Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.

Which Of The Following Scenarios Is The Best Fit For The Graph?A. The Value Of A $100 Stock Grows In

Answers

Answer 1

Answer: A

Step-by-step explanation:

Answer 2

The correct option is A.

What is an exponential function?

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Related Questions

How do you solve b^2=-3b

Answers

Answer:

b=0,-3

Step-by-step explanation:

b^2+3b=0

b(b+3)=0

b=0

b+3=0

b=-3

Answer:

b = 0 OR b = -3

Step-by-step explanation:

To start off with, we know that this must be a quadratic equation because there's a "^2".

Firstly, we have to bring everything over to one side of the equation. This means we have to add 3b to both sides, as we want the right-hand side to be 0.

b^2 = -3b

+3b   +3b

b^2 + 3b = 0

Secondly, we have to factorise. We need to see what number goes into both "b^2" AND "3b".

That is "b".

b^2 + 3b = 0

factor out b

b(b + 3) = 0

Thirdly, we have to use the Null Factor Law to find out what b equals. The Null  Factor Law states that if an equation equals 0, then one of the terms must either be 0, or the negative of the other number.

Hence, there are two answers.

b = 0

OR

b = -3

use the formula c=d and = to find the diameter of this circle whose circumference equals 172.7cm​

Answers

Answer:

55cm

Step-by-step explanation:

Three corners of a rectangular dog park are located at the following coordinates: (–2, –1), (–2, 3), and (5, 3).

What is the total length of the fencing that is needed to go AROUND the dog park?

Answers

Answer:

22 units

Step-by-step explanation:

Shaylee is determining if 6 is the solution to the equation.

Answers

Answer:

please give me brainlist and follow

Step-by-step explanation:

42 ÷ w = 7 for w = 6. First, Shaylee must substitute ( ) for ( ). To simplify, Shaylee must divide ( ) by ( ) .

I need help please and thanks

Answers

Answer:

hi

Step-by-step explanation:

[tex] {12}^{2} + {x}^{2} = {14}^{2} \\ 144 + {x}^{2} = 196 \\ {x }^{2} = 196 - 144 \\ {x}^{2} = 52 \\ x = 2 \sqrt{13} [/tex]

i think so

hope it helps

have a nice day

HELP ME PLEASE plsssssss

Answers

Answer:

220i

Step-by-step explanation:

v=length×width×height

459,450,441, find the 37th term

Answers

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

Uh please help me, I need a step by step answer.

Answers

Answer:

B 1296

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height

3 sides are rectangles with the measurements of (9mm by 21mm)

So 3(9 × 21) = 567mm^2

6 sides are rectangles with the measurements of (9mm by 9mm)

So 6(9 × 9) = 486mm^2

1 side is a rectangle with the measurements of (9mm by 15mm)

So (9 × 15) = 135mm^2

2 sides are triangles with unknown, but equal bases.

To calculate the base, you subtract 9 from 21:   21 - 9 = 12mm

Therefore the base = 12mm

The other measurement can be found by looking to the left of the triangle (9mm from the side)

So   2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2

Add the sides up:

567 + 486 + 135 + 108 = 1296 mm^2

There are 1,024 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

A: f(x)=1,024(1.50)x
B: f(x)=1,024(0.50)x
C: f(x)=1,024(1.05)x
D: f(x)=1,024(0.05)x

Answers

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

i just took the test :)

What is the point-slope form

Answers

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples. Created by Sal Khan.

Step-by-step explanation:

pls give me brainless

30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?

Answers

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

67 people are running a race. How many different ways can there be a 1st, 2nd, and 3rd place winner?

Answers

Probably by gender and age. Different age groups get first second and third.

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

V = 40

Step-by-step explanation:

Volume of a Pyramid:

V = 1/3bh

Given:

b = 10

h = 12

Work:

V = 1/3bh

V = 1/3(10)(12)

V = 40

Parallelogram FIRE

Given:
[tex]fi = (3x - 5) \: cm[/tex]
[tex]ir = (2y - 7) \: cm[/tex]
[tex]re = (x + 7) \: cm[/tex]
[tex]ef = (y + 3) \: cm[/tex]
a. What is the value of x?
b. How long is FI?
c. What is the value of y?
d. How long is EF?
e. From your answers in b and d, what is the perimeter of parallelogram FIRE?

Answers

Answer:

See the solutions below

Step-by-step explanation:

First note that the opposite side of a parallelogram are equal, hence;

For Parallelogram FIRE

fi = re

ef = ir

Given

fi = (3x-5)cm

ir = (2y -7)cm

re = (x+7)cm

ef = (y+3)cm\

a) If fi = re, then;

3x - 5 = x+7

3x - x = 7+5

2x = 12

x = 12/2

x = 6

b) Since FI = 3x - 5

FI = 3(6) - 5

FI = 18 - 5

FI = 13cm

c) Also ef = ir

y+3 = 2y - 7

y - 2y = -7-3

-y = -10

y = 10

d) EF = y+3

EF = 10 +3

EF =13cm

e) Perimeter of the parallelogram = FI + IR + RE + EF

Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm

Perimeter of the parallelogram = 52cm

Somebody help me out real fast

Answers

I think it’s the last one

WILL MARK BRAINLIEST.

