Answer:
x=5
Step-by-step explanation:
2^x= 32
2^x=2^5
(comparing, common denominator)
therefore x=5.
Match the appropriate list with the definition
a. reflexive, symmetric, and transitive only
b. congruence and midpoint.
A segment proof is a type of proof that shows the steps used to establish the congruence or equality of two line segments. The goal of a segment proof is to provide a clear and logical argument that demonstrates why the two segments are equal or congruent.
Segment proofs typically involve using a combination of definitions, postulates, and theorems to justify each step of the argument. For example, to prove that two line segments are congruent, one might use the segment addition postulate, the definition of congruence, and the reflexive, symmetric, and transitive properties of congruence.
The appropriate matching is:
1. Segment proofs include the following definitions as justifications/reasons: ⇔ reflexive, symmetric, and transitive only
2. Segment proofs include the following as congruence of segments: ⇔ congruence and midpoint.
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Assume you have a balance of $1200 on a credit card with an APR of 18%, or 1.5% per month. You start making monthly payments of $200, but at the same time you charge an additional $80 per month to the credit card. Assume that interest for a given month is based on the balance for the previous month. The following table shows how you can calculate our monthly balance. Complete and extend the table to show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit card debt? Fill out the table row by row, and continue until the last full payment. (Round to the nearest cent as needed.) Month Payment Expenses Interest 0 1 $200 $80 0 015 × $1200 = $18.00 2 $200 $80 New Balance $1200 $1200 - $200 ÷ $80 ÷ $18.00 = $1098.00 (0,1) More
y=-0.8x^2 - 4x please help
The characteristics of the above quadratic unction y=-0.8x^2 - 4x are given as follows.
What are the characteristics of the above function?The vertex is (5, -22).
The axis of symmetry is x = 5.
The function is increasing when x < 5 and decreasing when x > 5.
The x-intercepts are (-5, 0) and (0, 0).
The domain is all real numbers and positive when x < 0.
The range is (-∞, -22].
The function is negative when x > -5.
The y-intercept is (0,0).
The function is negative when x is less than -5/2 and positive when x is greater than -5/2.
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HURRY DUE TONIGHT
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 21%
B. 3%
Brand B contains 3% saline solution by volume.
The correct option is B.
We have,
Brand A was a six gallon 18% saline solution.
Final, she 18 gallon 8% saline solution mixture.
let the percentage of saline solution in brand B be x.
So, volume of saline solution
= 18% of 6 gallons + x% of (18 - 6) gallons
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Thus, the percentage of saline solution in brand B is 3%.
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Vivian Thomas is going to put insecticide on her lawn to control grubworms.
The lawn is a rectangle measuring 123.8 feet by 80 feet. The amount of insecticide required is 0.02 ounces per square foot. Find how much insecticide Vivian needs to purchase.
The amount of insecticide that Vivian needs to purchase
for the control of pest in the lawn would be = 198.08 ounces
How to calculate the area of the rectangular lawn?To calculate the area of the rectangular lawn, the formula for the area of rectangle should be used. That is ;
Area = Length× width
Length = 123.8 feet
width = 80feet
Area = 123.8× 80 = 9,904ft²
But 0.02 ounces of insecticide = 1 ft²
X ounces = 9,904ft²
Make X the subject of formula;
X = 9904×0.02
= 198.08 ounces.
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please help studying my next grade:
12+6÷(82-33)x66
Answer:
3246
Step-by-step explanation:
To calculate this equation, we need to follow the order of operations, also known as PEMDAS. First, we evaluate anything inside parentheses, which in this case is (82-33), giving us 49. Next, we perform division, so we have 6 ÷ 49. Then, we multiply 49 and 66, resulting in 3234. Finally, we add 12 to 3234, leading to the final answer of 3246. Therefore, the value of the expression 12+6÷(82-33)x66 is 3246.
Answer:
3246
Step-by-step explanation:
2+7•(-3)^2
Help me
How do I solve. ?
Answer:
To solve the expression 2 + 7 • (-3)^2, we follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, we evaluate the exponent: (-3)^2 = 9 (because squaring a number means multiplying it by itself).
Next, we perform multiplication: 7 • 9 = 63.
Finally, we perform addition: 2 + 63 = 65.
So, the value of the expression 2 + 7 • (-3)^2 is 65.
if a sample of 32 runners is taken from a population of 201 what is the mean
If a sample of 32 runners is taken from a population of 201, the mean is equal to 201.
