When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.

Answers

Answer 1

Answer:

$308 - 14r

Number of weeks = 22 weeks

Step-by-step explanation:

Given that:

Amount kept in bank = $308; which should be withdrawn weekly at $14 per week

Total amount in bank - weekly withdrawal * number rof weeks

Let number of weeks = r

$308 - 14r

When will the money run out

$308 - 14r = 0

-14r = - 308

Divide through by 14

14r/13 = 308/14

r = 22

Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.


Related Questions


Which equation shows the relationship between the
number of poles ordered, n, and the total cost, c?
A. c = 3n + 120
B. c = 4n + 180
C. c = 20n + 60
D. c = 40n

(NEED HELP ITS DUE TODAY)

Answers

honestly i think it’s (A.)

Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).

Write the equation of the parabola in vertex form.

(Answers are given in photo)

10 points!!! Please help.

Answers

Answer: D. y = 2(x - 6)^2 - 3

Step-by-step explanation: see attachment. i hope this helped :)

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

The vertex form of the equation of a parabola is:

[tex]y = a(x - h)^2 + k[/tex]

where the vertex = (h, k)

The given vertex, (h, k) = (6, -3)

The line passes through the (8, 5)

x  =  8,  y  =  5

Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a

[tex]y = a(x - h)^2 + k[/tex]

[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]

Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - 6)^2-3\\[/tex]

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

Learn more here: https://brainly.com/question/24208497

2. Emily was going to her hotel. It took her 4 hours to get there after work. When she was driving nome she decided to go 15 miles per hour faster. which let her get home 1 hour earlier. How fast did she drive going to the hotel I 3. Give an example of a linear equation that has (a) no solution and ib) infinitely many solutions​

Answers

Answer:

She could not even fit in the hotel in the first place

Step-by-step explanation:

A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?

Answers

Answer:

[tex]9d = 36[/tex]

Step-by-step explanation:

See attachment for complete question

[tex]Length = 36ft[/tex]

[tex]n = 10[/tex]

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

[tex](n - 1) * distance = 36[/tex]

Substitute 10 for n and d for distance

[tex](10 - 1) * d = 36[/tex]

[tex]9 * d = 36[/tex]

[tex]9d = 36[/tex]

Hence:

[tex]9d = 36[/tex] answers the question

what is the domain of the function represented by the graph?

Answers

Answer: x is equal to or bigger than -3

Step-by-step explanation:

1. Half of a number is at most 5 units from 14.​

Answers

Answer:

18≤n≤38

Step-by-step explanation:

Becky went scuba diving. The inequality statement compares the magnitude of two depths that she reached.

|−28|>|−3|

What does the inequality statement show?

Select from the drop-down menus to correctly complete the statement.

−28 is
Choose... Greater or less
than −3, but 28 m below sea level is a
Choose... greater or less
depth than 3 m below sea level.

Answers

Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.

Step-by-step explanation:

Complete statement is as follows -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

What is inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.

We have the following expression -

|- 28| > |- 3|

The absolute value of the expression, will be -

28 > 3

Now, 28 is greater than 3.

But is we compare -28 and -3, then -28 is less than -3.

Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.

Therefore, we can write the complete statement as -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

To solve more questions on inequalities, visit the link below-

brainly.com/question/26434651

#SPJ5

Explain how Main Sequence Stars
are different from Giant stars and
Dwarf stars?


Help me with thissss

Answers

A giant star is a star with substantially larger radius and luminosity than a main-sequence (or dwarf) star of the same surface temperature. They lie above the main sequence (luminosity class V in the Yerkes spectral classification) on the Hertzsprung–Russell diagram and correspond to luminosity classes II and III.

PLSS HELP DUE IN 4 MINS

Answers

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

helpgchjsghjcvbxnvbsvjdgasghgbhdvbahgvgbd

Answers

Answer:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

Step-by-step explanation:

What is the rate of change from 2
gallons to 4 gallons? Pls I need help!!

