A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.

Answers

Answer 1

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

[tex]H(t) = H(0)(1+r)^t[/tex]

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that [tex]H(0) = 4[/tex]

The tree grew continuously by 22% each year from that point.

This means that [tex]r = 0.22[/tex]

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

[tex]H(t) = H(0)(1+r)^t[/tex]

[tex]H(t) = 4(1+0.22)^t[/tex]

[tex]H(4) = 4(1.22)^t[/tex]

[tex]H(4) = 4(1.22)^8 = 19.63[/tex]

The height of the tree in 2020 was of 19.63 feet.


Related Questions

use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary. 25+5+1+… formula for a converging infinite series. a1 is the first term and r is the common ratio. 

Answers

Answer:

5x+12=-14=180

Step-by-step explanation:

sdvasdfasdfasdfawsdfasd

Answer:

the answer would be 31.25

Step-by-step explanation:

a1=25

r=.2

25/1-.2=31.25

3. Triangle JKL is the preimage. Write two algebraic
representations, one for the dilation to triangle I'K'L' and
one for the dilation to triangle J"K"L".
K
K
-241
J"
TL
HOMM Harcourt

Answers

Sjshhsiajshzjzjzjzjzhzuz8283

How do you find whether if it’s a monomial?

Answers

Answer:

When it is of the form axm a x m, where a a is a constant and m m is a whole number, it is called a monomial. Some examples of monomial are 8,−2x2,4y3, and11z7 8, − 2 x 2, 4 y 3, and 11 z 7. A monomial is a term of the form axm a x m, where a a is a constant and m m is a positive whole number.

Step-by-step explanation:

what s the slope of (20,-5) (5,4)

Answers

Answer:

( 0 , 1 ) ,  ( 1 , 0 )

( − 5 , 9 ) ,  ( 3 , 0 )

( 0 , 9 ) ,  ( 8 , 6 )

Step-by-step explanation:

The correct answer is m=-3/5

Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles
due north of Ocala. North is considered a positive direction and south is
considered a negative direction. What integer value would represent the
direction and the distance as Jose's traveled back home from Gainesville to
Ocala?
Pls help!!!!!!

Answers

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

A rectangle has an area of 93 square inches and a length of 15 inches. Find its perimeter

Answers

A= w l
P= 2(l+w)
so P= 42.4 in

Match the corresponding sides:

Answers

Answer:

EG=LN     NM=GF     LM=EF    

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (-8, -19)

Answers

Answer:

B.

[tex]y = \frac{19}{8} x[/tex]

Step-by-step explanation:

Our slope is Rise over Run. In this case begin at the point (-8,-19) and find how many units up (rise) and how many units over (run) you must travel to reach the next point of (0,0).

write a sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

Answers

Answer:2sin(8/3x)+3

Step-by-step explanation:

The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

What is midline?

"It is the horizontal center line about which the function oscillates above and below. "

What is amplitude?

"It is the distance between the highest point and midline."

What is time period?

"It is the length of one complete cycle of the curve."

What is vertical shift?

"It is the distance between midline and x-axis."

What is equation of sine graph?

"The generalized equation for a sine graph is as follows:

[tex]y = A~sin(B(x + C)) + D[/tex]

where, amplitude = A

period = 2π/B

phase shift = C

vertical shift = D"

For given function,

A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

A = 2

T = [tex]\frac{3\pi}{4}[/tex]

In this case, the midline is 3

⇒ D = 3

Using the generalized equation of sine function,

[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]

Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

Learn more about sine function here:

https://brainly.com/question/26369761

#SPJ2

what is 1 + 1 - 10 -50 -40 x 9877 -7000 + 500 - 600 X 564847584 -38339

Answers

Answer:

-338908990377

Step-by-step explanation:

that is the answer

Determine the value of y.
Question 14 options:


A)

4.8

B)

1.875

C)

13.3

D)

3

Answers

Answer:

18

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

i got it right on my work

What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 - 16 x2 - 8x + 16
x+5 2x +10

Answers

Answer:

D

Step-by-step explanation:

Evaluate the expression for n = 4.
3(n + 1) =

Answers

3(n+1)=
3(4+1=
15

Hope this helps!

Answer: Your answer is 15!

Step-by-step explanation: First, you have to do 4 + 1, equaling 5. Next, 5 x 3, which is 15.

If nuts cost $9.20 per pound, how much would 3 1/2 gallons cost?

