Pat is a 23 year old man. He earns a taxable income of $70,000.00, and the effective
tax rate on his income is 19%. He contributes 10% of his earnings into a Roth IRA
account with 3% return what is his estimated Roth IRA balance when he is 50 years
old?

Answer: [tex]\overline{IJ}\cong \overline{MN}[/tex]

Step-by-step explanation:

Given: In triangle HIJ and triangle MNO we have

[tex]\overline{HI}\cong \overline{NO}, \angle{I}\cong \angle{N} ,\angle{H}\cong \angle{O}[/tex]

here, HI and NN are the included side between  ∠I & ∠H and ∠N and ∠O.

So , by ASA congruence rule,

ΔHIJ ≅ ΔMNO

So by CPCTC  (corresponding parts of the congruent triangles are congruent)

[tex]\overline{IJ}\cong \overline{MN}[/tex]

Answer:

1) Irrational

2) Rational

3) Irrational

4) Rational

5) Rational

Step-by-step explanation:

A rational number is one that can be expressed as a ratio of 2 integers while an irrational number is one that can not be expressed like that. Another difference is that rational numbers can have finite or recurring decimals while irrational numbers have infinite and non - recurring decimals.

1) -20π is an irrational number because π contains infinite decimal digits

2) -26.23 is a rational number because it can be expressed as a ratio of 2 integers

3) -2√3 is an irrational number because √3 contains infinite decimal digits

4) -√1 is a rational number because √1 is a perfect square root and as such it can be expressed as a ratio of 2 integers.

5) 95.60 is a rational number because it can be expressed as a ratio of 2 integers

Answer:

26.25

Step-by-step explanation:

I'm not sure if I'm right but I did 37.5 - 15 and I got 22.5. 22.5 divided by 2 gives me 11.25, so I added 15 and 11.25 which gives me 26.25

Answer:

C. 70

Every triangle's interior angles add up to 180°, and a flat line is eqal to 180°.

180°-115°=65°

180°-135°=45°

65+45=110

180-110=70

Answer:

70

Step-by-step explanation:

trus me .have no if we day

Answer:

x = - 6 y = 13

Step-by-step explanation:

we know when the diagonals bisect it divides into two equal parts so

-4x - 2 = -3x + 4

-4x + 3x = 4 + 2

- x = 6

x = - 6

Now

2y + 8 = 3y - 5

3y - 2y = 8 + 5

y = 13

Hope it will help :)❤

Answer:

Step-by-step explanation:

I HOPE IT HELPS :)

Answer:

Because besides for the principal amount, it has a steady growth. In simple interest, it is a linear equation.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8/13 = 8 divided by 13

because it is  thedivided by the denominator

[tex]\left \{ {{y= numerator} \atop {x=denominator}} \right.[/tex]

Answer:↓↓

Step-by-step explanation:

2, 3, 13, 14, 16, 20, 20, 20, 30, 40

Mean: the average of a data set.

2 + 3 + 13 + 14 + 16 + 20 + 20 + 20 + 30 + 40 / 10 = 178/10 = 17.8

Median: the middle of the set of numbers.

16 + 20 / 2 = 36/2 = 18

Mode: the most common number in a data set.

20

Range: The difference of the smallest and highest number.

40 - 2 = 38

Answer:

The number of cups of seeds that Sarah put in each bird feeder each day is:

= 4/7 or 0.57 cups.

Step-by-step explanation:

a) Data and Calculations:

Number of cups of seeds = 12 cups

Number of bird feeders = 3

Therefore, each bird feeder will get 12/3 = 4 cups per week

In a week, there are 7 days.

This implies that each bird feeder will get 4/7 cups

This is equivalent to 0.57 cups for each bird feeder per day.

b) Sarah will be putting 4/7 cups of seeds in each bird feeder.  When 4/7 is multiplied by 3 *7, we get a total of 12 cups, which represent the total number of cups of seed given initially to Sarah.