Answers

Answer:

y is 6 times x for the first set

not proportional for the next

Step-by-step explanation:

it’s what the expert said

PLS HELPP!
In the diagram, PQ←→ ∥ RS←→
, and transversal t
intersects both lines.

Select all the true statements.

∡1 ≅ ∡4
because they are vertical angles

∡1 ≅ ∡8
because they are alternate exterior angles

∡1 ≅ ∡5
because they are corresponding angles

∡1 ≅ ∡3
because they are alternate interior angles

Answers

Answer: First three is correct. Angle 1 = Angle 3 is incorrect.

What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?

Answers

Answer:

A

Step-by-step explanation:

The density of the pyramid is approximately 0.57 grams per cubic centimeter.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

To find the density of the pyramid, we need to know its volume as well as its mass.

The volume of a pyramid is given by:

V = (1/3) × base area × height

The base of the pyramid is a rectangle with dimensions 5 cm by 7 cm, so its area is:

A = 5 cm × 7 cm

= 35 cm²

Using the formula for the volume of a pyramid, we have:

V = (1/3) × A× h

V = (1/3) × 35 cm² × 9 cm

V = 105 cm³

Now we can calculate the density:

density = mass / volume

Since the mass of the pyramid is given as 60 grams, we have:

density = 60 g / 105 cm³

To get the density in units of grams per cubic centimeter, we need to convert the units of mass and volume to grams and cubic centimeters, respectively:

density = (60 g / 1000) / (105 cm³ / 1000)

density = 0.57 g/cm³

Therefore, the density of the pyramid is approximately 0.57 grams per cubic centimeter.

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(HURRY) A tank is filled with 100 gallons of water. The volume of water decreases by 10 gallons every hour.
Which equation represents this situation if V represents the volume of water left in the tank in gallons and represents the time in hours?

Answers

Answer:

100 - 10x = v

Step-by-step explanation:

Plan-

100 gallons of water to startthen -10 gallons per hourfind v

Steps

[tex]100-10x[/tex] = V

(x repersents the hours)

guys i need help with this math question anyone help plzz???

Answers

Answer:

Dan made more money last month

Step-by-step explanation:

15/100  10/100 Make into decimal's and Dan's is still higher

A circle has a radius of 8.25 feet. To the nearest square foot, what is the area of the circle?
Use the on-screen keyboard to type the correct response in the box below.

Answers

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

No links GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
9

Answers

Answer:

16.

solution:

perimeter = 64

4l = 64

l= 64/4

l=16

Answer:

Step-by-step explanation:

since it's a square we know the 4 sides are the same length.

64 / 4  =  16  

so each side is 16.... now use pythagoras to solve for GE since we know the two legs of the triangle  .. both 16

16^2 + 16^2 = GE^2

512 = GE^2

[tex]\sqrt{512}[/tex] = GE

22.627417 = GE

GE = 22.6  ( rounded to nearest 10th )

if the perimeter of an equilateral triangle is 54 in, what is the area? step by step

Answers

Answer:

A≈140.3in²

Step-by-step explanation:

A=3 /4a^2

P=3a

If a=5 and b=-3, what is the value of 2ab-b2?
A. -262
B.-259
C.-39
D.-21

Answers

Have you tried photomath?

Answer:

I get 24...... ....... .......

Find the value of the missing angle x.
85
68

Answers

Answer:

hey so the angles in a triangle add up to 180°.

take your given angles away from that to find your 3rd angle

180-68-85-27°

angles on a straight line also add up to 180°

so you need to take 27 from 180 to find your answer

180-27=153°

how can the volume of a sphere be found?​

Answers

Answer:

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.

Step-by-step explanation:

plz can i get brainliest

Rachel is driving at 48mph. She sees an accident directly ahead of her about 200 feet away. Will she be able to stop in time?

Answers

No she will not be able to stop in time and she probably shouldn’t be drinking that fast lol

On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.


How many of these 250 customers made additional purchase?



























im doing a test

Answers

Answer: 180 people

I hope i helped you! I wish you luck on the test!

which of. the following events are dependent
A)tossing a coin and selcting a card from a deck
B) tossing a coin tossing a second coin
C) picking a marble out the bag replacing it, and picking another marble
D) picking a candy out a bag eating it and picking another candy​

Answers

Answer:

i would say C picking a marble out the bag replacing it, and picking another marble

Step-by-step explanation:

What does x=6 match?

Answers

No slope so answer is C
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