How is an exponential growth function of the form ​f(x)=a(1+r)^x related to an exponential function of the form ​f(x)=a*b^x?
A.
The value of a is the growth​ factor, and b is equal to the initial amount r.
B.
The value of a is the growth​ factor, and b is equal to the initial amount ​(1+​r).
C.
The value of a is the initial​ amount, and b is equal to the growth factor ​(1+​r).
D.
The value of a is the initial​ amount, and b is equal to the growth factor r.

Answers

Answer 1

The true statement is (c) the value of a is the initial​ amount, and b is equal to the growth factor ​(1+​r).

How to compare the functions?

The functions are given as:

f(x) = a(1 + r)^x

f(x) = a * b^x

An exponential growth function is represented as:

y = ab^x

Where

a represents the initial valueb represents the rate

By comparison:

b = 1 + r

Hence, the true statement is (c) the value of a is the initial​ amount, and b is equal to the growth factor ​(1+​r).

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Related Questions

A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family? (This is actually math)

Answers

Answer:

their are 4 sisters and 3 bothers

Write an equation for the situation: Tony wants to save $80 to buy a bike. He earns $16 a week babysitting. How many weeks will it take him to save for the bike?

Answers

Answer:

If she saves $11 each week, then in x weeks she will save 11x dollars. ... We want the amount saved to be equal to the price of the bike, so our equation is. 11x + 107 = 173. In a word problem, writing the equation is usually the hardest part. ... She saves 11 dollar per week to get the bike so the formula is:.

Step-by-step explanation:

Answer is 5 week, just divide 16 from 80, you’ll get 5! I hope this help! :)

A computer store buys a computer system at a cost of ​463.20$. The selling price was first at $772​, but then the store advertised 40% a markdown on the system.Find the current sale price.

Answers

Answer:
$243.6
Step-by-step explanation:
Markdown= Selling price × markdown rate
= 812×30%
=812×0.3
=243.6

The current sale price is if A computer store buys a computer system at a cost of ​$463.20. The selling price was first at $772​, but then the store advertised a 40% markdown on the system is $463.2.

What is the selling price?

The amount a buyer pays for a good or service is known as the selling price. It may differ based on the price that buyers are prepared to pay, the seller's acceptance threshold, and how competitive the price is in relation to those of other companies in the market.

Given:

The cost price = $463.20,

The initial selling price = $772,

We know that Markdown= Selling price × markdown rate

Markdown = 772 × 40%

Markdown = 772 × 0.4

Markdown = $308.8

So new selling price = The initial selling price - markdown price

Current selling price = 772 - 308.8

Current selling price = $463.2

Therefore, the current sale price is if A computer store buys a computer system at a cost of ​$463.20. The selling price was first at $772​, but then the store advertised a 40% markdown on the system is $463.2.

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can someone help please.

Answers

Answer:

its the green rectangle

Step-by-step explanation:

it has 5 by 2 which is 5 x 2 and 5 x 2 is 10 so it has an area of 10

The answers are A and C, or in other words the first and last one. Hope this helps please mark thanks :)

please help ill give brainliest ok so the open circle lines are like im pretty sure where u put it and what direction its like the number you put it on is not a solution so where do I put the line and what direction does it go in and which line do I put pleaseee helps theres like 2 more questions

Answers

Answer:

y ≤ 6

Step-by-step explanation:

First, let's simplify the inequality.

1/2y ≤ 3 (Given)

y ≤ 6 (Divide by 1/2)

You will need a shaded dot on the point positive 6 going to the left.

y is less than or equal to 6

Please answer if you know the answer.
Find x and give reasons.

Answers

the answer is 30 have a good day

what is the circumference of this circle? (Use C = [tex]\pi[/tex]d; [tex]\pi[/tex] = 3.14.)

giving 20 points to the person who answers! no need to show your work, thank you.

Answers

The answer is B, 31.4m
The correct answer is B

I'LL GIVE BRAINLIEST I REALLY NEED HELP WITH THESE QUESTIONS, DUE TODAY!

PLEASE WORK OUT I NEED TO SHOW MY WORK PLEASE WORK OUT PLEASSEEE!

1. A group of students went to the movie theater.


Eighteen of the students bought popcorn.

The other 60% of the students bought candy.

How many students were in the group?

2.There are 21,000 fans at a football game cheering for the home team. The other 40% of the total people in attendance are cheering for the away team. How many people are in attendance at the game?

3.Ashley sees a book bag on sale in a store for $22. This is 20% off the original price. What was the original price of the book bag?

Answers

1. 18 - 40% = 10.8

So the other 40% of students is 10 students. In total there are 28 students

2. 21,000 - 40% = 12,600

There are 33,600 people in attendance.


3. $26.40 is the original price

NUMBER 1

If 18 people is 40% that means the we need to start taking 40% off of numbers

40% of 20 is 12

40% of 25 is 15

40% of 30 is 18

So the answer is 30

NUMBER 2

If 21,000 people is 60% that means 20% is 7,000 people and 7,000x5=35,000 so there is a total of 35,000 people at the game

NUMBER 3

You should start taking 20% off of numbers.

