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

or the figure shown on the​ right, find m∠3 and m∠4.

Answers

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

The measure of ∠3 is 96° and measure of ∠4 is 64°.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

In triangle,

Measure of first angle (m ∠1 ) = 43°

Measure of second angle (m ∠2) = 41°

Let measure of ∠4 = x degree

Now, Sum of all angles in a triangle be 180 degree.

So, We can formulate;

m∠1 + m∠2 + m∠3 = 180°

43° + 41° + x = 180°

84° + x = 180°

x = 180° - 84°

x = 96°

So, measure of ∠3 = 96°

Since, The measure of ∠3 and measure of ∠4 are supplementary angles.

Hence, We get;

m ∠3 + m ∠4 = 180°

96° + m ∠4 = 180°

m ∠4 = 180° - 96°

m ∠4 = 64°

Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.

Learn more about the supplementary angle visit:

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PLS help asap bt 1230 pt help thank you will brainliest

Answers

Answer:

85

Step-by-step explanation:

So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.

That is exactly what I though.

But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.

So, to find the angle of the trainge, lets take our 155 degree line.

Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:

180-155=missing angle

=

25. So we know that the smallest angle of the traingle is 25.

We also know that a traingle has a total of 180 degrees.

We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:

60+25

=

85

Now subtract it from 180:

180-85

=

95

So that last angle of the traingle is 95.

Now, we need to solve the missing angle of the line that will give us the answer.

Again, we know the line has to be 180, so lets subtract 95 from that:

180-95

=

85

So we know that the missing angle answer is 85!

I hope this isnt too confusing and helps! :)

Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.

Answers

The answer is r=-16sin0

Answer:

their graphed

Step-by-step explanation:

Use the graph of the exponential function to answer the following question.
1 x)
21
2
-2
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A. The range is all real numbers.
B. f(x) is positive for all x-values less than 1.
C. As x increases, f(x) approaches, but never reaches, -1.
D. The x-intercept is 2.

Answers

B. F(x) is positive for all x-values less than 1

Estimate: 5+81.65
HELP
PLEASE

Answers

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

Second Option

Step-by-step explanation:

[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)

[tex]PQ^2 =74[/tex]

[tex]PQ = \sqrt{74}[/tex]

Hyo spent $48.84 for a gold-plated trophy that costs $37 per pound. How much did the trophy weigh?​

Answers

The trophy weighed 1.32 pound. You have to divide 48.84(the initial amount) and 37 (the amount per pound).

Need help quick thank you in advance

Answers

Answer:

eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea

Step-by-step explanation:

#1

Solving for x only

[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair

[tex]\\ \sf\Rrightarrow x+145=180[/tex]

[tex]\\ \sf\Rrightarrow x=35°[/tex]

#2

[tex]\\ \sf\Rrightarrow x+32=90[/tex]

[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]

And

[tex]\\ \sf\Rrightarrow y+x=90°[/tex]

[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]

find the principle of money if intrest in 3 years with 5 percent per annum is rs 300​

Answers

Answer:

HI from Nepal

Answer:

let principal be x

interest =Rs300

time=3 years

rate=5%

To find principal use formula,

Interest=P*T*R/100

Rs300=x*3*5/100

Rs300*100=15x

Rs30000=15x

Rs30000/15=x

Rs2000=x

Step-by-step explanation:

therefore principal=Rs 2000

URGENT NEED HELP CLICK TO SEE

Answers

35
“Negative times a negative is a positive”

Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

Answer Plz if u got correct plz go to next reward question for 100 pints

Answers

Answer:

A) 1320 yeards

Step-by-step explanation:

.25 mile is 440 yards so js multiply by 3

Question 5 of 10
The chord BC is a diameter of OO.
A. True
B. False

Answers

Answer: it’s true i just did the quiz

Step-by-step explanation:

Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord is a line segment whose end points lies on the circle.

Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.

A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.

Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

To learn more on Circles click:

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help with Inscribed angles!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 30°

x = 80°

Step-by-step explanation:

Recall: an inscribed angle is half the measure of the intercepted arc

Thus:

x = ½(arc cb)

Substitute

x = ½(60)

x = 30°

x = ½(arc ab)

Substitute

x = ½(160)

x = 80°

Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?

