Hillary works for a company that offers 75% matching on all of her retirement contributions. For the last 35 years, Hillary has been depositing $200 into her 401(k) savings account that pays 4.99% interest annually. After 35 years, how much money has been deposited into the 401(k) by both Hillary and her employer?

1/3 has the greatest value

1/3 has the greatest value. Hope this helps!

Answer: [tex]\dfrac{2}{13}[/tex]

Step-by-step explanation:

Given : A bag contains 6 red balls, 4 green balls, and 3 blue balls.

Total balls = 6+4+3=13

Probability of drawing first ball as green :

[tex]P(G)=\dfrac{\text{Number of green balls}}{\text{Total balls}}\\\\=\dfrac{4}{13}[/tex]

If the first ball will be green, then the total balls left in bag = 13-1=12 and number of red balls remains the same.

Now, The conditional probability of drawing a red ball given that first ball was green :-

[tex]P(R|G)=\dfrac{\text{Number of red balls}}{\text{Total balls left}}\\\\=\dfrac{6}{12}=\dfrac{1}{2}[/tex]

Now,  the probability that the first ball will be green and the second will be red will be :-

[tex]P(G\cap R)=P(G|R)\times P(G)\\\\=\dfrac{4}{13}\times\dfrac{1}{2}=\dfrac{2}{13}[/tex]

Hence, the required probability = [tex]\dfrac{2}{13}[/tex]

Answer:

B

Step-by-step explanation:

okay so x^2+10x+29=0

subtract 29 from both sides giving you:

x^2+10=-29

next, used (b/2)^2 to create a trinomial square, which will be 5 so you will have:

x^2-10x+(-5)^2=-29+(-5)^2

Then, simplify the equation:

x^2-10x+25=-4

Next, factor into (x-5)^2 which is:

(x-5)^2= -4

Finally, solve for X:

x=5 +/- 2i

x2+10×+29=0

answer is A 5+2i

okay so I'm going to be honest I'm not fully sure if my answer is correct but I think that you must add it up and they answer that you will get is 64 because remember 4 + 2 equals 6 and 4 + 0 equal 4

Answer:

[tex]40\pi\text{ cubic feet}[/tex]

Step-by-step explanation:

Given,

The diameter of the pipe = 24 inches,

⇒ The diameter of the section = 24 inches

And, it is laid in 40 foot section,

So, the height of each section = 40 feet,

Since, the shape of a pipe is cylindrical,

The volume of a cylinder is,

[tex]V=\pi (r)^2 h[/tex]

Where, r is the radius,

h is its height,

Here, r = [tex]\frac{24}{2}[/tex] = 12 inches = 1 feet,

Also, h = 40 foot,

Thus, the quantity of water hold by the section = Volume of the section

[tex]=\pi (1)^2(40)[/tex]

[tex]=40\pi \text{ cubic feet}[/tex]

Answer:

the answer would be b)

Step-by-step explanation:

Answer:

B) four right angles

Step-by-step explanation:

The definition of a rhombus is that it is an equilateral quadrilateral.

This definition knocks out A.

C and D can also be knocked out because opposite angles are congruent, so they both must also be true.

Also, B is the requirement for a square, not a rhombus.

Answer:

.54 repeating

(.54 with a bar over the 54)

Step-by-step explanation:

6/11 means  6÷11. That is .545454545454 ...

You would write this as .54 with a bar over the 54.

I'm back again....xD

1) C'(-3, -3)

2) A - Location - Yes

B - Orientation - No

C - Size - No

3) Don't kill me, but I actually don't know this one...sorry

4) X'

5) A - Angle measures - No

B - Perimeter - No

C - Orientation - Yes

6) Rotated 90° counter-clockwise; (x, y) → (-y, x)

7) Y'(-2, -3)

8) A (x, y) → (-x, y)

9) A - Same Shape - Yes

B - Same Area - No

C - Same Perimeter - No

D - Similar - Yes

10) X'(-1.6, 0.5)

11) A - Translation - Yes

B - Rotation - Yes

C - Dilation - No

D - Reflection - Yes

Answer:

y=2

Step-by-step explanation:

2(3y -6)=0

multiply 2 times 3y-6

6y-12=0

add 12 to both sides

6y=12

devide by 2

y=6

Answer:

y = (3 × 10^8 m/s)/x

Step-by-step explanation:

Speed of a wave is given by the product of wavelength and frequency.

