Gabe contributes to an employer-sponsored 401(k) plan. For the first 6% of
Gabe's salary, his employer matches 100% of his 401(k) contributions, and
from 6% to 12%, Gabe's employer matches 50% of his 401(k) contributions,
Gabe's salary is $30,000, and last year he contributed $4000 to his 401(k)
plan. What was the total amount that was contributed to his 401(k) last year?

Answers

Answer 1

Answer:

$6700

Step-by-step explanation:

A. p. 3. x


Related Questions

ASAP can one of y’all help me do surface how do you do it

Answers

Answer:

false

Step-by-step explanation:

solid A surface area-112

solid B surface area-136

to find the surface area of a rectangular prism the equation is  2(lw + lh + wh)

Solid A  4*8+4*2+8*2

32+8+16

56*2=112

Solid B 2*2+2*16+2*16

4+32+32

68*2=136

What is the 9th row of Pascal's Triangle?

Group of anwers

1,10,45,120,200,252,200,120,45,10,1

1,8,28,56,70,56,28,8,1

1,9,36,84,126,126,84,36,9,1

Pascal's Triangle does not have 9 rows.

Answers

Answer:

Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1

Step-by-step explanation:

in the pascal triangle the first row start with 0.

4.


Which graph represents the following system of equations?

y = 3x + 3
y = –x – 3


A. Graph c


B. Graph b


C. Graph d


D. Graph a

Answers

Answer:  Graph D (bottom right corner)

======================================================

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

Answer:

Step-by-step explanation:

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

...............................................................................................................................................

Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

...............................................................................................................................................

y=x−8

​y=12x−5​

...............................................................................................................................................

Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

...............................................................................................................................................

we have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points  and  and is shaded above the line.

The line is solid

The line passes through points  and  and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.

A die is rolled. The set of equally-likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of rolling a number greater than 4.

Answers

Answer:

33.33 percent or 2:4

Step-by-step explanation:

Ignacia is comparing prices on pineapple juice. Brand A sells 24 oz. for $2.64. Brand B sells 36 oz. for $3.60. Brand C sells 12 oz. for $1.68. Brand D sells 100 oz. for $10.50. Which brand offers the best price per oz.?

Answers

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

A library labels each book with a six-character code to identify the book in its computer system. The first character is either a letter or digit, and this is followed by three digits, then two letters. How many different codes are possible

Answers

Answer: There are 24336000 different codes that are possible.

Step-by-step explanation:

We know that,

Total alphabets = 26

Total digits = 10

Choices for First place = 26+10=36

Choices for next 3 places = 10 x 10 x 10 = 1000

Choices for last 2 places = 26 x 26 = 676

Total different codes are possible = 36 x 1000 x 676

=24336000

Hence, there are 24336000 different codes that are possible.

The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm
2
484, pi, start text, space, c, m, end text, squared.
What is the diameter of an extra large pizza from Gambino's Pizzeria?

Answers

Answer:

44cm

Step-by-step explanation:

Answer:

44 cm

Step-by-step explanation:

The slope of the line that contains the points (4, 10) and (5, 13) is 3. Find the y-intercept.

A. -26

B. -2

C. 8

D. 34


The slope of the line that contains the points (-2, -1) and (3, 19) is 4. Find the y-intercept.
A. -7
B. -2
C. 2
D. 7

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (4, 10 ) , then

10 = 12 + c ⇒ c = 10 - 12 = - 2 → B

D

Given m = 4 then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 19 ), then

19 = 12 + c ⇒ c = 19 - 12 = 7 → D


1) A museum charges different rates for adults and students. Adult
tickets are $14.50 and student tickets are $8.00. Ms Olivis class went
to the museum last week and spent $232.50 on 25 tickets. How
many students and how many adults went to the museum?

Answers

Answer:

Step-by-step explanation:

What is the answer to 10 to the power of 8

Answers

Answer:

Step-by-step explanation:

10^8

it means multiply 10 8 times so

10*10*10*10*10*10*10*10

=100000000

Ellise has 4 times as much money as her sister. If Ellise has php 10.40, how much money does her sister have?

Answers

Answer:Ellise's sister has php 2.4

Step-by-step explanation:

Let the amount of money Ellise sister has be = x

and amount Ellise has be =4x

since Ellise has  php 10.40

her sister will have php 10.40/4 = php 2.4

Help me!!!!!!!!! For 10 points

Answers

Answer: Hope this helps!

XYW=48 degrees

X=16

Step-by-step explanation:

So the angles are on a straight line. A straight line is 180 degrees. If you subtract 132 by 180 you get 48. Now to solve for x I divided 48 by 3. And I got 16.  

Step-by-step explanation:

1). m∠ XYW = 180° - 132°

= 48°

2). 3x + 132 = 180°

3x = 180° - 132°

3x = 48°

x = 48/3

x = 16°

#CMIIW

Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?​

Answers

Answer:5.7

Step-by-step explanation:

Which equation has no real solutions?

Answers

Answer:

C is the answer

Step-by-step explanation:

Can someone tell me what I did wrong?

Answers

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

help! (equivalent fractions)
it has three questions, please awnser the three! thank you!!!​

Answers

Answer:

1. answer is 12

2. answer is 18

3. answer is 2

which of these figures has rotational symmetry

Answers

Answer: The answer is C

Step-by-step explanation:

The reason is because if you make a line in between it would be symetrical (up, down, left, right).