20% of 25 is 20 too low so we need to go higher

20% of 26 is 20.8 still too low so lets keep going

20% of 27 is 21.60 closer but too low

20% of 28 is 22.40 which is too high lets go back since 27 is too low and 28 is too high lets start in between

20% of 27.5 is 22.00

So the answer is $27.5.

On a coordinate plane, lockers is 5 units to the left and 3.5 units up. Water fountain is 2.5 units to the left and 3 units up. Bleachers is 1.5 units to the right and 2 units up. Exit is 3 units to the left and 2.5 units down. Court is 2.5 units down. Office is 3.5 units to the right and 5 units down.
This coordinate plane shows the floor plan of the gym at Sunnydale High School. What is located at (–2.5, 3.0)?
bleachers
exit
lockers
water fountain

Answers

Answer:

it's d water fountain

Step-by-step explanation:

hope this helps edge 2021 Jan 08

Answer:

The answer is DDDD Have a good day :D

Step-by-step explanation:

hiiiiiiii please help and tysm =v=

Answers

the answer is (4) because it is showing that 4c is greater than -5c
The last one because 4c is greater than -5c, negative integers are less than positive ones

An equation is shown. What is the value of 12x that makes the equation true?


12x + 4x = 15/2 + 4x

pls halp

Answers

Answer:

x = 5/8

Step-by-step explanation:

How would i explain how i got my answer (my answer was 200, all the other numbers were already there)

Answers

Step-by-step explanation:

80 times 2 is 160

Therefore, 100 times 2 is 200

You multiply the denominator and numerator by the same number.

What is wrong with this equation 7/9-8/9=1/9

Answers

Answer:

the answer would be -1/9

because you're subtracting 8/9 from 7/9, not the other way around.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

7/9-8/9=1/9

We have a common denominator

( 7-8)        1

--------- =  ----

9                9

7 -8 is equal to -1  not 1

The answer should be -1/9  not 1/9

PLEASE HELP!!!!!!!!!!!!!!!!!!!1

Answers

the answer to this question is B
It would be B because it has a higher rate

finding the square units of triangle. how would i find this?

Answers

Answer:

616

Step-by-step explanation:

multiply them each number

Answer:

product of the base the and height divided by 2

14*4/11

=28

Step-by-step explanation:

A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown as the shaded region in the image). What is the area of the jogging path?

624 or 724 or 6,000 or 5,373

Answers

624 is the correct answer
624 will be youre answer to this question :)

help this is 7th grade mth

Answers

Answer:

y^8 goes to the last one

y^6 goes to the third one

y^5 goes to the second one

then the last one go to the first one

Answer:

(y)^-2 = 1/y^2, (y^3)^2 = y^6, y^8 -:- y^3 = y^5, and y^4 x y^4 = y^8

Step-by-step explanation:

When you divide y^8 -:- y^3, you subtract ^8-^3 = ^5, so its y^8 -:- y^3 = y^5

When you multiply y^4 x y^4, you add ^4 + ^4 = ^8, so it is y^4 x y^4 = y^8

When you multiply (y^3)^2, you multiply ^3 x ^2 = ^6, so its (y^3)^2 = y^6

And when you have a negative exponent,(^-2) you have to make it positive, so it would be y^-2 = 1/y^2

Can someone help me I’ll give “best answer”

Answers

Answer:

first 1 is x=5 second one is x=3 and third one is x=8

Step-by-step explanation:

Did this assignment before

I will mark best answer

Answers

Answer:

the ans is 5

Step-by-step explanation:

2j+5=3+2j+2 cancel equal terms which is 2j

so what we have left is

5=3+2

5=5

so 5 is the ans

Answer: infinity many solutions

Step-by-step explanation:

2j + 5 = 3 + 2j + 2

Combine numbers in the right side

2j + 5 = 2j + 5

Minus the smallest j from both side in this case u get rid of both j’s which mean -2j

5 = 5

Divide by 1 or -5

Which mean we get 5 = 5 or 0 = 0

A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price of the jacket before sales tax?

Answers

Answer:

72

Step-by-step explanation:

because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72

what does "a" equal in this problem? 8= 2^a

Answers

Answer:

3

Step-by-step explanation:

please answer asap When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression.

Answers

THe answer is in the image.

0.3(4x-8)-0.5(-2.4x+4) is simplified to

Suppose a wristband has a circumference of 7.5 inches. What is the radius of the wristband to the nearest hundredth of an inch?
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A.4.78 inches
B.1.19 inches
C.2.39 inches
D.23.55 inches

Hint: C = πd where C is the circumference of a circle, π is about 3.14, and d is diameter

d = 2r where d is the diameter of a circle and r is the radius.

Answers

The answer is b uh it’s 4 in the morning I hope this helped and I hope you can still answer the question

The scatterplot below shows the relationship between the number of gallons of gasoline in the tanks of 14 cars, and the maximum number of miles the cars can be driven on the given amount of gasoline.

Gasoline
A graph has gallons in gas tank on the x-axis and maximum miles on the y-axis. A line goes through points (9, 280) and (12, 360).

