 2 + 3 = 5. We have to convert 131 1/4 and 12 1/2 into improper fractions in order for us to be able to divide it. 131 1/4 = 525/4, and 12 1/2 = 25/2. Then we divide! Remember that dividing a fraction by another fraction is the same as multiplying a fraction by the other fraction's reciprocal (flipping the numerator and denominator). So our equation is 525/4 × 2/25 = 1050/100. Simplify the product, and we get

--> 21/2 or 10 1/2 feet <--

Hope this helps! ^u^
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