The answer is C to your question

Krysta measured the floor of her storage unit, which is rectangular. It is 12 feet wide and 13 feet from one corner to the opposite corner. How long is the storage unit?

Answers

Answer:

The Answer is 14 feet. your answer

PLEASE HELP!!!! I'LL GIVE BRAINLIEST NO LINKS OR YOU'LL BE REPORTED:)))))))))) Describe the distributive property. How is it different from other properties. Can you give an example?

Answers

Answer:

when u distribute a number you are basically giving the number off and multiplying other factors by that number

Step-by-step explanation:

3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12

the diameter is a circle is 18cm. Find it’s circumference in terms of π.

C= ________cm

Answers

answer should be 56.55

Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

when the “a” value is negative in any quadratic what do you know about the graph?

Answers

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Verify that:
1. (CosX)(CotX) = CscX - SinX

2. (Csc X - CotX)^2 = 1-CosX/1+CosX

These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!

Answers

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Pls answer quick 45 points :))

Answers

Answer:

5

Step-by-step explanation:

Point s is locaded 5 units to the right of point t plot the point that represents the location of point s select the place on the coordinate plane to plot the point

Answers

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]t = (-1,2.5)[/tex] ---- coordinates of t

s = 5 units to the right of t

Required

Plot s

First, we determine the coordinate of s

The rule to translate a point to the right is:

[tex](x,y) \to (x + h,y)[/tex]

Where h is the number of units

i.e.

[tex]h= 5[/tex]

So, we have:

[tex]s = (-1 + 5, 2.5)[/tex]

[tex]s = (4, 2.5)[/tex]

See attachment for plot

AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If the two triangles are related by a dilation factor, which of the following could be a rule for the dilation?
Select one:

O (I,y) → (4x, 4y)

0 (x,y) → (6x, 6y)

O (x,y) → (2, y)

0 (r,y) → (16x, 16y)​

Answers

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

Five less than twice Garrett's age is one half of Mary's
age increased by 6. Which equation represents the
relationship between g, Garrett's age, and m, Mary's age?

Answers

Answer:

2g - 5 = 1/2(m) + 6

Step-by-step explanation:

Let Garrett's age be g and Mary's m. Hint: "is" in these type of word problems will typically be the equation's "=" sign.

2g - 5 = 1/2(m) + 6

PLEASE HELP ASAP NOO LINKS!!!

Answers

Answer:

b

Step-by-step explanation:

Based on the coordinates above what kind of quadrilateral wil be formed by their route? How do you know?

Answers

Answer:

Rectangular route

Step-by-step explanation:

Given

H(-4, 3)    B (2, 11)   F (6, 8)   C (0, 0)

Required

The type of route

First, calculate the distance between adjacent points i.e. HB, BF, FC and CH

Where

HB and FC are opposite

BF and CH are opposite

Using distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

HB

[tex]H =(-4, 3) \to (x_1,y_1)[/tex]

[tex]B = (2, 11) \to (x_2,y_2)[/tex]

[tex]HB = \sqrt{(-4- 2)^2 + (3 -11)^2}= \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

BF

[tex]B = (2, 11) \to (x_1,y_1)[/tex]

[tex]F = (6, 8) \to (x_2,y_2)[/tex]

[tex]BF = \sqrt{(2- 6)^2 + (11 -8)^2}= \sqrt{(-4)^2 + (3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

FC

[tex]F = (6, 8) \to (x_1,y_1)[/tex]

[tex]C =(0, 0) \to (x_2,y_2)[/tex]

[tex]FC = \sqrt{(6- 0)^2 + (8 -0)^2}= \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

CH

[tex]C =(0, 0) \to (x_1,y_1)[/tex]

[tex]H =(-4, 3) \to (x_2,y_2)[/tex]

[tex]CH = \sqrt{(0-- 4)^2 + (0 -3)^2}= \sqrt{(4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

So, we have:

[tex]HB = FC = 10[/tex]

[tex]BF = CF = 5[/tex]

Sine the opposite sides are equal; We can conclude that the route is a rectangle

PLEASE HELP ME I'LL APPRECIATE IT!!!!
Simplify the expression. Write your answer in positive exponent form:

9^5/9^4

Answers

Answer:

The answer is 9^1 or simply 9.

Consider the series One-fourth, StartFraction 1 Over 16 EndFraction + StartFraction 1 Over 64 EndFraction + StartFraction 1 Over 256 EndFraction + ellipsis

Which expression defines Sn?

Answers

Answer:

C, I got it right

Step-by-step explanation:

The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.

The sum of the given series is:

[tex]\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

The given series is a geometric series. So, we first calculate the common ratio (r) using:

[tex]r = T_2 \div T_1[/tex]

From the series, we have:

[tex]T_1 = \frac{1}{4}[/tex]

[tex]T_2 = \frac{1}{16}[/tex]

So, the equation becomes

[tex]r = \frac{1}{16} \div \frac{1}{4}[/tex]

Rewrite as product

[tex]r = \frac{1}{16} * \frac{4}{1}[/tex]

[tex]r = \frac{1}{4}[/tex]

The formula to calculate the sum of a geometric series of is:

[tex]S_n = \frac{a(1 - r^n )}{1-r}[/tex]

Where

[tex]a = T_1 =\frac{1}{4}[/tex] -- the first term

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}[/tex]

Simplify the denominator

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}[/tex]

Divide 1/4 by 3/4

[tex]S_n = \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

We can conclude that, the sum of the series is:

[tex]S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

Read more at:

https://brainly.com/question/21087466

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