Thus; speed = frequency × wavelength

If  x = wavelength and y = frequency then speed will be;

speed = yx

Thus to get wavelength, y;

y = speed/x , but speed is 3 × 10^8 m/s

Thus;

y = (3 × 10^8 m/s)/x

Answer:

The Answer is D y= x/3x10squareroot8 m/s

Because its right on edg

Answer:

an = 2 - 3n ⇒ The third answer

Step-by-step explanation:

∵ a1 = -1

∵ a2 = -4

∵ a3 = -7

∵ a2 - a1 = -4 - -1 = -3

∵ a3 - a2 = -7 - -4 = -3

∴ It is an arithmetic sequence with

  1st term = -1 and constant difference = -3

∵ The rule of any arithmetic is: an = a + (n - 1)d

∵ a = -1 and d = -3

∴ an = -1 + (n - 1)(-3)

∴ an = -1 - 3n + 3

∴ an = 2 - 3n ⇒ The third answer

8,9,10

That is the answer

8,9,10 would be the answer

because 16-8 is 8 and that is equal to the inequality <8

because 16-9 is 7 which is less than 8

because 16-10 which is 6 and is smaller than 8

Answer:

The third option C.

Step-by-step explanation:

Answer:

The graph C is the right answer.

Step-by-step explanation:

Gareth is playing a racing game. To get star rating 1, Gareth needs to win four races. Thereafter, for every three races he wins, his star rating increases by one.

So, the graph that represents this - The C graph.

We can see that the graph travels 3 places right and then 1 up. The blue solid dot represents the final count. The light dotted is the initial travel period of the graph.

After the graph moves 1 point up, it again travels 3 points right and this continues at each step.

So, C is the right graph.

Answer:

5.68 and -6.68

Step-by-step explanation:

Use the quadratic formula.

x = (-b+-sqrt(b^2-4ac))/2a

Now let's find the values of a b and c.

Use the standard form of the quadratic equation.

ax^2+bx+c = 0

Using this we can find the values of a b and c.

a = 1

b = 1

c = -30-8

c = -38

Now plug in the values.

We get,

(-1+-3sqrt(17))/2

Which rounded to the nearest hundredth is about,

5.68 and -6.68

Answer:

-6.18

Step-by-step explanation:

First we need to get this into an equation form that will allow us to factor it.

x^2+cx+c

Make one side of the equation equal to zero.

x^2+x-30=8  

-8      -8

x^2+x-38=0

We can't use the zero product property because it is impossible to multiply numbers to get -38 and the same numbers at to 1. Therefore, let's use the quadratic formula. y=-b√b^2-4(a)(c) /2a

Then, identify your a, b and c. A=your squared number, B= your number neing multiplied by a varable (1x or x), and C is your whole number.

a=1

b=1

c=-38

y=-1√1^2-4(1)(-38) /2(1)

Simplify

y=-1√1+152 /2

y=-1√153 /2

y=-3√17/2

Decimal form: −6.18465843

About -6.18 is your answer.

Hope I helped!

Answer:

This is true.

Step-by-step explanation:

+ ^2 + 6x -27

The quadrilaterals that have consecutive angles equal to each other are Square and a Rectangle, the correct option is A and C.

Quadrilateral is a polygon with four sides.

The quadrilaterals with consecutive angles always congruent are:

Square : The square has all angles of equal measure of 90 degrees.

Rectangle: A rectangle also has all angles equal to 90 degree.

To know more about Quadrilateral

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Answer:

The answer to this is 34 minutes and 50 seconds.