Answers

Answer:

$32.20

Step-by-step explanation:

3 pounds are $27.60 and 1/2 a pound is half of $9.20.

So 3.5 gallons would be $32.20

Hope this helps!

32.20, 9.20x3 1/2....hope this helps

Does x+ y < -4 have a solution?

Answers

Answer:

infinite solutions :)

Step-by-step explanation:

infinity solutions, there is infininte possibilitys.

infinite solution hope this help

What is 2 15/16 as a decimal

Answers

Answer:

2.9375

2 15/16 as a decimal = 2.9375

2 15/16 in decimal form = 2.9375

Two and fifteen sixteenths as a decimal = 2.9375

2 and 15 over 16 as a decimal = 2.9375

Answer:

2.938

Step-by-step explanation:

Find the length of RS.

Answers

Answer:

If ET is 20 then DS should be 30 which makes RS 90

Step-by-step explanation:

Hope this helps. :)

How many milligrams are equal to 3.06 grams?

Answers

3060

Because you multiply the mass value by 1000

Answer:

1gm=100mg

3.06gm=306mg

Step-by-step explanation:

please give me brainlest and follow me on

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
person eats per day.
4
Fruit Servings
0
4
Vegetable Servings
Matt is one of the people surveyed. He is considered an outlier in this data.
Which statement describes Matt's data relative to the general pattern of the data?

Answers

Answer:b

Step-by-step explanation:

It b

The statement describes Matt's data relative to the general pattern of the data.option B is correct.

We have given that,

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each

A person eats per day.

 

 Fruit Servings                       Vegetable Servings

      4                                              0

        -                                              4

Matt is one of the people surveyed. He is considered an outlier in this data.

What is the scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

From the given scatter plot we can say that option B is correct.

To learn more about the scatter plot visit:

https://brainly.com/question/6592115

#SPJ2

1. What is the name of this solid figure?
2. How many faces does it have?
3. What is the shape of each face?
4. Draw a net of the figure.
5. How will we get the surface area of this
figure? Illustrate​

Answers

Answer:

1.cuboid

2. 6

3. rectangle

4.

5.

Helix
nou
How much of
angepay
(b)
A cylindrical column of fat has diameter 17.5cm and height 10cm. Calculate its density
if the column has a mass of 2kg.​

Answers

Answer:

Answer is

Step-by-step explanation:

plus karna h 17.5+ 10+ cm+ 2kg

Evaluate the expression.
20^2 + 6(9 + 3) = 274
RETRY

Answers

Answer:

False

Step-by-step explanation:

I'm pretty sure you're asking if the question is true or false and in this case, it is not true.

20^2+6(9+3)=274

evaluate power

400+6(9+3)=274

multiply numbers

400+72=274

add numbers

472=274

they are not the same number which means that statement wasn't true

A butterfly flew 743 cm, Then the butterfly flew another 567 cm end to go to a daisy.
How many meters did the butterfly travel?

Answers

Answer:

it 567+743

hope it works

Watch help video
Write two numbers that multiply to the value on top and add to the value on bottom.
30
11

Answers

33 22 is the answer spsjajazk I ibfs

Answer:

33 22 is the answer

Step-by-step explanation:

HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18

Answers

Answer:

[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]

opion. b

Answer:

b

Step-by-step explanation:

some one pls help!!!!

Answers

Answer:

I think the bottom right one...

Step-by-step explanation:

dont forget to heart and 5-star! =D

Look for what equals 27

In the diagram given below, △DEF∼△DGH, Find q

Answers

Answer:

q=3

Step-by-step explanation:

Can someone please help me I will mark u brilliant

Answers

Answer: 6.50 + 5.75n

Step-by-step explanation:

Answer:

6.50 + 5.75n

Step-by-step explanation:

because since it said let n equal the number of hours AFTER the FIRST hour.

(just have to read the question carefully)

What is the area of the triangle?
A. 35 cm
B. 35 cm2
C. 17.5 cm2
D. 17.5 cm

Answers

Answer:

C

Step-by-step explanation:

Area of the triangle is cm^2 which makes A and D not true.