Answers

Answer: A’ (1, 3)

Step-by-step explanation:

Reflecting in the y-axis will only reverse the x values

Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none

Answers

Answer:

Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3

7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~

Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz

A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median

A.2

B.4

C.9

D.10

Answers

Answer:

5.5

Step-by-step explanation:

We have a list of 10 numbers (n = 10) ordered from lower to higher.

1 2 3 4 5 6 7 8 9 10

The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,

median = 5 + 6 / 2 = 5.5

14. What is the length of a diagonal of rectangle EFGH? Show your work

Answers

Answer:

The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.

Step-by-step explanation:

Pythagorean theorem:

The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:

[tex]h^2 = a^2 + b^2[/tex]

Diagonal of a rectangle:

The diagonal is the hypothenuse, while the sides are a and b.

In this question:

The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]

The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]

Diagonal:

[tex]d^2 = a^2 + b^2[/tex]

[tex]d^2 = 3^2 + 7^2[/tex]

[tex]d^2 = 9 + 49[/tex]

[tex]d^2 = 58[/tex]

[tex]d = \sqrt{58}[/tex]

The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.

Mr. Harris had 35 players try out for the softball
team, but he cut some players from the team.
By the end of tryouts, the team still had more
than 25 players. (Use p as a variable.)

Answers

Answer:

35-P=25

Step-by-step explanation:

P= Number of players he cut

Find all exact solutions of the equation on the interval [0, 2π).

cosxtanx=cosx

Answers

Answer:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]\cos(x)\tan(x)=\cos(x)[/tex]

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]

Factor:

[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]

Zero Product Property:

[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]

Solve for each case:

[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]

3x + 7y = 21 –3x – 7y = 42
Solve the system of equations?

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

R.
A circle has a diameter of 6 inches.
Show your work to find the following (use
3.14 for pi):
A) Area of the circle
B) Circumference of the circle
FIND THE VALUES FOR ANGLES A, B, C,
CuOUL/CYPLAIN YOUR

Answers

Answer: A IS CORRECT

Step-by-step explanation:

A circle has a diameter of 10cm. Find the Area of this circle. Use 3.14 for Pi.

Answers

Step-by-step explanation:

to find area

A = Pi x r^2

r = d/2 = 10/2 = 5

how do i find parabola from a figure ( process )​

Answers

Step-by-step explanation:

The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)

We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.

 

 

Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:

Label a, b, and c.

Decide the direction of the paraola:

If a > 0 (positive) then the parabola opens upward.

If a < 0 (negative) then the parabola opens downward.

 

 

Find the x-intercepts:

Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.

Find the y-intercept:

The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).

 

 

Find the vertex (h,k):

To find the x-coordinate for the vertex we use the following formula:

To find the y-coordinate for the vertex we plug in h in the original equation:

k = a(h)2 + b(h) + c

Plot the points and graph the parabola  

-Please Mark As Brainliest

what is the probability of choosing a jack or an ace from a deck of cards type your anwser as a fraction

Answers

9/2 so the calculation would be 1/3

HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE

Answers

Answer:

b, c , a

Step-by-step explanation:

I am guessing

Answer:

B, C, D

Step-by-step explanation:

HELP!!!
WHO EVER HELPS ME FIRST GETS BRAINLEST!!!!How can decomposing a parallelogram and composing it as
another shape help in understanding the formula for the area of
a parallelogram?

Answers

You can compose, or create, a parallelogram (a four-sided shape with two sets of opposite, parallel sides) using two shapes, such as triangles or squares. You can decompose, or take apart, a parallelogram by dividing it from opposite corners, either vertically or horizontally.

Two squares were used to form a figure. The side length of each square is shown.
8 m
What is the area of the part of the figure that is NOT shaded?
F 80 m2
G 16 m
H8 m2
J 48 m²

Answers

Answer:

i think the area if shadded region is 16m

Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?

Answers

Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

Which of the following ordered pairs lies on the graph of y= tanx?

Answers

Answer: A/ first answer

Step-by-step explanation: it is that beacause it is paired to y=tanx  

A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%

Answers

Step-by-step explanation:

You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)
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