What is a population?In Statistics and science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.
What is a sample?In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.
In this context, we can reasonably infer and logically deduce that the mean (μ) could be equal to 201 runners because it represent the average.
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Draw and label a rectangular prism that has a surface area of 96 square meters
There are 2 sides.
First side is 12 by 2 so you would multiply them together which is 24 and since there is another side the same length multiply by 2 which is 48.
Second side small side is 2 by 4 so multiply them together which is 8 and since there is another side the same demension multiply 8 by 2 which is 16.
The last side is 12 by 4 so again multiply them together which is 48. Multiply it by two since there is another side with same dimension which is 96.
Now do 48 + 16 + 96 (the answer gotten after finding the areas for each sides and their identicals) which is 160 ft²
The label for rectangular prism that has a surface area of 96 square meters is in the attached image.
According to government data, 20% of employed women have never been married. Assume an SRS of seven employed women are selected and asked if they have ever been married.
a. What is the random variable X of interest here? Define X.
b. Out of the 7 employed women selected at random, what is the probability that exactly 2 have never been married? (Show your work below) _________
c. Out of the 7 employed women selected at random, what is the probability that 2 or fewer have never been married? ___________
d. What are the mean and standard deviation of X?
Mean:_________ Standard Deviation _________
a. The total quantity of employed women among the sample of 7 who are not married yet is the random variable X of interest in this situation. b) Probability = 0.2749.
What is binomial distribution?The number of successes in a defined number of independent trials with two possible outcomes (success or failure) and a constant probability of success are described by a discrete probability distribution called a binomial distribution. The number of trials (n) and the likelihood that a trial will succeed (p) serve as the two parameters that define the binomial distribution.
a. The total quantity of employed women among the sample of 7 who are not married yet is the random variable X of interest in this situation.
b) The probability of 2 women who have never been married is:
P(X = 2) = (7 choose 2) * (0.2)² * (0.8)⁵
P(X = 2) = 21 * 0.04 * 0.32768
P(X = 2) = 0.2749
c) For 2 or fewer have never been married:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
P(X ≤ 2) = (7 choose 0) * (0.2)⁰ * (0.8)⁷ + (7 choose 1) * (0.2)¹ * (0.8)⁶ + (7 choose 2) * (0.2)² * (0.8)⁵
P(X ≤ 2) = 0.0577 + 0.2013 + 0.2749
P(X ≤ 2) = 0.5339
d) The mean is given as:
μ = np
Substitute n = 7 and p = 0.2:
7 * 0.2 = 1.4
Now, the standard deviation is given as:
σ = √(np(1-p)) = √(7 * 0.2 * 0.8) = 1.0198
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Question 02/08 The probability that the bus will arrive on time is 0.6 and the probability that it will be late is 0.3. What is the probability that it will arrive early?
The probability that the bus will arrive early is 0.1, or 10%.
To find the probability that it will arrive early
It is possible to calculate the likelihood that the bus will arrive early using the rule that the sum of all possible outcomes must equal 1.
P(on time) + P(late) + P(early) = 1 if P(E) is the likelihood that the bus will arrive early.
Using the probabilities as a replacement, we get:
0.6 + 0.3 + P(E) = 1.
For P(E), use the formula:
P(E) = 1 - 0.6 - 0.3 = 0.1.
Therefore, the probability that the bus will arrive early is 0.1.
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Find the area
Round to nearest tenth
The total surface area to paint is 22000 sq. ft.
What is surface area?Surface area is the measurement of the outer surface of an object. It is often used to calculate the area of a three-dimensional object, such as a cube, cylinder, or sphere, and is also used to calculate the area of the faces of a solid object. Surface area is measured in square units such as square centimeters (cm2), square meters (m2), or square inches (in2).
Surface Area = 2(lw + lh + wh)
Surface Area = 2((100' x 50') + (100' x 40') + (50' x 40'))
Surface Area = 2(5000' + 4000' + 2000')
Surface Area = 2(11000')
Surface Area = 22000 sq. ft.
Answer: The total surface area to paint is 22000 sq. ft.
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The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?
Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.
Step-by-step explanation:
To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.
Answer:
the afternoon is the right one
If October 15 falls on a Wednesday, then November 11 of that same year falls on which day of the week? (October has 31 days)
Answer:
There are 31 days in October, so there are 31 - 15 = 16 days left in October after October 15.
