Wayne is 37 years old and has his retirement savings in a
401(k). If he makes $110,000 annually, what is the maximum
percentage of his income that he can contribute to his 401(k)
plan per year?
A. 12%
B. 30%
C. 15%
D. 16.5%
ANSWER: C. 15%​

Answers

Answer 1

Answer:

15%

Step-by-step explanation:

Answer 2

15Answer:

Step-by-step explanation:


Related Questions

Flavor of Crisps Probability of Buying
Cheese Crisps 7/25
Bacon Crisps 1/4
Ranch Crisps 3/25
Salsa Crisps 7/20
A grocery chain conducted a random survey to determine the favorite flavor of a new potato crisp. The results are shown on the table. Which flavor is MOST LIKELY to sell BEST if stocked by the grocery chain?

A) Ranch Crisps
B) Salsa Crisps
C) Cheese Crisps
D) Barbecue Crisps

Answers

Answer:

b

Step-by-step explanation:

The flavor most likely to sell best if stocked by the grocery chain is B. Salsa Crisps, as it has the highest probability of purchase at 0.35.

To determine which flavor of potato crisps is most likely to sell best if stocked by the grocery chain, we need to compare the given probabilities.

Cheese Crisps: [tex]\frac{7}{25}[/tex] = 0.28Bacon Crisps: [tex]\frac{1}{4}[/tex] = 0.25Ranch Crisps: [tex]\frac{3}{25}[/tex] = 0.12Salsa Crisps: [tex]\frac{7}{20}[/tex] = 0.35

From these calculations, we can see that Salsa Crisps have the highest probability (0.35) of being bought. Therefore, Salsa Crisps are the most likely to sell best if stocked by the grocery chain.

The correct answer is Salsa Crisps.

Norma has 9 pies to divide among 4 friends. How many pies will each friend receive if all of the pies must be used and can be divided into smaller parts?

Answers

Answer:

2 1/4

Step-by-step explanation:

Elle earned $45 last month babysitting. This month she earned $35. What is the percent decrease?

Answers

Answer:

10percent

Step-by-step explanation:

I think

Final answer:

Elle experienced a 22.22% decrease in earnings from babysitting, from $45 to $35. This is calculated by finding the difference between the two amounts, dividing by the original amount, and then multiplying by 100 to convert to a percentage.

Explanation:

Elle's decrease in earnings can be calculated using the formula for calculating the percentage decrease, which is [(Original value - New value)/(Original value)] * 100.

In Elle's case, the original value is $45 (the amount she earned last month), and the new value is $35 (the amount she earned this month). So, follow the formula:

Subtract the new value from the original value: $45 - $35 = $10Divide the decrease by the original value: $10/$45 = 0.2222Multiply the result by 100 to convert it to a percentage: 0.2222 * 100 = 22.22%

So, Elle experienced a 22.22% decrease in her earnings from babysitting.

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Write an equation for the nth term of the geometric sequences-3,6,-12,......

Answers

Answer:

Write an equation for the nth term of the geometric sequences-3,6,-12,....

an= ar∩-1

a= first term

r= common ratio

an= nth term

an= -3 x (-2) (-12-1)

an= -3 x (-2) (-13)

an= -3 x (-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)

an= -3 x -16384

nth term= 49152

Step-by-step explanation:

A new car is Purchased for 16200 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent,after 6 years?

Answers

Answer:

6,440.5

Step-by-step explanation:

So the car starts at 16,200. For the first part of the equation it's 16,200 × x raised to the y. X in this equation would be 1-.1425 = 0.8575. 16,200×(.8575)^y. Y is the number of years after you purchased the car. So, 16,200×(.8575)^6 and that equals 6,440.5

Answer:

$6440.5

Step-by-step explanation:

I hope this helps!

In the isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=3(HC) then determine BC.

Answers

In isosceles triangle ABC with AB=AC=4, and AH=3HC, the length of BC is [tex]\( \frac{4\sqrt{5}}{5} \)[/tex] units, determined using the Pythagorean Theorem and the given relationship between AH and HC.

