30 POINTS BRAINLY FIRST REAL RESPONSE
Step 3: Applying linear functions
Grace and Claire’s parents are saving money now for their college education. Function 1 shows the growth of baby Grace’s college fund over time. Function 2 shows growth of baby Claire’s college fund over time.








a) If Grace and Claire’s parents each invested $7,600 into a college saving account when the girls were born, how much money will each girl have for college when she turns 18? Explain. (2 points)


b) Do the functions show a positive or negative correlation between time and the amount of money saved? Explain. (1 point)

Answers

Answer 1

Answer:

For A

For grace the x would be the number 18

y = 1000 (18) + 7600

y= 18000 = 7600

and that would mean y = 25600

Now for Claire you have to use the method rise over run

The equation for claire is y=800x + 7600  

11600-10000/3=800

---------------------------------------

y= 800(18) + 7600

y= 14,400 + 7600

y= 22,000

This shows that Claire would have $22,000 when shes 18 and Grace would have $25,600 when she is 18.


Related Questions

The value of y varies directly with the value of x. When y = 18, x = 3.
What is the value of x when y = 54?

Answers

Answer:

9

Step-by-step explanation:

y is 6 times x, so if you divide 54 by 6, you get 9. Hope this helps :)

Perform the following operation
and express the answer in
scientific notation.
6.300x10^-5 – 7.200x10^-3

[?]*10

Answers

Answer:

Step-by-step explanation:

6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3

Answer:-7.137 x 10^-3

Step-by-step explanation:

Mr.Farrar spent a total of $43.87 after tax on new clothes at a clothing store. He brought 1 pair of sandals for $8.02 t-shirts fo $9.49 each and 1 pair of jeans. The tax on the purchase was $2.87 how much did Mr.Farrar pay for the pair of jeans?

Answers

Answer:

43.87 - 8 = 35.87  (sandals)

9.49 + 9.49 = 18.98 ( for two t-shirts)

35.87 - 18.98 = 16.89 (t-shirts)

16.89 - 2.87 = 14.02 (taxes)

Andrea payed $14.02 for a pair of jeans

Hopes this helps you!

Step-by-step explanation:

What’s the value of x? :/

Answers

Answer:

[tex] x = 27 [/tex]

Step-by-step explanation:

According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].

This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]

Thus:

[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)

[tex] \arc{XY} = (6x - 20) [/tex]

[tex] \arc{ZY} = (6x - 20) [/tex]

[tex] \arc{ZX} = 76 [/tex]

Plug in the values into the equation

[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]

[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]

Add like terms

[tex] 12x + 36 = 360 [/tex]

Subtract 36 on both sides

[tex] 12x = 360 - 36 [/tex]

[tex] 12x = 324 [/tex]

Divide both sides by 12

[tex] x = 27 [/tex]

Find the LCM of the denominators in these fractions
5/6 and 1/14

Answers

Answer:

35/42 and 3/42

Step-by-step explanation:

Multiply by 3.

HOPE THIS HELPS :)

The LCM of the denominators in the fractions 5/6 and 1/14 is 42.

What is Least Common Multiple(LCM)?

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.

To find the least common multiple (LCM) of two numbers, you can list the multiples of each number and find the smallest number that is a multiple of both.

The multiples of 6 are 6, 12, 18, 24, 30, and so on. The multiples of 14 are 14, 28, 42, 56, and so on. The smallest number that is a multiple of both 6 and 14 is 42, so the LCM of 6 and 14 is 42.

Therefore, the denominators in the fractions 5/6 and 1/14 have an LCM of 42.

To learn more about the Least Common Multiple(LCM) here :

https://brainly.com/question/17256135

#SPJ2

Thee questionn is beloww

Answers

Given:

[tex]m\angle ABC=60[/tex]

To find:

The [tex]m\angle ADC[/tex].

Solution:

In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

[tex]m\angle ABC=2(m\angle ADC)[/tex]         [Central angle theorem]

[tex]60=2(m\angle ADC)[/tex]

Divide both sides by 2.

[tex]\dfrac{60}{2}=m\angle ADC[/tex]

[tex]30=m\angle ADC[/tex]

Therefore, [tex]m\angle ADC=30[/tex].

The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.

Answers

Answer:

83F+79F+X

-----------------      >82F

        3

Step-by-step explanation:

X is the unknown temp, which is the third day.  adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F

Maggie is participating in her school reading challenge. She reads 80 books in 6 months. If 40 of the books are fiction, then what percent of the books that she read are fiction?