Answers

Answer:

2 gallons

Step-by-step explanation:

James bought a car and paid for it in equal payments of $854. After making 41 payments, he still had to pay $16,331.

Answers

What is this asking? He’s Paid $35,014
Oh 19.122 payments left

True or false
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Answers

Answer:

im pretty sure its true

Step-by-step explanation:

so sorry if its wrong, hope it helps!

Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.

Answers

Is there a picture so I can give you more information? Please let me know how I can help

Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11

Answers

Answer:

[tex]5+2*(7-4) =11[/tex]

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

Plz anwer i give 30 points or 20

Answers

Answer:

x = -6

hope this helps!

Answer:

the answer should be letter B your welcome ;)

Step-by-step explanation:

Which expressions are equivalent to 9+h+ (j+k)? Check all that apply.
9+(n+}) +
(9+1) +jk
(9+h) +j+k
9+(hj)+k
gh+jk
g(h+)
9+h[j+k)

Answers

Answer:According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct

Answer:

1,3

Step-by-step explanation:

I need to match each equation with the right answers and I need to show my work for each one

Answers

Don’t mind my hand writing

A math professor writes down two consecutive whole numbers from the range from a through 10. She tells one of the numbers to Maurice and the other to Hani. Maurice says to Hani "I don't know your number." Hani replies "And I don't know yours." Then Maurice says "Now I know your number." What are the two numbers?

Answers

Answer:

Throughout the clarification section following, the definition of the problem is mentioned.

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

                      Maurice's number                             Hani's number

                                   2                                                        3

                                   3                                                        4

                                   6                                                        7

                                   9                                                        10

Even though professor whites away, Maurice as well as subsequently Hani are allocated two consecutive full numbers as well as first numbers. Furthermore, in any circumstance, the number of Hani should be one more than any of Maurice, as well as the number of Maurice should be one lower than the average Hani.

Anne rides her horse with a constant speed of 14 miles per hour. How far can she travel in 3/4 hour?

Answers

Answer:

10.5 miles

Step-by-step explanation:

We can use proportions to solve

14 miles         x miles

-------------- = ----------

1 hours             3/4 hours

Using cross products

14 * 3/4 = 1x

10.5 = x

5a+12 = 9A-12

Can anybody help me ?

Answers

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

WILL GIVE BRAINLIEST, COMMENT, LIKE, AND 7 POINTS TO BEST ANSWER
If you and a friend walked the same difference at different time, how can you tell who walked faster?

Answers

You would divide the distance by the amount of time it took for each friend. Whatever answer is lower, they walked faster. Please mark brainliest (:

Answer:

By the amount of time it took you guys to get there

Step-by-step explanation:

For example, if I start walking at 8:55 and arrive by 9:10, then it took me about 15 minutes to get there.

If you start walking at 9:10 and arrive by 9:20, it took you 10 minutes to get there meaning you walked faster.

Hope I helped.

What is the Sum of Roots of x^2+9x+14=0?

Answers

Answer:

x=-2,x=-7

Step-by-step explanation:

quadratic equation form ax^2+bx+c=0

Answer:

- 9

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then

the sum of the roots = [tex]\frac{-b}{a}[/tex]

x² + 9x + 14 = 0 ← is in standard form

with a = 1 and b = 9 , thus

sum of roots = [tex]\frac{-9}{1}[/tex] = - 9

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$ sign, 7, point, 50 delivery fee and 14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60sign, 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario?

Answers

Answer: 7:50 + 14P<60

The slices I don’t know so find out yourself

Step-by-step explanation: I got it wrong and saw the right answer

Can you make a triangle with the side lengths, 3, 8, 8?

Answers

Answer:

yes of course you can make a triangle

Answer:

No

Step-by-step explanation:

A triangle has ALL equal sides but since it's 3,8,8 you can't because not all side are equal

A math class is having a discussion on how to determine if the expressions 4x-x+ 5 and 8-3x-3 are equivalent using
substitution.

The class has suggested four different methods.

Which describes the correct method?

O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the
two expressions must be equivalent.

