A 68-year old retiree has a pension savings of $43,000, a 401k of $75,000, and an IRA account of $62,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 3% from the current total amount in his pension, 4% from the 401k, and 6% from the IRA. What is the highest amount that will be taken from a single account, including the penalty, if the retiree takes the money out now from each?

Answer:

x = 15°

Step-by-step explanation:

We know that a triangle totals up to 180° when you add together all the angles. Using that, we can then add up the two angles we already know and solve for x.

106° + 59° = 165°

180° - 165° = 15°

Answer:

-20

Step-by-step explanation:

y = -3x+1

if the input is 7, it means x=7 so substitute in the equation

y= -3*7+1 = -21+1= -20 which is the output

Answer:

ab+ac=a(b+c)

a is a common factor

find the greatest common factor

12x+18

12x=2*2*3*x

18=2*3*3

GCF=2*3=6

12x+18=

6(2x)+6(3)=

6(2x+3)

Step-by-step explanation:

Answer:

{x,y}={21,41}

Step-by-step explanation:

Step by Step Solution:

More Icon

System of Linear Equations entered :

  [1]    4x - 2y = 2

  [2]    3x - 2y = -19

Graphic Representation of the Equations :

   -2y + 4x = 2        -2y + 3x = -19  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    3x = 2y - 19

 [2]    x = 2y/3 - 19/3

// Plug this in for variable  x  in equation [1]

  [1]    4•(2y/3-19/3) - 2y = 2

  [1]    2y/3 = 82/3

  [1]    2y = 82

// Solve equation [1] for the variable  y

  [1]    2y = 82

  [1]    y = 41

// By now we know this much :

   x = 2y/3-19/3

   y = 41

// Use the  y  value to solve for  x

   x = (2/3)(41)-19/3 = 21

Solution :

{x,y} = {21,41}

Answer: {x,y}={21,41}

Answer: Lightwave forms the most important example of a transverse wave. In case of the light waves, particles travel perpendicular to the direction of the waves. It is the visible spectrum that is visible to the human eye and is responsible for the sense of sight.

Step-by-step explanation:

Answer:

♡ hi fairy ♡

An example of a transversal is  line that intersects a system of lines.

hope I could help you. have a great day!

-madeline/madi

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

9514 1404 393

Answer:

  d.  tan(16°) = x/6

Step-by-step explanation:

You can use logic to figure this out, even if you don't know much trigonometry.

Choices A and D are contradictory. One of them must be consistent with choice C. Choices C and D are also contradictory, so choices A and C must be in agreement and part of the set of statements that CAN be used.

Choice D is the statement that CANNOT be used to find x.

Answer:

[tex]\approx[/tex] -2.195

Step-by-step explanation:

Given the function:

[tex]d(t)= 12 (.72) ^ t[/tex]

[tex]d[/tex] is the depth of water in feet and

[tex]t[/tex] is the amount of time

To find:

The average rate of change for [tex]t[/tex] in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]

Answer:

26

Step-by-step explanation:

Given that:

Target amount for NYC trip = $1000

Cost of T - shirt = $9 each

Logo printing fee = $30

Number of T - shirts = x

Number of T - shirts to be sold in other to reach their goal :

[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount

[($30 + $9) * x] ≥ $1000

$39x ≥ 1000

x ≥ 1000/ 39

x ≥ 25.64

Hence, they have to sell at least 26 t shirts with logo printed to raise $1000

I think c

Step-by-step explanation:

I did it a min ago

Answer:

ur answer would be C. Angles A and H are congruent.

Step-by-step explanation:

right on edge 2021 for math

Answer:

-4

Step-by-step explanation:

1-2=-1+3=2-4=-2+5=3-6=-3+101=98-102=-4

I hope I am right

Answer:

1

Step-by-step explanation:

Answer:

yes, and at 600 hours they are equal and at 601 Frank passes her.

Step-by-step explanation:

since frank  has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a  positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.

Answer:

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.

Answer:

A

Step-by-step explanation:

Opposite sides are equal

Answer:

(0,6) (0,-12)

Step-by-step explanation:

The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.

The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).

To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.

Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.

Learn more about graph here

https://brainly.com/question/17114804

#SPJ6

Answer:

y= 2/3x+6

Step-by-step explanation:

if we multiply we can get the answer

Answer:

The order of the numbers from least to greatest is -3, -0.5, 1.2, 3.

Answer:

-3, -0.5, 1.2, 3

Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

[tex]\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12[/tex]

Therefore, the final value of x is "12".

Find more information about the x value here:

brainly.com/question/19793439

Answer:

-12164.91462:)

Step-by-step explanation:

Solution of the three expressions;

1). -12.48-(-2.99)-5.62 = -15.11

2). -353.92-(-283.56)-131.29 = -201.65

3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

1). -12.48-(-2.99)-5.62

= -12.48 + 2.99 - 5.62 (double negative becomes positive)

= -15.11

Therefore, -12.48-(-2.99)-5.62 equals -15.11.

2). -353.92-(-283.56)-131.29

= -353.92 + 283.56 - 131.29 (double negative becomes positive)

= -70.36 - 131.29

= -201.65

Therefore, -353.92-(-283.56)-131.29 equals -201.65.

3). 831 / 106 (92)

This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:

= 831 / (106 x 92)

= 831 / 9736

= 0.0852 (rounded to four decimal places)

Therefore, 831 / 106 (92) equals 0.0852.

To learn more about the PEMDAS;

https://brainly.com/question/36185

#SPJ7

The complete question:

Find the solution to the expressions given below;

1). -12.48-(-2.99)-5.62

2). -353.92-(-283.56)-131.29

3). 831 / 106 (92)

Answer:

34 edges

Step-by-step explanation:

Euler's formula for polyhedron states

F + V - E = 2

where F is number of faces, V, number of vertices, E number of edges

Here F = 16, V = 20, thus

16 + 20 - E = 2, that is

36 - E = 2 ( subtract 36 from both sides )

- E = - 34 ( multiply both sides by - 1 )

E = 34

Answer:

Option B

Step-by-step explanation:

Well, now that I found out the prices per ounce, it has to be option B. Here is my reasoning:

Option A, when you do 2.98÷15.5, you get 0.19225...

Option B, is a different story. When you do the same process, it amazingly comes out to 0.1785...(this means that Option B is 0.2 cents (rounded) cheaper per unit, then Option A.

So its option B

Your welcome.

Answer:

for the 10 column it is $150.00 the next column is 15 and for 200 it is $250.00

Step-by-step explanation:

Answer:

ok gimmie a min i will put answr

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{4}{6} =\frac{x}{36}[/tex]

[tex]\frac{4}{6} *\frac{6}{6} =\frac{24}{36}[/tex]

[tex]x = 24[/tex]

Hope this helps and pls do mark me brainliest if you can:)

Answer:

24

Step-by-step explanation:

6*6=36, so she has 6 times as much time to plant with 36 minutes.

4*6=24, so she can plant 24 flowers in 36 minutes.

Answer:

3.61 miles

Step-by-step explanation:

Given that:

Length of track = 5/6 of a mile

Number times Mary was able to run around the track = 4 1/3 times

Total miles ran by Mary :

(Equivalent mile of the track * number of times Mary ran around the track)

5/6 of a mile * 4 1/3 times

5/6 * 13/3

= 65 / 18

= 3.611111 miles

Hence, total Number of miles ran by Mary is 3.61 miles

Step-by-step explanation:

18.....................