Formula

Area = 1/2 * b  * h

b = 7

h = 5

Area = 1/2 * 7 * 5

Area = 1/2 35

Area = 17.5 cm^2

c on edge but sorry if it is wrong!

need help due friday

Answers

Answer:

C. f(x) = 40(1/4)^x

Step-by-step explanation:

Check all the options:

When x = 0

A. f(x) = 1/4(40)^x

f(x) = 1/4(40)^0

f(x) = 1/4(1)

f(x) = 1/4

When x = 0

B. f(x) = 1/2(40)^x

= 1/2(40)^0

= 1/2(1)

f(x) = 1/2

When x = 0

C. f(x) = 40(1/4)^x

= 40(1/4)^0

= 40(1)

= 40

When x = 0

D. f(x) = 4(1/3)^x

= 4(1/3)^0

= 4(1)

= 4

Other Questions
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! As wavelength decreases the frequency of a wave _______ When considering the equilibrium between copper(I) carbonate and its aqueous ions, what could be added to solution to promote the precipitation of copper(I) carbonate Which equation represents a transmutation? On January 1, 2022, Blue Company issued $3,400,000 face value, 7%, 10-year bonds at $3,650,227. This price resulted in a 6% effective-interest rate on the bonds. Blue uses the effective-interest method to amortize bond premium or discount. The bonds pay annual interest on each January 1. (a) Prepare the journal entries to record the following transactions. (Round answers to 0 decimal places, e.g. 125. Credit account titles are automatically indented when amount is entered. Do not indent manually.) 1. The issuance of the bonds on January 1, 2022. 2. Accrual of interest and amortization of the premium on December 31, 2022. 3. The payment of interest on January 1, 2023. 4. Accrual of interest and amortization of the premium on December 31, 2023. Luiza is writing this paragraph about Sudanese Slit Drum.In "Sudanese Slit Drum, Neil MacGregor traces the origins of a slit drum from Central Africa. He uses the drum to trace the Sudanese struggle for independence and to explain the battle that Kitcheners Anglo-Egyptian army fought against the Sudanese.Luizas paragraph can best be described as a(n)detailed description.informal viewpoint.objective summary.personal opinion. whoever gets this right will get a brainiest and a good rating After which major conflict was NATO formed ATCs are required to undergo periodic random drug testing.A simple, low-cost urine test is used for initial screening. It has been reported that this particular test has a sensitivity and specificity of 0.96 and 0.93. This means that if there is drug use, the test will detect it 96% of the time. If there is no drug use, the test will be negative 93% of the time.Based on historical results, the FAA reports that the probability of drug use at a given time is approximately 0.007 (this is called the prevalence of drug use).Draw a probability tree for the situation. (Use this order for the tree: Drug Use(yes/no) -> Test Result(+/-) -> Joint Probabilites)A positive test result puts the air traffic controllers job in jeopardy. What is the probability of a positive test result?Find the probability an air traffic control truly used drugs, given that the test is positive. PLEASE HELP ME!!!! I WILL MARK THE BRAINIEST TO WHOEVER ANSWERS THIS CORRECTLY!!!!!!!! THIS IS TIMED!!!!!!! PLEASE HELP ME!!!!!!!The question says:The annual profits for a company are given in the following table, where x represents the number of years since 2001, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected profit (in thousands of dollars) for 2012, rounded to the nearest thousand dollars. a) -4/5 b) -5/4c) 4/5d) 5/4 Find the sum of 7 and the opposite 4 + 2. plz someone help me I just guessed but what's the real answer, I need this asap Car = V-8 sedanYears driven = first and secondMiles driven = 15.500 miles first year and 14,500 miles second yearThe cost of depreciation will be $ The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line? WILL GIVE BRAINLY!!! What is the easiest branch of the government to a project on? I'm starting a project and don't know what branch to choose. If D E F is similar to A B C, what is the similarity ratio of Triangle D E F to triangle A B C? Triangles A B C and D E F. Side A B is 8, B C is 6, and A C is blank. Side D E is 12, E F is 9, and D F is blank. a. 3:2 c. 3:4 b. 2:3 d. 4:3 Please select the best answer from the choices provided A B C D Is 7 a factor of 34q+ 37r? PLEASE HELP ME WITH THIS PLEASE HELP Read the following excerpt and pay close attention to the words the author uses:With this faith, we will be able to hew out of the mountain of despair a stone of hope. With this faith, we will be able to transform the jangling discords of our nation into a beautiful symphony of brotherhood. With this faith, we will be able to work together, to pray together, to struggle together, to go to jail together, to stand up for freedom together, knowing that we will be free one day.In a paragraph of four to six sentences, identify three words or phrases with positive connotations and explain how these words influence the paragraph. Be sure to specifically answer the following questions in your response: What images or ideas are associated with each word? How do these words influence the meaning and tone of this passage? Use proper spelling and grammar in your response. (9 points)