Which of the following represent an exponential growth function?

Which Of The Following Represent An Exponential Growth Function?

Answers

Answer 1

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]


Related Questions

need help pls answer it​

Answers

Answer:

1 5/6 or answer C

Step-by-step explanation:

First: Parenthesis  4/5-1/4 or 11/20x 1/2 is 11/40

Bottom: 1/2*4/5 is 2/5 - 1/4 which is 3/20

11/40 *20/3

11/6 or 1 5/6 which would be answer C.

Hope this helps!

Happy Holidays!

Answer:

C

Step-by-step explanation:

top 4/5-1/4 or 11/20x 1/2 = 11/40

bottom 1/2*4/5 is 2/5 - 1/4 = 3/20

Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole

Answers

Answer:

16 pieces of pizza when the pizza was whole.

Step-by-step explanation:

You know that 6 pieces are equal to 3/8 of the pizza.

Let x represent the total number of pieces and write an equation:

3

-- times x = 6

8

Multiply each side of the equation by 8:

8 times 3

            -- x = 8 times 6

            8

3x = 48

Divide each side of the equation by 3:

3x     48

---  =  ---

3        3

x = 16

2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.

Answers

Answer:

220 - a = m

Step-by-step explanation:

a is her age

Select the correct answer.


Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?

A.
point U
B.
point V
C.
point W
D.
point X

Answers

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

State the slope and the y-intercept for the graph of the equation. -x+y=4​

Answers

Answer:

Slope: 1

Y-intercept: (0,4)

Step-by-step explanation: I hope that helps!

I need to find the x pls help and show work

Answers

Answer:

Start giving more points

Step-by-step explanation:

plus i needed the points

Answer:

x=143

Step-by-step explanation:

deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143

Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8

Answers

Answer:

B. 6 7/10

Step-by-step explanation:

We solve the above y by carrying out addition.

The quarts of Lemonade she made is calculated as:

1 2/5 quarts of syrup + 5 3/10 quarts of water

= 1 + 5 + (2/5 + 3/10)

Lowest common denominator = 10

= 6 ( 4 + 3/10)

= 6 7/10 quarts of Lemonade

Mrs Olive made 6 7/10 quarts of Lemonade

Choose the correct answer and rationale. “The prices listed on retail websites...”
a.
...are open to negotiation, because you can email the company.
b.
...are reliable, because you have proof of the advertised price.
c.
...are unreliable, because internet commerce does not have the same regulations as normal commerce.
d.
...are often below the total cost, because they usually do not include shipping charges.

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

EDGE 2021

A line with a slope of -7 passes through the points (-8, 7) and (-7, k). What is the value of
K?

Answers

Answer:

k = 0

Step-by-step explanation:

On the graph, the second point would be at (-7,0)

Answer:

k = 0

Step-by-step explanation:

We can find the answer to this question by using the slope equation:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's define some variables:

[tex]\frac{k - 7}{-7-(-8)} = \frac{k-7}{1} = k- 7[/tex]

We know the slope is -7 so we can put k-7 equal to it and solve

[tex]k-7 = -7\\k = 0[/tex]

We find that k is equal to 0.

I hope this helps!!

- Kay :)

charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence

Answers

Sksisjjsjskakalalaljdjdh

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?

Answers

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Find the measure of each angle indicated. HELPPP PLEASE

Answers

Answer:

2

Step-by-step explanation:

Answer:

they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160

Step-by-step explanation:

please help i dont want to fail

Answers

Answer: -2.2

Step-by-step explanation:

Answer:

-3/5 which is the third line between 0 and -1 if you're going back from 0.

URGENT!!! HELP!!!!
Identify the graphed linear equation?

Answers

Answer:

C

Step-by-step explanation:

The first thing I notice is the slope, which is going down, which means this is for sure a negative slope. So any slopes that just include 5 is now crossed off.  And since the formula goes like y=mx+b, I believe the answer would be C, because it actually follows the formula as it should. If I'm wrong, pick D for sure.

Answer:

y=-5x-2

Step-by-step explanation:

I=$24, P=$400, T=2years

Answers

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?

choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble

Answers

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.

Answer:

c

Step-by-step explanation:

ALOT OF POINS MARKING AS BRAINLIST

Answers

chile anyways so hehhejjakwkw

Answer:

c

Step-by-step explanation:

ill give you brainliest for the correct answer

Answers

Answer:

An equation is 2.50x + 30 = 45

You purchased 6 movies

Charlie bought 2 3/4 pounds of pears for $0.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound. How much money in dollars and cents did charlie pay for the pears and grapes.

Answers

Answer

Charlie paid $5.94

Step-by-step explanation:

0.76x2 3/4=2.09

1.40x2.75=3.85

3.85+2.09=$5.94

The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?

Answers

Answer:

I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)

Step-by-step explanation:

(excuse my handwriting on the ss its hard to write on a computer lol)

hope this helps :)

anyone question 8 pleaseeeeeeeeeee

Answers

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b

Answers

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[tex] (x + 5)(x - 4)(x + 2) = [/tex]

[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]

[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

_________________________________

Compare :

[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]

[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]

Thus :

[tex]a = 3[/tex]

and

[tex]b = - 40[/tex]

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A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5

meters below sea level. ​How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)

Answers

Answer:

From his starting point of 85 3/4, he descended 17 9/20 meters

Step-by-step explanation:

We want to know how much farther he went down from his starting point.

103 1/5 - 85 3/4

S

tart off by making the denominators of both the numbers the same.

103 1/5 - 85 3/4

103 4/20 - 85 15/20

Make them into improper fractions

2064/20 - 1715/20 = 349/20

Make 349/20 into a mixed fraction

17 9/20

Carl Cornfield has been wondering whether he should plant white corn this year. He decides to sample 100 customers. 38% say they would purchase white corn. Carl wants to have a 95% confidence interval for this proportion.

The confidence interval is from 33% to 43% (to the nearest percent).

True
False

Answers

Answer:

true

Step-by-step explanation:

GMM
The numbers are
36
X
And 46 degrees

Answers

Answer:

45

Step-by-step explanation:

just had that q and sumbitted my quiziz and got it correct

Plz help fast and correct!!!! (I will report if answer is stupid!!!)

Answers

slope for both is 1/2
A.
Slope: 4/3
Y-int: 2
Equation: y = 4/3x + 2

B.
Slope: -1/3
Y-int: -1
Equation: y= -1/3x - 1

I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.

Answers

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x

is 12n+20 equivalent

Answers

Answer:

32

Step-by-step explanation:

can't find N

I can't figure this out :/

Answers

Answer:

I believe it is d because when you get to negatives they are always on the left side

Step-by-step explanation:

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