which type of function describes her total savings after m months and why?

Which Type Of Function Describes Her Total Savings After M Months And Why?

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

I would advise finding the difference between 300 and 200 and 450 and 300:

[tex]300-200=100\\450-300=150[/tex]

We can eliminate C and D since she saves 100 the first month and 150 the second month.

The next step would be to find the increase every month:

[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]

If we would write the increase as a function, we would get:

[tex]y= 1.5x[/tex]

we can check this by substituting values:

[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]

An exponential function looks like this:

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

A linear function looks like this:

[tex]y=mx+b[/tex]

Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:

[tex]y=1.5x+0\\y=1.5x[/tex]

Therefore our function resembles a linear function more than an exponential function, eliminating answer B.


Related Questions

Wyatt walks
3
miles each day for
6
days.
Aaliyah walks
4
1
2
miles each day for
6
days.
How many more miles will Aaliyah walk in
6
days than Wyatt?

Answers

Aaliya walks 9 miles farther than Wyatt in 6 days.

Step-by-step explanation:
The distances walked are as follows:
Wyatt: (3 mi/day)(6 days) = 18 mi
Aaliyah: (4.5 mi/day)(6 days) = 27 miles Aaliya walks 9 miles farther than Wyatt in 6 days.

In the given figure ABC is a triangle in which angle BAC is equal to 30 degree show that BC = the radius of the circumcircle of triangle ABC whose Centre is O. ​

Answers

See the figure attached..

Step-by-step explanation:

First, Join OB and OC.

∠BOC = 2∠BAC

(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)

=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)

=> ∠BOC = 60°

In, ΔOBC, OB = OC...(radii of same circle)

∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)

As the sum of angles of a traingle is 180°,

∠OBC + ∠OCB + ∠BOC = 180°

∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)

2∠OBC = 120° => ∠OBC = 60°

Thus, we have ΔABC such that,

∠BOC = ∠OBC = ∠OCB = 60°

ΔOBC is an equilateral triangle

BC = OB i.e. BC is equal to the radius of circle.

Hence proved...

Hope it helps you!!


Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.

Answers

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

What is the function for the ball's height?

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at https://brainly.com/question/25537936

Help pls need done now :)

Answers

[tex]\bold{ANSWER:}[/tex]
g(x) = x^2 + 6

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

g(x) = x^2 + 6

Step-by-step explanation:

We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).

g(x) = (x - h)^2 +k

It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.

g(x) = (x-0)^2 + 6

g(x) = x^2 + 6

Please answer everything that at asks in the image above. this is very important and I need help.​

Answers

Answer:

Step-by-step explanation:

If B is the midpoint of AC, and AC=8x-20,find BC

Answers

Answer:

BC = 0.5 * AC

Step-by-step explanation:

Since B is the midpoint

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d

Answers

The amount of profit the investor earns is 9340 dollars. Then the correct option is D.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.

The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.

Then total cost price of the shares will be

→ 19.84 × 400 = $7936

The total selling price of the shares will be

→ 43.19 × 400 = $17,276

Then the profit is the difference between the total cost price of shares and the total selling price of the shares.

→ 17276 - 7936 = $ 9340

More about the Algebra link is given below.

https://brainly.com/question/953809

The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.

Answers

For example, in the second week is
40 x 2 = 80.
In the third week, 40 x 2^2 = 160
So, In the eight week it is 40 x 2^7 = 5120.

I'm as stuck as stepsis in the dryer.

Answers

The area equation for the given rhombus is:

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

How to get the area of the rhombus?

For a rhombus of diagonals d₁ and d₂, the area is given by:

A = (d₁*d₂)/2

In this case, we have:

d₁ = (2x + 8)m

d₂ = (x - 2)m

Then the area equation is:

A = (1/2)*(2x + 8)*(x - 2) m^2

A = (x + 4)*(x - 2) m^2

A = (x^2 - 2x + 4x - 8) m^2

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155


Use the formula for,P, to solve the following question.
For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
ways

Answers

Answer:

604800 different ways to order the program

Step-by-step explanation:

using the formula for permutation, not combination because the order of the records matter

n!/(n-r)!

n is the total number of choices (10)

r is the number that is chosen from the total number (7)

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS

Answers

Answer:

1/6

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

the second one

Step-by-step explanation:

1/6

brainliest pls

What is the domain and range?

Answers

Answer: domain: [-6,6] range: [-4,3]

Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value


Multiply the binomials:
(3x+4)(5x-2)

Answers

Answer:

15x^2 + 14x - 8.

Step-by-step explanation:

(3x + 4)(5x - 2)

= 3x(5x - 2) + 4(5x - 2)

= 3x*5x + 3x*-2 + 4*5x + 4*-2

= 15x^2 - 6x + 20x - 8

= 15x^2 + 14x - 8.

Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?

Answers

Answer:

a 40 sheets/min

b 2400 sheets

c25mins

Step-by-step explanation:

a

120/3=40 sheets /min

b

40*60=2400

c

1000/40=25

Answer:

1) 40 sheets/minute 2) 2400 3) 25 minutes

Step-by-step explanation:

Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19

Answers

Answer:

substitution or elimination

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!

The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices

(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft

(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft

(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft

Answers

Answer:

(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ft

Step-by-step explanation:

Let the length be x and width be y.

We have:

x = y + 8Area = 240 ft²

Set equation and solve

xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ft

The length is:

x = 12 + 8 = 20 ft

The perimeter is:

P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ft

Correct choice is D

Let they be l and b

l=b+8l-b=8--(1)

And

lb=240

So

(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)

From both equations

2l=40l=20

And.

b=20-8=12ft

Option D

hi, i am struggling to find this algebra 2 answer can anyone help? i am desperate and ill give you whatever u want

Answers

The answer: the difference =-7
and x=4, x=-5,x=2

El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?