OBoth expressions should be evaluated with one value. If the final values of the expressions are the same, then the
two expressions must be equivalent.

O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.

O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.

Answers

Answer:

the correct answer is the second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.

Factor the expression completely.
40x + 32

Answers

Answer:

8(5x+4)

Step-by-step explanation:

divide by the GCF 8

Answer:

8(5x + 4)

I hope this helps!

PLSS HELPP
Choose the equation for the line in slope-intercept form.




A y=2x+3
B y=1/2x+3
C y=1/2x−3
D y=−1/2x−3

Answers

Answer:

C or D, they look the same

Step-by-step explanation:

1. The graph passes through (2, -4) and (6, 0). You can use the rise over run formula to find the slope, so if you were to use the line to draw a triangle it would go to the right 2 spaces and up 1. Therefore the slope is 1/2.

2. Then you just need to see where the line crosses the y-axis (the vertical line). You can see here that it crosses at (0, -3).

3. Writing it in slope-intercept form is y = mx + (or -) b. Soooooo it would be y = 1/2x -3.

I hope this helped!

C - The slope is 1/2 and the y intercept is (0,-3)

the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota

Answers

Answer:

It would -2 degrees in North Dakota.

Step-by-step explanation:

Subtract 40 from 38 to get to -2.

b) Simplify the expression (V7 + 3) square 2

Answers

V*7+3*v7+3 I’m not sure so I might be wrong

Answer:

[tex]49v^{2} +42v+9[/tex]

Step-by-step explanation:

First, let me say, I'm not sure what exactly the equation is because it's worded weirdly, but I'm assuming it's [tex](7v+3)^{2}[/tex].

(7v+3)(7v+3) [[tex]7v+3^{2}[/tex] is the same as (7v+3)(7v+3).]

[tex]49v^{2} +42v+9[/tex] [When you multiply them, this is the product.]

This is as far as you can simplify without knowing the value of v as far as I know.