Answer:

The number of cups of seeds that Sarah put in each bird feeder each day is: = 4/7 or 0.57 cups.

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

someone will be with you in a moment

Step-by-step explanation:

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]We\ are\ required\ to\ find\ out\ 150 \%\ of\ 6.\\Hence,\\We\ can\ also\ rewrite\ this\ statement\ as:\\150 \%\ *6\\=\frac{150}{100}*6\\=\frac{15}{10}*6\\=\frac{90}{10}=9[/tex]

Answer:

203 2/3

Step-by-step explanation:

Add all the wholes (55+55+46+46, that gets you 202), then, convert 2/3 to sixths (4/6). Then, add the fractions (4/6+4/6+1/6+1/6, that gets you 10/6, or 1 4/6). Now, our answer is 203 4/6, which can be simplified to 203 2/3.

Answer:

I'm not sure but I think it is letter A

Step-by-step explanation:

Because first off 0 is divisible by any integer number meaning it has to be divide by a whole number not fraction. Also, 0 + 2 = 2 then you divide that by 4 is 0.5.

Answer:

The answer is D because it wants the total distance covered on the three days, not how many he walked per day (which would be B)

Step-by-step explanation:

I hope this helped :)

Answer:

4

Step-by-step explanation:

yes.

Answer: It increased by 78.89%

Step-by-step explanation:

2.810 / 3.562

=0.7889

78.89%

The approximate percent of change is 26.76% increase.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The average price for gasoline per gallon is $3.562.

last year the average price for gasoline per gallon was $2.810.

∴ The net amount change is  $(3.562 - 2.810) = $0.752.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (0.752/2.810)×100%.

= 26.76% increase.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

C.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You would just have to find the opposite of cube root which is cubed so that means a is correct

Answer:

Step-by-step explanation:

5, 7 and 8 are midsegments of the given triangle.

As per property, midsegment is parallel to one of the sides and is equal to its half by measure.

Midsegment with the length of 8 is parallel to side with the length of x and is half of its size:

Answer:

Not sure

Step-by-step explanation:

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

Answer:

3x-5y=20

-3x=

5y=3x-20

/5=

y=(3x/5) - (20/5)

y=3/5-4

Answer:

([tex]\frac{1}{2}[/tex], [tex]\frac{-1}{2}[/tex])

Step-by-step explanation:

Use the midpoint formula to solve.

1) Given 2 points: ([tex]x_{1}[/tex], [tex]y_1[/tex]) and ([tex]x_2[/tex], [tex]y_2[/tex])

The midpoint formula would be ([tex]\frac{x_1+x_2}{2}[/tex], [tex]\frac{y_1+y_2}{2}[/tex]).

2) Based on this, we can easily find the midpoint of AB.

3) With this information, we can solve for the midpoint.  

([tex]\frac{-3+4}{2}[/tex], [tex]\frac{-5+4}{2}[/tex]) --> ([tex]\frac{1}{2}[/tex], [tex]\frac{-1}{2}[/tex]) --> This is your answer.

9514 1404 393

Answer:

  8/15

Step-by-step explanation:

In this context, "of" means "times." The product is ...

  [tex]\dfrac{4}{5}\times\dfrac{6}{9}=\dfrac{4\cdot6}{5\cdot9}=\dfrac{3\cdot8}{3\cdot15}=\boxed{\dfrac{8}{15}}[/tex]

Answer:

25 is 2.5 standard deviations from the mean.

Step-by-step explanation:

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean.

In this question:

Mean of 15 and a standard deviation of 4, so [tex]\mu = 15, \sigma = 4[/tex]

How many standard deviations from the mean is 25?

We have to find Z when [tex]X = 25[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 15}{4}[/tex]

[tex]Z = 2.5[/tex]

So 25 is 2.5 standard deviations from the mean.

Answer:

2.5

Step-by-step explanation:

i just took the test