Answers

Answer:

x≈5

Step-by-step explanation:

x^2-5x6=0

x^2-30=0

x^2-30+30=30+0

x^2=30

x≈5

a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail

Answers

Answer:

54 I think

Step-by-step explanation:

you multiply the width times the length and that’s the area


hope this helps!

answer is 54 :)))))))

help me please
find value of x and y​

Answers

Answer:

Below in bold.

Step-by-step explanation:

The triangle ABC is a right triangle as BCD is a tangent.

So m < y = 90 - 30 = 60 degrees

The angle at the centre O = 2*30 = 60 degrees  (angle subtended at centre theorem)
m < x =  180 - 90 - 60 = 30 degrees

Step-by-step explanation:

y = 60

x= 30

these are the answer s

The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% discount .Find the profit percent.
Note: Please show the process and explain as well.​

Answers

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

How to do the sum
25 cm 25 mm = --------------------m

pls give the ans with explanation

Answers

Answer:

Step-by-step explanation:

100 cm = 1 m

25 cm =  25 ÷ 100 = 0.25 m

1000mm = 1m

25 mm  = 25 ÷ 1000 = 0.025

0.250   +

0.025

0.275

25 cm 25 mm = 0.275 m

M= 100cm M=1000mm

25cm = .25m 25mm = .025m

.275m

Share OMR 120 in the ratio 1.5 : 0.5​

Answers

Answer:

90:30 is the answer

only if we use over 2

Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?

$9.06

$9.55

$9.60

$9.61

Answers

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))​

Answers

Answer:

815.76 is your answer

Step-by-step explanation:

There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?

Answers

Answer:

18

Step-by-step explanation:

no. of boys=2x

no.of girls=x

total no. of pupils=2x+x

27=3x

27/3=x

x=no.of girls=9

no.of boys =2x=2*9=18

Answer: 18 Boys

Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice

Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35

Answers

Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

The amount of speakers he buys is x.

Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

Answer:

D

Step-by-step explanation:

its $43 each and he wants to buy more than one so that means thats x

that marks out C

so 43.00x +466.43 is less than 1,059.35

I really feel like one of them should have less than/greater than or equal to sign but without I think its D

help 8 th grade math

Answers

Answer:

6 is A

Step-by-step explanation:

-5 x -4 = 20

-5 x 7x = -35x

Find the measure of angle A.
(BRAINLIEST :D)

Answers

Answer:

180 - 90 - 60

Step-by-step explanation:

all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30

Answer:

30

Step-by-step explanation:

A triangle always = 180 degrees :)

So first we can add :D

60 + 90 + a = 180

150 + a = 180

Now we subtract :)

180 - 150 = 30

The answer is 30!

Have an amazing day!!

Please rate and mark brainliest!!

Solve each system of equations below. Write your solution in the form (x,y). Check your solution.
a) 3x - y = 14
x = 2y + 8

Answers

x = 2y+8

Step-by-step explanation:

3x-y = 14

3(2y+8)-y = 14

6y+24-y = 14

5y = 14-24

y = -10/5

y = -2

now,

x = 2y +8

x = 2(-2)+8

x = 4

Therefore, the value of x is 4 and y is -2.

Other Questions
The blueprint for the Moreno's living room has a scale of . The family wants to 2 inches= 3 feet use a scale of 1 inch =4 feet. What is the width of the living room on the new blueprint? HELP ME NOW!!write about Vignette about life during the Civil War 100 POINTS AND BRANLIEST HELP!!!! Select one character, either Romeo or Juliet, to write from his/her point of view. For each of the Acts 1-3, write an original journal entry that is accurately based on the events of the play. You will be assuming the role of your chosen character and writing from his/her perspective. Remember that a journal is a place to write ones innermost thoughts and feelings. Each entry needs to be at least one paragraph. This is a minimum of 5-7 hearty sentences. Aim to write in the voice of the character; thus, make your best effort to reflect Shakespeares English. Include some terms, words of the era. Format each entry with a greeting, body, and closing (just like a letter). If you would like to add a small picture (sticker) to your journal entry, you may do that. Edit/proofread your work after you write and before you submit it for a grade. This is graded as a writing assignment. Complete the Reflection slide. Which sentence uses the verb correctly? He laid down on his bed to take a nap after he cleaned his room. He lay down on his bed to take a nap after he cleaned his room. He lie down on his bed to take a nap after he cleaned his room. He lied down on his bed to take a nap after he cleaned his room. True or False: The state Supreme Court is an appellate court. A. true B. false If the zeros of a quadratic function, F, are -2 and 4, what is the equation of the axis of symmetry of F What best describes national finances during president reagans time in office? I can see it when social studies has been done but I dont think you can do it What is the gradient of the blue line Select the correct answer.What is the range of the function shown on the graph?162-4-8-6x-228-21648 Containment who is the policy used against? Who comes up with the plan? how was Nepal named on the basis of race What is the perimeter of the polygon below? I dont know how to solve equations by completing the square x^2 51=14x Which best completes the analogy?Bronchioles : Trees :: Lungs : 3) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house. Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle? Sketch: What is the point of view in The Diver? Where did the nuclear scientist's engineers first set up their office during the ManhattanProject? what happened in Texas between the settlers there and the Mexican government Question 6When Andrea says that "our lives will change dramatically," she probably means that she and Lynnwill-o buy Myra's half of the duplexO move out on their ownno longer have parties on the lawnhelp care for Myra