Based on the data collected, which combination of gallons in the gas tank and maximum number of miles seems most likely to be possible?


I DONT KNOW HOW TO INSERT A PICTURE BUT PLZ HELP will MARK AS BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

How u insert a image=When u ask a question there should be a paperclip looking thing click that and you can insert a image

B.9 gallons in the gas tank and 280 miles.

From the given figure we see that the line of best fit passes through the point (13,400) and (17,520)

We know that the equation of a line passing through two point (a,b) and (c,d) is calculated by using the formula

y - b = d-b/c-a x (x-a)

Here we have:

(a,b)=(13,400) and (c,d)=(17,520)

Hence, the equation of line of best fit is: y - 400 = 520 - 400/17-3 x (x - 13)

y-400=120/4 x (x-13)

y=400=30x(x-13)

y-400=30x-390

y=30x-390+400

If u want to check your answers

0 gallons in the gas tank and 20 miles

when x=0 we have:

y=10≠20

Hence, option: A is incorrect.

B)

9 gallons in the gas tank and 280 miles .

when x=9 we have:

y=30×9+10

y=280

Hence, option: B is correct.

C)

11 gallons in the gas tank and 360 miles

when x=11; we have:

y=30×11+10

y=340≠360

Hence, option: C is incorrect.

D)

19 gallons in the gas tank and 520 miles

when x=19; we have:

y=30×19+10

y=580≠520

Hence, option: D is incorrect.

Me and my friend really don't understand this. If anyone can help within 5 minutes, it'd help a lot.
Thanks :)

Answers

Answer:

the ratio is 18:81

Step-by-step explanation:

Okay so when a question is asking for a ratio it is basically asking a number compared to another:

So if you had 14 green frosted cupcakes and 8 blue frosted cupcakes what is the ratio of total frosted cupcakes to blue cupcakes:

the answer would be 22:8

Because you are trying to compare the total number of cupcakes to the blue cupcakes.

So back to your equation it wants to know the ratio between empty spots and the total number of parking spaces

Since we know that 63 of the spots have cars and 18 spots are empty we are going to add 63 and 18 together to get the total amount of parking spaces:

18 + 63 = 81

And since they want to know the empty spots compared to the total number of parking spaces we are going to be putting 18:81.

Hope this helped you!!!

Answer:

18:81

Step-by-step explanation:

A family of 12 went to the local Italian restaurant for dinner. Every family member
ordered a drink and meal, 4 ordered an appetizer, and 8 people ordered cake for
dessert. Write an Expression
Your answer

Answers

12c + 3a + 6d = total bill when d stands for dessert and a stands for appitizer and 12 stands for drinks and meals

Answer:

4a + 8d = 12

I hope this helps you

A pan balance has 3 cubes on one pan and 11 cubes on the other pan. Lucy thinks she should add 7, 8, 9, or 10 cubes to make the pans balance. How can you use the equation 3 + c = 11 to find the number of cubes Lucy should add?

Answers

Answer:

8

Step-by-step explanation:

11-3=c

c=8

The number of cubes Lucy should add is 8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a pan balance has 3 cubes on one pan and 11 cubes on the other pan.

The equation to represent the situation is 3+c=11

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, c=11-3

c=8

Therefore, the number of cubes Lucy should add is 8.

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A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teachers. How many shirts were sold to each group-fifth graders, 6th graders, and teachers? Explain or show your reasoning. Please help I'm late on turning in homework!

Answers

Answer:

5th graders = 93 people  6th graders = 156  teachers = 51

Step-by-step explanation:

93 5th graders bought shirts, 156 6th graders bought shirts, 51 teachers bought shirts

300x0.31 = 93 shirts sold to 5th graders
300x0.52 = 156 shirts sold to 6th graders
156+93 = 249 shirts sold to students
300-249 = 51 shirts sold to teachers

Plz help quickly i need this by today at 9 pm or I'm grounded. brainliest i will give it to the first person with correct answers. I NEED ALL ANSWERS AND PLZ DONT ANSWER FOR THE POINTS I WILL REPORT YOU. fyi, the functions in the second picture go with the graphs you just need to tell me which functions goes with which graph. plz i already lost 32 points and read the instructions on the pictures.

Answers

Answer:

99% sure its D

Step-by-step explanation:

Answer:

i think its D

Step-by-step explanation:

MR. ARCEO TAKES A TAXI FROM THE AIRPORT TO A HOTEL. THE TAXI CHARGES $2.50 INITIAL CHARGE PLUS $2.65 PER MILE. WHICH EQUATION CAN BE USED TO FIND Y, THE TOTAL COST OF THE TRIP, IF X REPRESENTS THE NUMBER OF MILES OF THE TRIP?

Answers

2.65x + 2.50 = y

step by step explanation:

2.65 is how much for each mile, and the variable, x, represents the number of miles of the trip. so, we would do 2.65x to find out how much money you have to pay for the amounts of mile.

next, you would have to add the initial fee, which is 2.50. so 2.65x+2.50.

lastly, y represents the total cost of the trip. so, 2.65x + 2.50 = y
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