1.
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
​f(n) = 12(1.04)n​

Part A: Is this a growth or decay exponential function? Justify your answer. (2 points)

Part B: What is the growth or decay percentage for this function? (2 points)

Part C: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part D: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?

Answers

Answer 1

Answer:

Exponential growth

4%

12

Step-by-step explanation:

Given the function :

​f(n) = 12(1.04)^n​

Part A: Is this a growth or decay exponential function?

The equation above is usually generally represented as :

F(n) = A(1 ± r)^n

Where F(n) = final amount after n years ; r = rate ; n = number of years

The function Given above is thus :

F(n) = 12(1 +0.04)^n

This is an exponential growth function because of the negative rate (+ 0.04)

Part B: What is the growth or decay percentage for this function

From the equation :

F(n) = A(1 + r)^n ; r = rate

Comparing F(n) = 12(1 +0.04)^n ; r = 0.04 = 0.04*100% = 4%

Part C: What does the y-intercept of the graph of the function f(n) represent?

The y intercept :

Value of F(n) when n = 0

F(n) = 12(1 +0.04)^n

F(n) = 12(1 +0.04)^0

Fn = 12(1)

Hence, intercept = 12


Related Questions

simplfy -3+7 ooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

Add -3 and 7. 4

Step-by-step explanation:

Uh ur welcome

Answer:

4

Step-by-step explanation:

I do it this way whenever there is a  - and a - I just add them but add negative sign. IF like in this problem - and a + I subtract...

Hope this helps :3

i need help me wit this

Answers

Answer:

C: (1, 2.5)

Step-by-step explanation:

The point is not exactly on 2 or 3 on the y axis. So it is at 2.5. and when you read a graph you need to look at it from x to y so it should be C: (1, 2.5).

What is the answer to 1/4x=2?

Answers

Answer: x=8

Step-by-step explanation: Solve for the x by simplifying both sides of the equation, then isolate the variable.

I hope this help you out!

Natalie and John are both saving coins in jars for a rainy day. Natalie currently has 1 1/8 jars of coins, and John has 9/14 of a jar of coins. If John gets all his coins to Natalie, how many jars of coins would she have all together?

Answers

Answer:

Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.

Step-by-step explanation:

Given that:

Coins Natalie have = [tex]1\frac{1}{8}[/tex] jars of coins

Coins John have = [tex]\frac{9}{14}[/tex] jars of coins

When John will give all his coins to Natalie.

Total coins Natalie have = Her coins + John's coins

Total coins Natalie have = [tex]1\frac{1}{8}+\frac{9}{14}[/tex]

Total coins = [tex]\frac{9}{8}+\frac{9}{14}[/tex]

Total coins =[tex]\frac{63+36}{56}=\frac{99}{56}[/tex]

Total coins = [tex]1\frac{43}{56}[/tex]

Hence,

Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.

Find all possible values of b such that 4x^2+bx+3 can be factored?

Answers

Answer:13,7,8 but if there’s an answer choice go with 7,8

Step-by-step explanation: Assuming b is an integer, we first look at factors of 4, being 1 and 4 or 2 and 2. The factors of 3 are 1 and 3 only. So the factorisation possibilities are (x+3)(4x+1), (4x+3)(x+1) and (2x+1)(2x+3).

Expanding these we get: 4x²+13x+3, 4x²+7x+3 and 4x²+8x+3, giving values of b=13, 7 and 8

The possible values of b in the given polynomial are 7, 8 or 13.

What is a polynomial?

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer powers of variables.

Given is a polynomial, 4x²+bx+3, we need to find all possible values of b such that 4x²+bx+3 can be factored.

4x²+bx+3

4×3=2×2×3

2×2×3 = 2×6 and 2+6 = 8

2×2×3 = 4×3 and 4+3 = 7

2×2×3 = 12×1 and 12+1 = 13

b=7, b=8, and b=13

4x²+7x+3 = (4x+3) (x+1)

4x²+8x+3 = (2x+1) (2x+3)

4x²+13x+3 = (4x+1) (x+3)

Hence, the possible values of b in the given polynomial are 7, 8 or 13.

Learn more about polynomial click;

https://brainly.com/question/11536910

#SPJ2

pls help i will give 15 brainly points

Solve for 0​

Answers

Answer:

24.15°

Step-by-step explanation:

sinΦ = 18/44

Φ= 24.15°

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients. Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year? Choose 1 answer: Choose 1 answer: (Choice A) A 454545 (Choice B) B 241241241 (Choice C) C 275275275 (Choice D) D 467467

Answers

Answer:

A 454545 is the correct answer

Answer:

its 241

Step-by-step explanation:

i did it on khan

An online furniture store sells chairs for $200 each and tables for $750 each.
Every day, the store can ship a maximum of 16 pieces of furniture and must
sell at least $6000 worth of chairs and tables. If x represents the number of
tables sold and y represents the number of chairs sold, write and solve a
system of inequalities graphically and determine one possible solution.

Answers

So I hope this helps and is exactly what you are looking for

DON’T REPLY IF YOU DON’T WATCH THE DREAM SM








So this is a work in progress, sorry Fundy looks weird, this is their reaction to Tommy getting exiled- again

Answers

Answer:

it looks decent just give it make it more detailed otherwise it looks good

Answer:

your drawing is good but I can't understand your ques

Joshua chose a mystery number. His mystery number is a factor of 42. Which number could be Joshua's mystery number?
A). 5.
B). 3.
C). 4.
D). 9.