In isosceles triangle ABC, let BH be the altitude from B to side AC. Given AB = AC = 4 and AH = [tex]3 \cdot[/tex] HC, we can use the Pythagorean Theorem in right triangle ABH:

[tex]\[ BH^2 + AH^2 = AB^2 \][/tex]

Substitute the given values:

[tex]\[ BH^2 + (3HC)^2 = 4^2 \][/tex]

Simplify:

[tex]\[ BH^2 + 9HC^2 = 16 \][/tex]

Since BH = HC in an isosceles triangle, substitute BH with HC:

[tex]\[ HC^2 + 9HC^2 = 16 \][/tex]

Combine like terms:

[tex]\[ 10HC^2 = 16 \][/tex]

Solve for HC :

[tex]\[ HC^2 = \frac{8}{5} \][/tex]

Now, use the Pythagorean Theorem in right triangle BHC:

[tex]\[ BC^2 = BH^2 + HC^2 \][/tex]

Substitute the known values:

[tex]\[ BC^2 = HC^2 + HC^2 \]\[ BC^2 = 2HC^2 \]\[ BC^2 = 2 \cdot \frac{8}{5} \]\[ BC^2 = \frac{16}{5} \][/tex]

Therefore, BC is the square root of [tex]\( \frac{16}{5} \)[/tex], which simplifies to [tex]\( \frac{4}{\sqrt{5}} \)[/tex] or [tex]\( \frac{4\sqrt{5}}{5} \)[/tex].

Final answer:

The length of BC in an isosceles triangle with sides AB=AC=4 and altitude BH, where AH=3(HC), is 2√2 units.

Explanation:

To determine the length of BC in an isosceles triangle ABC with sides AB=AC=4 and altitude BH, where AH=3(HC), we can use the properties of similar triangles and the Pythagorean theorem.

Since the triangle is isosceles, the altitude BH will bisect the base AC at H, creating two right triangles ABH and CBH. We know that AH=3(HC), which can be expressed as AH=3x and HC=x for some value x. Therefore, AC = AH + HC = 3x + x = 4x.

Using the Pythagorean theorem (a² + b² = c²), in triangle ABH, we get:

AH² + BH² = AB²(3x)² + BH² = 4²9x² + BH² = 16

And in triangle HBC, we have:

HC² + BH² = BC²x² + BH² = BC²

Since we want to find BC, we first solve for BH from the first right triangle:

BH² = 16 - 9x²

Substitute BH² into the second equation:

x² + (16 - 9x²) = BC²-8x² + 16 = BC²

To find x, we use AC = 4x = 4, thus x = 1. Substituting x into the equation for BC, we get:

-8(1)² + 16 = BC²-8 + 16 = BC²BC² = 8BC = √8BC = 2√2 units

Explain how to write the equations of vertical lines, and why they are written this way

Answers

1. Recall the vertical line equation.

2. Plug in the x that we know.

3. Write down the final equation

Pls mark me brainiest :)

Solve 3x + k = cfor x.

Answers

First, subtract k from both sides. That means c - k is in the left side and 3x is on the right. Then, divide by 3 on both sides. So, the answer is x = (c - k) / 3.

Find the value of X. Please answer.

Answers

Answer:

x= 12

Step-by-step explanation:

Please see attached picture for full solution.

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue , 1 red , and 1 orange section is?

Answers

Hey there!

[tex]\large\boxed{25\%}[/tex]

Assuming that all the sections are the same size, there are four sections of equal size.

Blue would be one out of those four sections, so the probability is 1/4. In decimal form this is .25, and as a percent this is 25%.

Hope this helps!

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue , 1 red , and 1 orange section is 1/4.

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4 or 25%.

Total = 1+1+1+1 = 4

Number of blue =1

Therefore, probability =1/4

help! need asap! brainiest if right

Answers

Reflect across the y- axis and then translate 1 unit left.Translate 4 units up then rotate 180° counterclockwiseReflect across the y- axis then rotate 45° counterclockwise.

Step-by-step explanation:

After the translation, rotation and reflection position of the image may differ but the side lengths, angle, orientation remains the same, so that the congruence is maintained, but in dilation the size of the image may get enlarged or reduced, so that congruence is not there.