Other Questions
Which particle is NOT made up of quarks?A: a proton B: a neutronC: an electron Need it now please help me write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6 Create an idea for a Bill to be considered in theUS Congress.: NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!! Please help asap!! Pretty simple if you understand I guess lol The signboard truss is designed to support a horizontal wind load of 800 lb. A separate analysis shows that 5 8 of this force is transmitted to the center connection at C and the rest is equally divided between D and B. Calculate the forces in members BE and BC. Jos correctly answered 80% of thequestions on a language arts quiz. If heanswered 16 questions correctly, how maquestions were on the language arts quiz Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are? what are some good Halloween movies to watch? Find y into the nearest hundredth place Mirr, Inc. was incorporated on January 1, year 1, with proceeds from the issuance of $750,000 in stock and borrowed funds of $110,000. During the first year of operations, revenues from sales and consulting amounted to $82,000, and operating costs and expenses totaled $64,000. On December 15, Mirr declared a $3,000 cash dividend, payable to stockholders on January 15, year 2. No additional activities affected owners' equity in year 1. Mirr's liabilities increased to $120,000 by December 31, year 1. On Mirr's December 31, year 1 balance sheet, total assets should be reported at:_______ Read the following text:Adapted from former US President Jimmy Carter, Foreword to Arctic NationalWildlife Refuge: Seasons of Life and Land, A Photographic Journey bySubhankar Banerjee. 2003 by Subhankar Banerjee.4 Standing on the coastal plain, I was saddened to think of the tragedy that might occur if this great wilderness was consumed by a web of roads and pipelines, drilling rigs and industrial facilities. Such proposed developments would forever destroy the wilderness character of Americas only Arctic Refuge and disturb countless numbers of animals that depend on this northernmost terrestrial ecosystem. 5 The extraordinary wilderness and wildlife values of the Arctic Refuge have long been recognized by both Republican and Democratic presidents. In 1960, President Dwight D. Eisenhower established the original 8.9 million-acre Arctic National Wildlife Range to preserve its unique wildlife, wilderness, and recreational values. Twenty years later, I signed the Alaska National Interest Lands Conservation Act, monumental legislation that safeguarded more than 100 million acres of national parks, refuges, and forests in Alaska. This law specifically created the Arctic National Wildlife Refuge, doubled the size of the former range, and restricted development in areas that are clearly incompatible with oil exploration. 6 Since I left office, there have been repeated proposals to open the Arctic Refuge coastal plain to oil drilling. Those attempts have failed because of tremendous opposition by the American people, including the Gwichin Athabascan Indians of Alaska and Canada, indigenous people whose culture has depended on the Porcupine caribou herd for thousands of years. Having visited many aboriginal peoples around the world, I can empathize with the Gwichins struggle to safeguard one of their precious human rights.7 We must look beyond the alleged benefits of a short-term economic gain and focus on what is really at stake. At best, the Arctic Refuge might provide 1 to 2 percent of the oil our country consumes each day. We can easily conserve more than that amount by driving more fuel-efficient vehicles. Instead of tearing open the heart of our greatest refuge, we should use our resources more wisely. What is ONE rhetorical device used in Jimmy Carter's "Foreward to the Arctic National" AND what IMPACT/EFFECT does his use of that rhetorical device have on his audience? Use TEXTUAL EVIDENCE to support your answer.Feel free to use the following sentence stems to structure your response:Jimmy Carter effectively uses the rhetorical device __________ in his "Foreward to the Arctic National." His use of ____________ can be seen in paragraph ___, when he says, " ______ insert textual evidence here _____." Jimmy Carter's use of this rhetorical device impacts the audience by _________ because ___________. This makes Jimmy Carter's foreword effective in _____________ because it _________.RubricCorrectly identifying the rhetorical deviceChoosing textual evidence that is an example of the identified rhetorical deviceAccurately explaining the effect of the author's use of the rhetorical device in the textual evidence Accurately explaining how the rhetorical device makes the author's argument effective PLEASE HELP!!!!!!!! Which excerpt from The Cruisers shows the passage has a first-person point of view?LaShonda was tall, dark, and slightly wild looking.It was LaShondas idea to call our staff LaShonda, Bobbi, Kambui, and me the Cruisers. Da Vinci was supposed to be one of the best gifted and talented schools in the city . . .Well, what are we to say this morning? he asked, looking over his rimless glasses. Question 8 of 10Read this example:Original work A novel about two brothers who travelacross the country in order to find their lost little sister.What is one example of using a new medium to interpret this original work?A. A movie that tells the story of the two brothersB. A translation of the novel into another languageC. A story written about the history of their familyO D. A book telling the story from the sister's point of view Apex hurry Many of the grievances Thomas Jefferson references as justifications for declaring independence were more the will of British parliament than they were the will of King George III. Even though Jefferson would have been well aware of this fact, why does he go to such great lengths to vilify the king throughout the declaration? How did religion influence the leaders that came to power across Europe during the medieval era? Describe the Manor Economy? What determines whether a metamorphic rock is foliated or non-foliated? The following information is available for Mergenthaler Corporation for the year ended December 31, 2022: Collection of principal on long-term loan to a supplier $16,000 Acquisition of equipment for cash 10,000 Proceeds from the sale of long-term investment at book value 22,000 Issuance of common stock for cash 20,000 Depreciation expense 25,000 Redemption of bonds payable at carrying (book) value 34,000 Payment of cash dividends 6,000 Net income 30,000 Purchase of land by issuing bonds payable 40,000 In addition, the following information is available from the comparative balance sheet for Mergenthaler at the end of 2022 and 2021: 2021 2022Cash $148,000 $91,000Accounts receivable (net) 25,000 15,000Prepaid insurance 19,000 13,000Total current assets $192,000 $119,000Accounts payable $30,000 $19,000Salaries and wages payable 6,000 7,000Total current liabilities $36,000 $26,000Required:Prepare Mergenthaler's statement of cash flows for the year ended December 31, 2014, using the indirect method.