You are thinking of withdrawing all your funds; $45,000 from your 401 (k) at age 54. The normal tax rate for you would be 28%. The rules for withdrawing funds before the age of 59 1/2 is a 10% penalty. How much would you save if you waited until age 59 1/2?

Answers

Answer 1

Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]

Used the concept of tax which states that,

A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.

Given values:

Amount of funds: [tex]\$45,000[/tex]

Normal tax rate: [tex]20\%[/tex]

Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]

Step-1; Computation of after-tax amount paid at 54 years:

[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]

[tex]= \$45,000 \times (1 - 0.2)[/tex]

[tex]= \$36,000[/tex]

Step-2; Computation of after-tax amount paid at 59.5 years:

[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]

[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]

[tex]= \$32,400[/tex]

Step-3; Computation of the amount saved;

[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]

Therefore, the amount  [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.

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Related Questions

help pls ?? it’s confusing

Answers

Answer:

2x+24+4x+36=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

So <KPL=64 AND <JPL=116

Answer:

KPL = 64 JPL = 116

Step-by-step explanation:

This is a straight angle, meaning this angle will equal 180 degrees.

They give you two parts of this angle, which is (2x+24) and (4x+36)

All you have to do is add them and set this equal to 180.

So when you add 2x+24+4x+36=180 that equals 6x+60=180

Do the algebra, subtract 60 on both sides.

180-60=120

Now divide 6 on both sides.

120/6 = 20

Great, so now solved x. To find the angles, we must plug them in.

2(20)+24= 64

4(20)+36= 116

So your answer should be

KPL = 64 and JPL = 116.

This is correct because when you add these results together, you get 180.

-3(x+n)=x
Rewrite each equation to solve for x

Answers

Answer:

isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.

7+root 3 divided by 7-root 3

Answers

7 + root3 = 8.73
7 - root3 = 5.26
Thus
8.73/5.26 = 1.659

Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...

Answers

Answer: C) 127, 152.4, 182.88, 219.456,...

Step-by-step explanation:

You can only find the sum of an infinite geometric sequence if it converges.

One criterion to see if the series converges is if:

aₙ < aₙ₋₁

This means that, as n increases, the value of the terms decreases.

This means that as n tends to infinity, aₙ tends to zero.

Then we only can find the sum of those series where the terms are decreasing.

in A, B and D the terms are decreasing, then we can find the sum of those 3 series.

Now in the case of C, the terms are increasing, then we can not find the sum of that series.

Which graph shows a set of ordered pairs that represent a function ?

Answers

Answer:

C

Step-by-step explanation:

if you draw a line between the points then draw vertical lines they dont cross more than one dot

State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *

Answers

Answer:

range { -4,-3,-2,0}

Step-by-step explanation:

The range is the output values

range { -4,-3,-2,0}

Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?

Answers

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

Answer:

5 weeks

Step-by-step explanation:

i took 80 - 35 to get 45 (money she still needs)

then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)

and if you get 10 dollars per week and its asking how many weeks

you have to up the 4 by one because it has a .5

so it would be 5 weeks

what is 328 divided by 23 with the remainder

Answers

Answer:

7.1

Step-by-step explanation:

328 23 = 14.2608695652

14.2608695652 = 142.608695652 to the nearest tenth

14.2608695652 = 14.26 to the nearest hundredth

14.2608695652 = 14.261 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

328 divide by half plus 20

Homework answers: (328/2) + 20 = 184

328 divide by half plus 40

Homework answers: (328/2) + 40 = 204

328/23 divided by 2

Answer: (328/23) ÷ 2 = 7.13043478261

14.27 if rounded up if not den 14.26086956521739

Last question!

Find the equation of the line

Y=__x +__

Answers

The answer is y=-2/6x + 5

Gayle is saving money to buy a
camera that costs $315. She has
$40 saved, and each week she adds
$25 to her savings. How many
weeks will it take Gayle to save
enough money to buy the camera?

Answers

It will take Gayle 11 weeks

The length of a rectangle is twice that of the width. The perimeter of the rectangle
is 24 cm. What is the width of the rectangle?

Answers

9514 1404 393

Answer:

  4 cm

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 12 cm.

The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...

  (1/3)(12 cm) = 4 cm

The width of the rectangle is 4 cm.

WILL MARK BRAINLEST FOR CORRECT ANSWER

STANDARD FORM

4x + 6y = 12

Find the X and Y intercepts
(0, ) ( ,0)

Answers

Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

what is binomil (2a–1)(a–3)

Answers

Answer:

[tex]2a^2-5a+3[/tex]

Step-by-step explanation:

2a(a-3)-1(a-3)=

2a^2-6a-a+3=

2a^2-5a+3

Answer:

Step-by-step explanation:

please help me solve this!!
5x = 3y + 18
3x + 5y = 4

Answers

Answer:

Slope=

2.000

1.200

=0.600

x−intercept=

3

4

=1.33333

y−intercept=

−5

4

=−0.80000

thats the first one

Step-by-step explanation:

this is a system of equations.

eliminating method:

1) move the 3y to the other side so it looks like the second equation.