Answers

Answer:

50%

Step-by-step explanation:

*In this question, the 6 does not matter*

If 40/80 books are fiction, and if you simplify that fraction, you get 1/2.

Percentages are just fancy fractions and decimals. 50% means 1/2.

Thus, the answer is 50%

Delete this already.

What is the only number that is a factor of every number?
A.5
B.2
C.1
D. 3.54

Answers

The only number that is a factor of every number is : 1

Answer:

the answer of the question is c.1

Which substitution method should be the best used to solve which system of equations

Answers

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25. He bought 3 times as many hotdogs as drinks.

Answers

Answer:

He bought 6 hotdogs and 2 drinks

Step-by-step explanation:

System of Equations

Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.

To solve the system of equations, we'll call the variables:

x = number of hotdogs

y = number of drinks

The first condition yields the equation:

4.50x + 2.25y = 31.50          [1]

It's also known he bought 3 times as many hotdogs as drinks, thus:

x = 3y         [2}

Substituting [2] in [1]:

4.50(3y) + 2.25y = 31.50

Operating:

13.5y + 2.25y = 31.50

15.75y = 31.50

y = 31.50/15.75

y = 2

And

x = 3*2 = 6

He bought 6 hotdogs and 2 drinks

A salesperson at a jewelry store earns ​5% commission each week. Last​ week, Heidi sold 640 worth of jewelry. How much did Heidi make in​ commission? How much did the jewelry store make from ​sales?

Answers

Answer:

12,800 Dollars USD

Step-by-step explanation:

A pipe is leaking in the school bathroom . it leaked 3 gallons of water in 6 hours.
Find the constant of proportionality

Answers

Answer:

0.5 gallons per hour

Step-by-step explanation:

Find the size of the angle 2 x

Answers

Answer:

Given - Angles measure 2x , X and 3x

To find - Measures of 2x

Solution -

2x + X = 180° ( forming linear pair )

3x = 180°

x = 180/3

x = 60°

2x = 2 × 60 = 120°

Answer:

120°

plz give brainlist

Step-by-step explanation:

since 2x and x form a straight angle you get the equation

2x + x = 180

combine like terms

3x = 180

devide by 3

x = 60

evaluate 2x

2(60) = 120

How many natural numbers are between 34 and 72? and, how many whole numbers between -2 and 25?

Answers

Answer:

There are 37 natural numbers between 34 and 72.

There are 25 whole numbers between -2 and 25.

Step-by-step explanation:

1. Natural numbers between 34 and 72

2. Whole numbers between -2 and 25

1.35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71.

2.0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24.

Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3

Answers

Answer:

The solution is:

[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

The graph of the solution is attached below.

Both the number line and graph is attached below.

Step-by-step explanation:

Note: you missed to add the graph options. Therefore, I am solving the inequality and adding the corresponding graph which would anyways clear your concept.

Given the inequality expression

[tex]6\:x\:-\:12\:-\:x\:\le \:3[/tex]

Group like terms

[tex]6x-x-12\le \:3[/tex]

Add similar elements: 6x-x=5x

[tex]5x-12\le \:3[/tex]

Add 12 to both sides

[tex]5x-12+12\le \:3+12[/tex]

simplify

[tex]5x\le \:15[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}\le \frac{15}{5}[/tex]

simplify

[tex]x\le \:3[/tex]

Therefore, the solution is:

[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

The graph of the solution is attached below.

Both the number line and graph is attached below.

What is the area of a hexagon with a side length of 10? it also has a rectangle in it with other measurements but the question is asking for the area of the hectagon.

Answers

Answer:

there is a formula for a hexagon ..  it's

Area = 3[tex]\sqrt{3\\}[/tex]/2 * [tex]length^{2}[/tex]

where length is the length of one side, assuming all sides are equal

Step-by-step explanation:

3*[tex]\sqrt{3}[/tex]/2= 7.348469228.........

since the length is 10...   the length squared is 100

then the total area of the hexagon is 734.8469228...... [tex]units^{2}[/tex].. what ever they are

if you want to work with some concepts.. you could also say that a hexagon is just a box with the corners cut off and the triangles that are missing are the equilateral right triangles with a hypotenuse of 10 .  and since 2 pieces of those triangles make a square.. you can subtract two squares of that size from the bigger box that the hexagon fits into.  this is a long way to figure this out but might be good for trigonometry practice   :)

it will also be 734.8463288.....  see if you can work that out :)

A large rectangle is made by joining three identical small rectangles as shown.

The perimeter of one small rectangle is 21cm. The width of one small rectangle is x cm.

