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In-s [12.5K]
2 years ago
8

Carolyn has been contributing to a pre-tax retirement account. Her youngest child is ready to start college, and Carolyn wants t

o withdraw $61,671.71 from the account for tuition. Carolyn's tax bracket this year is 25%, and she knows she will have to pay a 10% early withdrawal penalty. How much money will she pay in taxes and penalty ?
Mathematics
1 answer:
Flauer [41]2 years ago
6 0

Answer: 77,089.64 or 83,256.81

Step-by-step explanation:

Either or because it doesnt specify is she has to pay 10% and 25% or 10% early and 15% later on. If you know then the lower answer is 10% now and 15% later on. GL!

You might be interested in
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highwa
Readme [11.4K]

Answer:

the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Step-by-step explanation:

The computation of the standard deviation of the speeds of cars is shown below;

The z score for the top 1% is 2.326

So,

= (75 - 61) ÷ standard deviation = 2.326

Standard deviation is

= 14 ÷ 2.326

= 6.0 miles per hour

Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

4 0
3 years ago
What is (f ° g)(2) and (g ° f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,
kumpel [21]

Answer:

\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}

Step-by-step explanation:

f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/

7 0
3 years ago
Name the pair of opposite rays with endpoint N.
Elza [17]

Answer:

<h2>Possible Answers: NA and NX or NM and NC.</h2>

Step-by-step explanation:

PLS MARK ME BRAINLEIEST AND FLW ME

3 0
3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
3 years ago
PLEASE HELP I WILL MARK YOU BRAINLIEST PLEASE AND SHOW YOUR WORK (1) Jaime has 103 toys. He can fit a maximum of 9 toys into eac
Artist 52 [7]

Answer:

(1) 12 boxes (2) 1173  points

Step-by-step explanation:

(1) Jamie needs to fit all if his toys in the boxes, so you would need to do 103 times 9, making it 11.4. So, you'd need twelve boxes to fit all of he toys into boxes.

(2) The contestant earned 69 points, and each of those points are worth 17 points, meaning you have to do 17 times 69, which is 1173 .

3 0
3 years ago
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