Answers

Answer:

c. 3

Step-by-step explanation:

5 can only have factors like 10, 15. 4 is not it because 4x10 is 40 and it cant be 42 and then 9x5 is 45. Your welcome. Pls mark brainliest :)

Write an expression equivalent to 4(6x + 12), and state the property you used to write it.

Answers

Answer:

4(6x) + 4(12) Used distributive property

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

4(6x) + 4(12) Used distributive property

Solve for x: one over four (4x + 15) = 24

Answers

Answer:

x = 81/4

Step-by-step explanation:

multiply both sides by 4

4x + 15 = 96

subtract 15 from both sides

4x = 81

divide both sides by 4

x= 81/4

i hope that's right

Answer:

81/4

Step-by-step explanation:

The new Virgo the Vampire Hunter novel is 540 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours who reads faster, Skyler or Ramon? How long will it take Ramon to read entire book if he continues to read at his current rate?

Answers

Answer:

Ramon, 16 hours

Step-by-step explanation:

HELP FIND X AND Y PLS

Answers

Answer:

X=56 Y=56

Step-by-step explanation:

Find the length and width of the frame

Answers

Answer:

The width is - 4 the lengeth is - 7

Step-by-step explanation:

w*l = 28in²

w = ?

l = w+3

w=2

2+3 = 5

5*2 = 10

w = 3

3+3 = 6

6*3 = 18

w = 4

4+3 = 7

7*4 = 28

So,

W = 4 L = 7

How many extraneous solutions does the equation below have?

fraction numerator 2 m over denominator 2 m plus 3 end fraction minus fraction numerator 2 m over denominator 2 m minus 3 end fraction equals 1

Answers

Answer:

Two extraneous solutions

Step-by-step explanation:

A cell phone plan costs $200 to start, then charges $50 per month to maintain the account. How much will you pay for x months of cell phone use?

How much money will you have paid (total) after 14 months of cell phone service?
NEED HELP ASAP DUUE AT 4:00 pm EST

Answers

Answer:

$900

Step-by-step explanation:

add 200 to 50 times 14

Answer:

900

Step-by-step explanation:

200+50(14)

200+700

900

Write an inequality for the graph.
The image is of a number line on which a line is drawn to the left of number -0.5 excluding it.

Answers

Answer:

hi .................

Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?​

Answers

Answer:

$240

Step-by-step explanation:

40 x 5 = 200

40 x 6 = 240                  (basically just adding forty dollars)

The relationship between a rubber band's length and the weight attached to it is a function. The more weight, the longer the rubber band will be. The increase of
the rubber band's length is called deflection Students in science class have measured how much a rubber band would stretch if different weights, in ounces,
were attached to it. They recorded the data collected in the experiment by constructing a graph:

Answers

Answer:

where is the question here n a graph ?????

4 water tanks can hold a total of 432.4 gallons of water. On average,
how much water can each tank hold?

Answers

Answer: 108.1 g

Step-by-step explanation:

432.4/4 = 108.1

Answer:

. umm whats the question

Step-by-step explanation:

I need help asap I will give you brainlest

Answers

Answer:

Y=2

Step-by-step explanation:

YW thanks!

It is y=x + 2 because as x increases y increases also

fasttt ans nthis plsssssssssssssssssssssss

Answers

The answer is 12.5. You take the average of the boys and the average of the girls add them and then divide.

The equation, y = 36/x, is an example of what kind of variation?
a.) direct variation
b.) inverse variation

Answers

Answer: Inverse variation

which linear function represent the table?​

Answers

Answer:

Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011

40 points!!!
PLEASE HELP I NEED IT RN!!​

Answers

Answer:

parallel lines never  intersect

perpendicular  lines intersect at a right angle

Step-by-step explanation:

Each week jake gets an allowance of $8 plus $3 for each chore he does at
home. His younger sister bella gets an allowance of $6 plus $2 per each chore
she does. Write an expression for how much their parents give them each week if
they do the same number of chores.

Answers

Answer:

y = 5x + 14

Step-by-step explanation:

y represents the total money their parents give them. X represents the number of chores. 5 is the sum of 3 + 2 since Jack gets $3 for each chode while Bella gets $2 for each chore. 14 is the set amount of money the receive each week since 8 + 6 is 14.

Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations

Answers

Answer: Let's solve for x.

−x−y=6

Step 1: Add y to both sides.

−x−y+y=6+y

−x=y+6

Step 2: Divide both sides by -1.

−x

−1

=

y+6

−1

x=−y−6

Answer:

x=−y−6

Let's solve for x.

5x−7y=66

Step 1: Add 7y to both sides.

5x−7y+7y=66+7y

5x=7y+66

Step 2: Divide both sides by 5.

5x

5

=

7y+66

5

x=

7

5

y+

66

5

Answer:

x=

7

5

y+

66

5

Step-by-step explanation:

Does anyone know the answer

Answers

Answer:

the answer is d

Step-by-step explanation:

For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30

the answer is d sorry if i am late !

Please help me due tomorrow morning

Answers

Answer: Y=-5

Step-by-step explanation:

The reason is because if you look down the y axis from the origin you can see the location where the line crosses over the y axis in this case it was at (0,-5)

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