Step-by-step explanation:

First, I multiplied 23 x 2 = 46 because I wanted to see how much minutes it could be in 20 minutes.

Then, I got the answer by getting the median.

23 - 46

the median of that is 34.5. Therefore, the expected time for 15 laps is 34 minutes and 50 seconds.

Hope this Helped!!!!

~Shane

Answer:

34.5 Is the answer or 34 minutes and 5 seconds.

Step-by-step explanation:

1) Set a Proportion Minutes on top over laps

23/10 = x/15

2) cross Multiply

10 times x = 10x

23 times 15 = 345

3) Solve for X (x is the amount of minutes for 15 laps)

345 = 10x

Divide 10 on both sides

345/10= 34.5

Hopes this Helps you !

For the expression "X is 110% of 10," X is equal to 11.

For the expression "y% of 50 is 3.5," the value of y is 7.

From the information given, we can solve for both x and y:

1. Finding x:

"X is 110% of 10" means that x is equal to 110% multiplied by 10.

110% can be written as a decimal by dividing by 100: 110/100 = 1.1

Therefore, x = 1.1 * 10 = 11.

2. Finding y:

"y% of 50 is 3.5" means that y% multiplied by 50 is equal to 3.5.

To solve for y%, we can rearrange the equation: y% = 3.5 / 50.

To express y as a percentage, we can multiply by 100: y = (3.5 / 50) * 100 = 7.

Complete question:

Calculate the percentage: X is 110% of 10, y% of 50 is 3.5

Final answer:

We calculated x by determining that it's 110% of 10, which results in x being 11. Then, we solved for y by understanding that y% of 50 equals 3.5, leading to the conclusion that y is 7.

Explanation:

To solve for x, we consider that it is 110% of 10. To convert a percentage into a decimal, we divide by 100, so 110% becomes 1.10. Therefore, x = 1.10 × 10. After multiplying, we get x = 11.

For the second part, we have y% of 50 is 3.5. The equation can be represented as (y/100) × 50 = 3.5. To find y, we divide both sides by 50 and then multiply by 100 to get y = (3.5 × 100) / 50. Solving for y, we find y = 7.

Answer: 4=y

Step-by-step explanation:

6(7 -3y)+6(y+1)

42-18y+6y+6

48-12y

48/12=4

12y/12=y

4=y

The student's algebraic expression simplifies to 48 - 12y.

The question involves simplifying an algebraic expression. Let's solve it step by step:

Distribute the 6 to each term inside the first parentheses: 6(7) / (- 6(3y)).

Do the same for the second parentheses: 6(y) + 6(1).

Combine like terms by adding or subtracting the coefficients.

Let's simplify the expression now:

6(7) - 6(3y) + 6(y) + 6(1).

42 - 18y + 6y + 6.

Combine the terms with y: -18y + 6y = -12y.

The final simplified expression is 42 - 12y + 6.

Combine the constant terms: 42 + 6 = 48.

The final answer is 48 - 12y.

Answer:

There are many solution for this problem

The solutions are -2, -3, -4..... And even fractions like -11/7, -12/7, etc.

Hope this helps!

For this case we indicate the solution of the following e-inequality:

[tex]-7x> 10[/tex]

We divide between "-7" on both sides of the inequality, keeping in mind that when doing this operation the sign will change, since we operate with a negative sign.

So:

[tex]\frac {-7x} {- 7}> \frac {10} {- 7}\\x <- \frac {10} {7}[/tex]

Thus, the domain of the variable "x" is given by all the numbers smaller than -[tex]-\frac {10} {7}[/tex]

ANswer:

[tex]x <- \frac {10} {7}[/tex]

Answer:

it would be 4/5 because c= 5 and b=4

Answer:

b/c = 20/3

Step-by-step explanation:

a/b =3/4

a/c = 5

a/c =5

Divide both sides by a/b

a/c ÷a/b = 5÷a/b

Replace the a/b on the right by 3/4 since they are equal

a/c ÷a/b = 5÷3/4

We will use copy dot flip

a/c * b/a  = 5 * 4/3

b/c = 20/3

Answer:

Step-by-step explanation:

use the compass and find the midpoints of each side of the triangle. the use the ruler and find the radius and connect it to the vertex ISO - trigonometric diameter. Mark the angles as 90 deg corresponding to the rays formed by the radii. simple :)

Answer: PLATO ANSWER

Step-by-step explanation:

Step 1: Place the compass needle on vertex A, adjust the width of the compass to a medium setting, and draw one arc on line segment AB and one on line segment AC.

Step 2: Place the compass needle on the point where the arc intersects line segment AB and draw an arc inside the triangle. Without changing the compass setting, place the compass needle on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection P.

Step 3: Draw line segment AP. This is the angle bisector of angle A.

Step 4: Place the compass needle on vertex C, adjust its width to a medium setting, and draw arcs intersecting line segment BC and line segment AC.

Step 5: Place the compass needle on the point where the arc intersects line segment BC, and draw an arc inside the triangle. Without changing its setting, place the compass on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection Q.

Step 6: Draw line segment CQ. This is the angle bisector of angle C.

Step 7: Label the intersection of the angle bisectors M. This is the center of the inscribed circle.

Step 8: Place the compass needle on M, and draw two arcs on line segment BC.

Step 9: Place the compass needle on one of the points where an arc intersects line segment BC, and draw an arc outside the triangle; repeat from the point where the other arc intersects line segment BC to create two intersecting arcs outside the triangle. Draw a line from M passing through the point of intersection outside the triangle. This is a perpendicular line from M to line segment BC. Mark the point where the line intersects line segment BC, and label it N.

Step 10: Place the compass needle on M, set its width to N, and draw a circle. This is the inscribed circle of triangle ABC.

The correct answer is (D).

40x-72 because 8×5x is 40x and 8×9 is 72

Look at the dots for each week and see how much money was in the account.

Week 1 was 10, week 2 was 30, this means he saved 20

Week 5 was at 50, week 6 was at 80, this means he saved 30, which was the most.

The answer is 5 & 6.

Semiannually means twice a year, so you multiple $67,000 by 2.

The annual salary is $134000

Semiannual is a term that describes something that is paid twice each year, typically once every six months.

Since semiannually salary is $67,000 so the annual salary will be

$67,000 x 2 = $134000

0.7 x 5.32= 3.759

To Make it simpler = $3.75

3 dollars and 75 cents.

I hope I’m right ^^

Sid spend $3.724 on his bag material.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

According to the question

Sid needs 0.7 meters of canvas material to make a carry all bag for his wheelchair.

If the canvas is $5.32 per meter how much will Sid spend.

Based on the given conditions , formulate

= [tex]0.7 \times 5.32[/tex]

= $3.724

Sid spend $3.724 on his bag material.

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Answer:

8

Step-by-step explanation:

what I did was that first I multiplied 5 and 3.

So that will give you 15.

Then I divided 120 and 15.

Leading to the answer 8.

8.25 rounded off to the nearest whole number is 8, because the digit after the decimal point (2) is less than 5, which implies that we do not increase the whole number part.

To round off 8.25 to the nearest whole number, we look at the digit to the right of the decimal point, which is 2. Since this digit is less than 5, we keep the digit before the decimal point as it is. Therefore, 8.25 rounded off to the nearest whole number is 8.

When rounding numbers, such as rounding off 0.028675 to 0.0287 or 92.85 to 92.8, a key rule to remember is that if the dropped digit is greater than or equal to 5, you round up; if less, you round down. Applying this principle, we see that because 2 is less than 5, 8.25 rounds down, leaving us with 8 as the rounded result.

Answer:

Step-by-step explanation:

3350 to the nearest ten is 3350

Answer:

B

Step-by-step explanation:

When x=0,

Y=1/2(0)+1

Y=1

Look for the line with the point (0,1)