Work out the perimeter of the large rectangle. The final line of your answer should be the form, perimeter of large rectangle is ...cm

Answers

Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

What is the slope of a horizontal line?

Answers

Answer:

Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

Helpppp pleaseeeeeeee

Answers

Answer:

x= 6.85 or 89/13

Step-by-step explanation:

perimeter is sum of all sides added, so add them all and set them equal to 84

4(x-3) + 3x - 1 + 6x + 8 = 84

distribute

4x + 12 + 3x - 1 + 6x + 8 = 84

combine like terms

13x - 5 = 84

solve for x

x = 89/13 = 6.85

Simplify the expression 12 a to B minus AAA +582B minus to a B minus 4AB2 minus 6AB plus to a plus 3AB

Answers

Question:

Simplify:

[tex](12a^2b-8a+5a^2b-2ab)-(4ab^2-6ab+2a+3ab)[/tex]

Answer:

[tex]17a^2b - 4ab^2 - 10a + ab[/tex]

Step-by-step explanation:

Given

[tex](12a^2b-8a+5a^2b-2ab)-(4ab^2-6ab+2a+3ab)[/tex]

Required

Simplify

[tex](12a^2b-8a+5a^2b-2ab)-(4ab^2-6ab+2a+3ab)[/tex]

Open brackets

[tex]12a^2b-8a+5a^2b-2ab-4ab^2+6ab-2a-3ab[/tex]

Collect Like Terms

[tex]12a^2b + 5a^2b - 4ab^2 - 8a - 2a + 6ab - 3ab- 2ab[/tex]

[tex]17a^2b - 4ab^2 - 10a + ab[/tex]

Find the indicated probability.
If P(A or B) = 0.8, P(A) = 0.4, and P(A and B)= 0.15, find P(B).
P(B)=
(Simplify your answer. Type an integer or a decimal.)

Answers

Answer:

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

Given

[tex]P(A\ or\ B) = 0.8[/tex]

[tex]P(A) = 0.4[/tex]

[tex]P(A\ and\ B) = 0.15[/tex]

Required

Find P(B)

In probability, we have:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ sd B)[/tex]

Substitute values

[tex]0.8 = 0.4 + P(B) - 0.15[/tex]

Collect Like Terms

[tex]P(B) = 0.8 - 0.4 + 0.15[/tex]

[tex]P(B) = 0.55[/tex]

Express as a fraction or a mixed number
1 1/2%

Answers

Answer:

5 and 1/2

Step-by-step explanation:

Solve for n.
below
.....................

Answers

Subtract 8 from both sides
-n = -12
Divide by -1
Solution: n = 12

Answer:

n = 12

I hope this helps!

Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?

Answers

Answer:

Yes

Step-by-step explanation:

This is becuase 46 x 1.06= 48.76, thats less than $50.

Answer:

yes

Step-by-step explanation:

tax will be $2.76 therefore it will come up to $48.76


I need help with this

Answers

Answer:

A.

Step-by-step explanation:

I gotchu fam. The first thing that you would want to do is find the slope. The slope is the change in y divided by the change in x. Based on the points on the line, the change in y is 2 because it goes up two, and the change in x is one because it goes over 1. This would make your slope 2/1, or just 2! Now we have our slope, so we want to find our y-intercept. There are two ways that we can do this. The first way is just eyeballing it, but sometimes that's not always accurate. We're just going to do that because its faster (lol). It looks around -2. With this information, we have our entire equation! y=mx+b. we can plug in our information. y=2x-2. And that's how your answer's A! Hope this helps.

3/5+(-7/5)= can someone help me with this please

Answers

Answer:

[tex]-\frac{4}{5}[/tex]

Step-by-step explanation:

Because both of the fractions have a common denominator they can be subracted without any other work.

Please help I'll give brainlest

Which of the following is 1,215 divisible by? Select all that apply.
A.3
B.2
C.9
D.10
E.5
F.8
G.4
H.6

Answers

Answer: A,C,E

Step-by-step explanation:

All of the other answers give you a decimal.

Answer:

ACE

Step-by-step explanation:

A

1215 divided by 3 = 405

B

1215 divided by 9 = 135

C

1215 divided by 5 = 243

*The other answers can give a decimal answer.

At Barlow school, 4/9 of the 873 students are boys. At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?

Answers

Answer:

I have attached the answer

Lucy $154 made for 11 hours of work. At the same rate, how much would she make for 8 hours of work?

Answers

Answer:

19.25

Step-by-step explanation:

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