Parallelograms are congruent when

Reflect across the y- axis and then translate 1 unit left.

Reflect across the y- axis then rotate 45° counterclockwise.

Translate 4 units up then rotate 180° counterclockwise

Parallelograms are non-congruent when

Translate 5 units right then dilate by a factor of 2

Rotate 90° clockwise then dilate by a factor of 6

Dilate by a factor of 3 then reflect across the x- axis

Create a chart to show how to use the distributive property to simplify the expression: 7 (5x +
10) – 10x.

Answers

Answer:

25x + 70

Step-by-step explanation:

Step 1:  Distribute

7 (5x +  10) - 10x

7*5x + 7*10 - 10x

35x + 70 - 10x

25x + 70

Answer:  25x + 70

Brainliest Giveaway!! Also gives all of my points.!!

Answers

Answer:

wf

axStep-by-step explanation:

Answer:

Her ride is about 15.1 miles long.

Step-by-step explanation:

40.03 = 6.75 + 3.20m

33.28 = 3.20m

ISOLATE M

m = 15.1272

m = 15.1

Write an inequality to describe the relationship between -1 2/3 and -1/4.

Answers

Answer:

-14>-1 2/3

Step-by-step explanation:

Answer:

-14>-1 2/3

Step-by-step explanation:

The width of a rectangle is 2m less than the length. The area is 48m squared. Find the dimensions.

Answers

Length of the rectangle is 8m and width is 6m

Step-by-step explanation:

Step 1: Given area of the rectangle = 48m². Let the length be x, then the width is x - 2. Find the dimensions using the area of the rectangle = length × breadth

48 = x (x - 2)

48 = x² - 2x

x² - 2x - 48 = 0

x² - 8x + 6x - 48 = 0

x(x - 8) + 6(x - 8) = 0

(x + 6)(x - 8) = 0

x = -6, 8 (neglecting the negative value)

∴ Length of the rectangle = 8m

∴ Width of the rectangle = 8 - 2 = 6m


Find the value of x.

m∠FGH = 148°
m∠FGL = (x + 12)°
m∠LGH = (16x)°

A) 3
B) 5
C) 6
D) 8

Answers

Option D:

x = 8

Solution:

Given data:

m∠FGH = 148° , m∠FGL = (x + 12)°  and m∠LGH = (16x)°

To find the value of x:

m∠FGL + m∠LGH = m∠FGH

⇒ (x + 12)°  + (16x)° = 148°

⇒ x° + 12°  + 16x° = 148°

⇒ 17x° + 12° = 148°

Subtract 12° from both sides of the equation.

⇒ 17x° = 136°

Divide by 17 on both sides, we get

⇒ x° = 8°

x = 8

Option D is the correct answer.

Answer:D

Step-by-step explanation:I did it on usatestprep trust me.

I NEED HELP ASAP WITH THE QUESTION

Answers

Equivalent expression for x + x + x + x + x is 5x and that of 18y - 12 are 6·3y - 6·2 and 6(3y - 2)

Step-by-step explanation:

Step 1: Find equivalent expression for x + x + x + x + x. It is 5x. Step 2: Find equivalent expressions for 18y - 12

Equivalent expressions are 6·3y - 6·2 and 6(3y - 2)

What is the value of x, given that PQ parallel to BC

Answers

Answer:

since PQ ||BC,

Angle A is common for both triangles angle P = angle B

triangles ABC, APQ are similar,then their corresponding sides are in proportion

AP/PB =AQ/QC

4/8=x/16

x=8

Do you know basic proportionality theorem ? You can solve the problem easily by this.

In short: BPT is if a line is parallel to a side of the triangle which intersects the other sides imto two distinct points, then the line divides those sides in proportion.

In your problem, it's given that the mutual lines are parallel (PQ || BC), so it makes it divide |AP| with |AB| and |AQ| with |AC| proportionally.

|AP| / |AB| = |AQ| / |QC|

4/12 = x/16+x

4(16+x) = 12x

x=8

Hope it helps!

