Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals

Answers

Answer 1

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5


Related Questions

What is the length of the hypotenuse of the triangle?

Answers

Answer:

Step-by-step explanation:

The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.

What is the equation of the line that passes through the point (5, -7) and has a
slope of o?

Answers

Answer:

y = -7

Step-by-step explanation:

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

y = 0x + b

-7 = 0(5) + b

-7 = b  

i need help solving the paint questions ​

Answers

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pulls the
stone out of the tank, the height of the water drops to 6 cm.
Find the volume of the stone. Be ready to explain the steps you took to solve the problem on the next slide (16).
What is the formula for VOLUME?
V
What is the VOLUME of the STONE? Remember to LABEL answer

Answers

Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)

Volume of the tank with the stone = 30*24*6 = 4,320 cm³

✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³

What is the longest iron rod which can be placed flat across the diagonal of a 4m by 2.5m garden shed floor

Answers

Answer:

4.7m

Step-by-step explanation:

the length of longest iron rod which can be placed flat across the diagonal of the garden shed can be determined using the Pythagoras theorem,

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = diagonal

4² + 2.5² = 22.25²

c =√22,25 = 4.7m

what kpop dances do you recommend to help you , lose weight?
My sister was asking but i didnt know how to answer her..

Answers

Answer:Wonder Girls-Like This. Perfect workout, especially for your inner thighs! ...

Sistar-Loving You. Another great leg workout. ...

Sistar-Touch My Body. Very fun and lighthearted. ...

Sistar19-Ma Boy. Same. ...

Secret-Madonna. I love this dance, it's a classic on my workout routine. ...

Secret-Love Is Move. ...

Hyuna-Bubble Pop. ...

Step-by-step explanation:

A pyramid with an equilateral-triangle base has a volume of 48sqrt{3} cm3 and a height of 16 cm. Find the length of each side of the equilateral triangle.
You get brainliest, i need answers fast.

Answers

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%

Answers

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

4w2 + 3W

- 1

5w - 2

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answers

Question:

A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

Answer:

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

Step-by-step explanation:

Given

[tex]Length = 4w^2 + 3w - 1[/tex]

[tex]Width = 5w - 2.[/tex]

Required

Determine an expression for the area

Area is calculated as:

[tex]Area = Length *Width[/tex]

[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]

Expand

[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]

Collect like terms

[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]

[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]

how to solve 6x+4+5X+2=12X-4 to solve for x


Answers

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer: x=2

6x+4+5x+2=12x-4

(6x+5x) (4+2) = 12x-4
11x+6=12x-4
-11 -11
6=x-4
-4
2=x

For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90

Answers

Answer:

38

Step-by-step explanation:

128 + angle G= 180

angle G = 180-128= 52

m+ 52 = 90 ( complementary angles)

m= 90-52= 38

What expression is equivalent to 4 + 2(3 + 5 exponent 2 - 6)?

Answers

Answer:

A. 48

Step-by-step explanation:

4 + 2(3 + 25 - 6) =

4 + 2(28 - 6) =

4 + 2 x 22 =

4 + 44 =

48

Hope that helps!

Given the data 12 ,39, 21, 18, 24, 17, 12, 25, what is the outlier
a12
b25
c39
d24​

Answers

C is the answer, 39 is the outlier

A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pool’s radius. She should have used 4 ft in the formula.

Answers

Answer:

she forgot to multiply the radius by 2 in the formula (B)

Step-by-step explanation:

i got it right :)

Answer:

B.

Step-by-step explanation:

Only correct, and relevant answers please :)

Answers

Answer:

Answer is A hope this helps :)

Step-by-step explanation:

Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.

Answers

Respuesta:

183x + 356y = 3763

Explicación paso a paso:

Dejar :

Número de kilos de papel = x; número de kilos de cartón = y

Kilo de papel = 183; kilo de cartón = 356

Cantidad total ganada = 3763

(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)

(183 * x) + (356 * y) = 3763

183x + 356y = 3763

Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?

Answers

Answer: Not rounded: 39.6 Rounded: 40

Step-by-step explanation:

For each equation, find a value for x that makes the equation true.

4x/3x=10/3

Answers

Answer:

No Solution

____________________________________________________________

An angle has a reference angle of 25° and its terminal side lies in Quadrant II. What are a possible positive measure and negative measure for the angle?

Answers

Answer:

155°,  -205°Positive measure : 155°Negative measure : -205°

Hope this helps out ! :D

The possible positive and negative measures are 155° and -205° respectively.

It is given that an angle has a reference angle of 25° and its terminal side lies in Quadrant II.

It is required to find the possible positive measure and negative measure for the angle.

What is the reference angle?

the angle between the terminal side of the angle and the x-axis.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

Thus, the possible positive measure and negative measures are 155° and -205° respectively.

Learn more about the reference angle here:

https://brainly.com/question/16210309

15.00 + 1.75x > 7.50 + 2.25

Answers

Answer:

Step-by-step explanation:

Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."





Which equation represents the situation? " A number decreased by 11 is equal to 48."




Which equation represents the situation? " A number decreased by 11 is equal to 48."





Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?

Let d = the amount that Drew has to save to help buy the gift.

Which equation can be used to solve the problem. Equation

How much money does Drew need to save so they could buy the gift?















Answers

A number decreased by 11 is equal to 48

x - 11 = 48

Lila and Drew:

18 + d = 30

To solve, subtract 18 from both sides of the equation. That gives you:

d = 12

Drew needs to save $12

Which to expressions are equivalent to 3.2 (4p + 8.5)?
3.2 (Ap) + 3.2(8.5)
7.2p+8.5
12.8p+ 27.2
15.7p
40p

Answers

Answer:

A and C

Step-by-step explanation:

A is equivalent to the expression because it just expanded the equation more a bit. It's distributed, but not solved. Like 3.2 (4p +8.5) is the same as 3.2 (4p) + 3.2 (8.5) since in both 3.2 is being distributed or multiplied by both numbers.

C is equivalent to the expression because it simplified the expression more. 3.2 times 4p is 12.8p. 3.2 times 8.5 is 27.2. The expression cannot be simplified.

Hope I helped! :)

On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?

Domain:

Range:

Answers

Answer:Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒  

Again, the equation of the line passing through the points (0,1) and (4,-1) is

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒  

Therefore, the function is defined as

for x ≤ 0 ........... (1) and  

for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

Step-by-step explanation:

Answer:

Sorry this is late but here:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2, and 3

Step-by-step explanation:

I just did it on edge :D

HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies

Answers

25% of the cookies :)

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Plz help!!!!!!!!!!!!!!!!

Answers

Answer:

b) 95

Step-by-step explanation:

equation:

3 x 30 + 5

solve:

3 x 30 + 5 = 95

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Answers

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144

Answers

Answer:

12285

Step-by-step explanation:

A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?

Answers

Answer:

1 1/2 tons per hour

Step-by-step explanation:

8 1/4 ÷ 5 1/2

The Williams family bought four concert tickets for $252. What was the price per
ticket?

Answers

Answer:

$63

Step-by-step explanation:

$252 ÷ 4 = $63

Answer:

Step-by-step explanation:

The family bought 4 tickets

The total cost is $252

So that means you have to divide $252 by the number

of tickets bought which is 4

$252÷4=$63

Answer: Each ticket cost $63

A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve to find out how many hours it took for the bus to arrive at its destination

Answers

Answer:747

Step-by-step explanation:

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