Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?

Answers:

R can be either 8, 9 or 10

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Explanation:

Let's exclude the R value for now.

The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.

Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.

If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.

So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}

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

If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.

Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.

If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.

So we've ruled out the cases that R = 5, R = 6 and R = 7.

If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.

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

Now let's consider the possibility that 8 < R < 11.

If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.

The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.

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

In short, R can be any of the following values: 8, 9, 10

Answer:

x=[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x

4x/2x - 5 × 4x = 10 × 4x - [tex]\frac{3 x 4x}{4x}[/tex]

2 -5 × 4x = 10 × 4 - 3

2 - 20x = 40x - 3

-20x - 40x = -3 - 2

-60x = -3 - 2

-60x = -5

x = [tex]\frac{-5}{-60}[/tex]

x = [tex]\frac{1}{12}[/tex]

Cutting in one minute = 105 ÷ 3 = 35 cuts

Now for six machine = 35 × 6 = 210 parts.

So, the option C. 210 parts is correct answer.

As, 20 × 3 = 60 seconds

Parts can be stamped in one minute = 24 × 3 = 72

So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]

So, the option D. 60 minutes is c correct answer

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)

Using the relation :

[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]

Lower boundary = 0.078 - 0.0026128 = 0.075

Upper boundary = 0.078 + 0.0026128 = 0.081

Hence, the confidence interval is (0.075; 0.081)

Learn more :

Answer:

58ft

Step-by-step explanation:

100-60=40

40+18=58

the answer is 58ft

(brainliest plz)

Answer:

The curved surface area of cylinder is 251.42 cm².

Step-by-step explanation:

Here's the required formula to find the curved surface area of cylinder :

[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]

Substituting all the given values in the formula to find the curved surface area of cylinder :

[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]

[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]

Hence, the curved surface area of cylinder is 251.42 cm².

[tex]\rule{300}{2.5}[/tex]

If triangle PIN  is rotated -270 degrees about the origin, the new point is at:

P'(-3, 2), I'(7, 7) and N'(7, -2)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated -270 degrees about the origin, the new point is at A'(-y, x).

The triangle PIN has vertices at P(2, 3), I(7, -7) and N(2, -7). If it is rotated -270 degrees about the origin, the new point is at:

P'(-3, 2), I'(7, 7) and N'(7, -2)

Find out more at: https://brainly.com/question/11707700

Answer:

P=(-3,2)

I=(7,7)

N=(7,2)

Step-by-step explanation:

khan

C is the correct answer.

Answer:

2nd one

Step-by-step explanation:

I know this because I learned about this

Answer:

.the same variables and same powers

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

HOPE IT HELPS...............

Answer:

375 fishes

Step-by-step explanation:

12000 divided by 2 is 6000 1st year

6000 divided by 2 is 3000 2nd year

3000 divided by 2 is 1500 3rd year

1500 divided by 2 is 750 4th year

750 divided by 2 is 375 5th year

Answer:

[tex]r\geq -18[/tex]

Step-by-step explanation:

[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]

Hope this helps!

Answer:

3.5t +5

Step-by-step explanation:

We are looking for the total distance

5 miles is the first distance traveled.

Then after the break they travel at a rate of 3.5 miles per hour for t hours

That distance is 3.5t

The total distance traveled is

5+3.5t

Rewriting the order

3.5t +5

Answer:

yes

Step-by-step explanation:

Answer:

1/10 x 30/10=30/100 then simplify =3/10  

Step-by-step explanation:

Hope I helped please mark brainliest!

Answer:

112°

Step-by-step explanation:

3x+22+2x+8=180

5x+30=180

5x=150

x=30

3x+22

3(30)+22

90+22

112

Answer:

m = 0.25w + 3

Step-by-step explanation:

let m = miles

The basic fixed distance is 3 miles

And he adds 0.25 miles every week, for w weeks

So the equation is m = 0.25w + 3

-Chetan K

Answer:

6%

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

2400=4000x r x 10

2400=40000r

2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6

Answer:

2 / z - 9

Step-by-step explanation:

Don't worry division always goes before subtraction so you don't need any parenthesis.

Tell me if I'm wrong :)

Answer:

5 would be the answer.

Step-by-step explanation:

13 divided by 3(weeks) = 4.3

4.3 x 5 = 21.

= 5.

Answer:

the parentheses should be the first.

Step-by-step explanation:

follow the steps using PEMDAS.

P- parentheses

E- exponent

M- multiply

D- divide

A- addition

S- subtraction

Answer:

The answer is 100 - 37. Do not put parenthesis when answering your question.

Step-by-step explanation:

Answer:

It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines

Step-by-step explanation:

Claim: it's a 90 degree rotation around the intersection of f and g.

It's easy to spot the two lines  are perpendicular. Let's assume the rotation doesn't happen at the point of intersection [tex]x_0[/tex], but slightly to the side, around let's say, [tex]x_0+\epsilon[/tex]; the new line will coincide with [tex]g(x)[/tex] if and only if [tex]\epsilon = 0[/tex], ie only the rotation happens around the intersection.

Answer: 12

Step-by-step explanation:

180 = 76 + (3x+3) + (6x-7) = 12

Answer:

3/4

Step-by-step explanation:

Answer:

ssss

Step-by-step explanation:

dddd