#MissionExam001

I WILL GIVE BRAINLIEST
Answer must be simplified
4x ≤ 12

Answers

Answer:   x ≤ 3

Step-by-step explanation:

4x ≤ 12

divide each side by 4

x≤3

In circle A. MRH = 45° and mÞH =
80°. What is m&PAR?

Answers

Answer:

D

Step-by-step explanation:

∠ PAR is an angle at the centre of the circle subtended by the arc PR

The central angle is equal to the arc that subtends it, thus

∠ PAR = arc PH + arc HR = 80° + 45° = 125° → D

What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

X = 29

fyfufubivih8g8hih

Answer: X = 29

X + 61 = 90

x+61−61=90−61

x=29

find the recursive formula.
-28, -35, -42, -49, ...​

Answers

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 7

Step-by-step explanation:

Note the common difference d between consecutive terms in the sequence, that is

d = - 35 - (- 28) = - 42 - (- 35) = - 49 - (- 42) = - 7

Thus to obtain a term in the sequence subtract 7 from the previous term

[tex]a_{n+1[/tex] = [tex]a_{n}[/tex] - 7 with a₁ = - 28

True or false the triangle was rotated 90 degrees counterclockwise?

Answers

Answer:

False

Step-by-step explanation:

if it was counter clockwise it be in the 2 and 3 quadrants

False it would be clockwise

$800 is deposited in an account
that pays 9% annual interest,
compounded annually. Find the
balance after four years.

Answers

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

A = the future value of the investment/loan, including interestP = the principal investment amount (the initial deposit or loan amount)r = the annual interest rate (decimal)n = the number of times that interest is compounded per unit tt = the time the money is invested or borrowed for

∵ $800 is deposited in an account

P = 800

∵ The account pays 9% annual interest

r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

n = 1

∵ The time is 4 years

t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ [tex]A=800(1+\frac{0.09}{1})^{(1)(4)}[/tex]

∴ [tex]A=800(1.09)^{4}[/tex]

∴ A = 1129.265

The balance after four years is $1129.27

Two linear equations are shown.
What is the solution to the system of equations?
(7,4)
• (31)
• (s. *)
(9,7)
y=
1/3x + 2
4
5
6
x
y = 4/3x - 5

Answers

B. (7, 13/3) which is the same as (7, 4.333)

The solution to the system of equations is (7, 13/3).

We have Equations,

y= 1/3x + 2,

y= 4/3 x - 5

Solving above two equations we get

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

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

-3/3 x = -7

-x = -7

x = 7

and, y = 4/3(7) - 5 = 28/3-5 = 13/3

Thus, the solution of equation is (7, 13/3).

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How do you solve 21÷1/3

Answers

Answer:

63

Step-by-step explanation:

When dividing by a fraction, it is the same a multiplying that fraction but the reciprocal of it.

21 / 1/3 is same as 21 * 3/1

63

Answer:  63

What is 3 to the power of 2 plus 4 to the power of 2

Answers

Answer: 25

Step-by-step explanation:

3² + 4 ² = ?

(3x3) + (4x4) = ?

9 + 16 = 25

Answer:

  25

Step-by-step explanation:

3² +4² = 9 +16 = 25

_____

Your calculator can help you figure this.

_____

25 = 5², which means that the lengths 3, 4, and 5 could be the sides of a right triangle. They are the smallest integer solution to the equation ...

  a² +b² = c²

How do I find vertex

Answers

Answer:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

Step-by-step explanation:

Why do you think George Washington wanted the us to avoid entangling alliances

Answers

so that the allied countries wouldn’t have to be involved in wars just because we were and because allies would make it easier for a world war to happen

What is (-7a^4bc^3)(5ab^4c^2)

Answers

Answer:=-35a^5b^5c^5

Step-by-step explanation:

     

Answer:

-35a^5b^5c^7

Step-by-step explanation:

Step 1:  Distribute

(-7a^4bc^3)(5ab^4c^4)

(-7 * 5) * (a^4 * a) * (b * b^4) * (c^3 * c^4)

(-35) * (a^5) * (b^5) * (c^7)

-35a^5b^5c^7

Answer:  -35a^5b^5c^7

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