5x - 3y = 18
3x + 5y = 4

2) multiply both of the equations by a number to make the equations eliminate one of the variables.

5(5x - 3y = 18) —> 25x - 15y = 90

3(3x + 5y = 4) —> 9x + 15y = 12

3) subtract the two equations (the y’s crossed out) and solve for x:

16x = 78
16x/16 = 78/16
x = 4.875 ≈ 4.9 ≈ 5

4) plug x into one of the two equations (preferably the easier one) to solve for y:

5(4.875) - 3y = 4
24.375 - 3y = 4
-3y = -20.375
-3y/3 = -20.375/-3
y = 6.791667 ≈ 6.8 ≈ 7

answers: x = 4.9 / y = 6.8

Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?​

Answers

Answer:

continuous graph

Step-by-step explanation:

A plece of wood has a volume of 30 cm. It has a length of 2 cm and a width of 3 cm. What is the height of the wood?
5 cm
60 cm
15 cm
6 cm

Answers

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

volume = length × width × height

30 = 2 × 3 × h

30 = 6h

5=h

It is 5 cm high

Hope it helps you

Regards,

Rachana

Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) =

ƒ -1(4) =

Answers

Answer:

f-1(x)=x-4

f-1(4)=0

Step-by-step explanation:

to get an inverse function, replace x with y, and y with x.

y=x+4  ---> x=y+4

solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4

f-1(4)=(4)-4=0

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Answer:

y=4, y =16, x=10, x=15

Step-by-step explanation:

Plug the x values in the x place and then solve from there and for y values plug em in and easy answer

Help me someone please I’m lost and confused??

Answers

Answer: go to Cymath

Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers

A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.

SCREENSHOT OF GRAPH! HELP

Answers

Answer:

0.5 cm

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5.5) = (x_1, y_1) [/tex]

[tex] (8, 8) = (x_2, y_2) [/tex]

[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]

[tex] m = \frac{2.5}{5} [/tex]

[tex] m = 0.5 [/tex]

0.5 cm is gained per cup added.

The rise in height per cup will be 0.5 cm.

Given information:

The given graph displays the height of the stack in centimeters for different numbers of cups.

The given points on the graph are (3,5.5) and (8,8).

Now, the slope of the line joining these two-point will give the rise per cup.

So, the slope will be calculated as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]

So, the slope is 0.5 centimeters per cup.

Therefore, the rise in height per cup will be 0.5 cm.

For more details, refer to the link:

https://brainly.com/question/18896190

PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6

Answers

Answer:

D. 6

Step-by-step explanation:

Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6

I hope this helps!

If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13

Answers

The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

What is a function?

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

More about the function link is given below.

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Please help!! Will Mark brainliest!!

Answers

the answer for this question would most likely be 71

Slope :3 y-intercept :1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = mx + b

The slope, or m, is 3.

The y-intercept, or y, is 1.

Plug them into the equation.

y = mx + b

y = 3x + 1

I believe the answer is Y=3x+1

PLS HELP ASAP FOR BRAINLIEST

Answers

Answer:

y=3

Step-by-step explanation:

it is because X=-2 had crossed the point y=3

hope this help you!!!! ;))))))

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

The x intercept is 1 and the y intercept is -2. Hope this helps. The X axis is the horizontal line whilst the y axis is the vertical line.

The required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

What is an intercept of a line?

The intercept of the line is defined as points where the line intersects the principle axes.

Here,
The x-intercept and y-intercept of the line are defined as the points where the given line cuts the coordinate axes.
So, from the above definition, the line intersects the x-axis at +1 and intersects the y-axis at -2.

Thus, the required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

Learn more about intercept here:
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What is 1 11/16 simplified

Answers

Answer:

Its already simplified but if you mean a mixed number then its 27/16

Step-by-step explanation:

Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)

Answers

Answer:

10

Step-by-step explanation:

Given coordinates:

       (-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

     (-1,0) and (5, -8)

The equation for solving this problem is shown below;

      Distance  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]

x₁  = -1      y₁ = 0

x₂  = 5      y₂  = -8

      Distance  = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex]   = 10

The distance between the two points is 10.

Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?

Answers

Answer:

Cindy get (12-c) amount while others get 12 cookies

Step-by-step explanation:

From the question we are informed that Grandma baked 96 cookies

And there are 8 Number of grandchildren available

But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,

= 96 cookies baked/8 Number of grandchildren available

= 12 cookies

Which means each get 12 cookies

But

Cindy received less cookies with less C amount.

Then Cindy own will be( 12-c) cookies

Therefore Cindy get (12-c) amount while others get 12 cookies

Answer:

12-c

Step-by-step explanation:

Khan academy unit test, 7th grade math.

dividing a faction by a fraction 3/5 divided 1/3​

Answers

(3/5) / (1/3) = 3*3/5*1 = 9/5 or 1 4/5

Answer:

9/5

Step-by-step explanation:

3/5 ÷ 1/3

3/5 ÷ 3/13/5 × 3/1 = 9/5

9/5

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