16 days is equivalent to 2 weeks and 2 days (since there are 7 days in a week), so November 11 is 2 weeks and 2 days after October 15.
Therefore, November 11 falls on a Wednesday + 2 weeks + 2 days = Friday.
So November 11 of that same year falls on a Friday.
Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six
Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.
What is an expression?Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.
Here,
The mathematical expression is expressed as follows:
=> 42 / 7 + (3 / 6)
We can use the division operations to make the expression simpler:
=> 7 /42 = 6
=> 6 / 3 = 0.5.
The statement is thus more easily expressed as follows
=> 6 + 0.5
When we add the two numbers, we get:
=> 6.5
Therefore, 6.5 is the abbreviated numerical expression.
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Find the surface area
Round to the nearest tenth
There are [tex]144 + 336 = 480[/tex] square units of surface area overall. The shape has a surface area of 480.0 square units, rounded to the closest tenth.
what is surface area ?The dimensions and shape of the object are taken into account while calculating surface area. The volume of water of a cube, for instance, can be computed by adding the areas of the all six of its equal-sized faces. The surface temperature of something like a sphere, while on the other hand, must be calculated using mathematical methods that take into consideration its radius. The concept of surface area is crucial to many branches of mathematics, science, & engineering.
given
The area of each of the two triangles is [tex](1/2) * 3 * 8 = 12[/tex] square units since each triangle has a base of 3 and a height of 8, respectively.
The trapezium features an 8-inch height, a 6-inch top base, a 12-inch bottom base, and a 10-inch slant height.
two rectangles, each measuring 72 square units: 144 square units (2 x 72)
Four trapezoidal sides, each with a surface area of 12 + 72 = 84 square units 336 square units (4 x 84)
There are [tex]144 + 336 = 480[/tex] square units of surface area overall. The shape has a surface area of 480.0 square units, rounded to the closest tenth.
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What is the value of the expression −38 − 16 − (−23)?
Answer:
-31
Step-by-step explanation:
lo Rebecca found the length and width of the garage door. She used the measurements to find the perimeter of the garage door. Which of the following could be the perimeter of Rebecca's garage door? F 48 square feet G 48 square inches H 48 feet J 48 cubic feet
The possible values for the perimeter of Rebecca’s garage door are 48 feet or 48 inches
What is meant by perimeter?
Perimeter is the total length of the boundary of a two-dimensional shape. It is the sum of the lengths of all sides of the shape. The perimeter is commonly used to measure the distance around an object or figure and is often used in geometry to calculate the area of a shape.
According to the given information
The perimeter of a rectangle is calculated by adding the four sides of the rectangle. The formula for the perimeter of a rectangle is given as P = 2 (Length + Width) 12.
Therefore, the possible values for the perimeter of Rebecca’s garage door are 48 feet or 48 inches
Complete question is
Rebecca found the length and width of the 6. garage door. She used the measurements to find the perimeter of the garage door. Which of the following could be the perimeter of Rebecca's garage door? F 48 square feet /G 48 square inches/ H 48 feet/ J 48 cubic feet
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Many fences in a rectangular area for his dog to play in the backyard. The area measures 35 yards by 45 yards .What is the length of fence that Manny uses a) 1,575 yards b) 160 yards c) 80 yards d) 35 yards
On solving the provided question we can say that Manny would thus require 160 yards of fencing to surround the rectangular plot.
What is perimeter?A boundary is a closed route that embraces, encircles, or delimits a two-dimensional form or length in one dimension. The perimeter of a circle or an ellipse is its outermost section. The perimeter calculation is used in a variety of real-world situations. The perimeter of a form is the radius of its edge. Discover how to calculate the perimeter by adding the lengths of the sides of various shapes. The perimeter of a shape may always be calculated by multiplying the lengths of its sides. The perimeter of a thing is the region that surrounds it. At your house, one example is an enclosed garden. The distance around anything is referred to as its perimeter. A 200-foot fence will be required for a 50-foot-by-50-foot yard.
P = 2(l + w), where l is the length and w is the width, gives the perimeter of a rectangle.
The length in this example is 35 yards, while the breadth is 45 yards. So,
[tex]P = 2(35 + 45)\\= 2(80)\\= 160 yards\\[/tex]
Manny would thus require 160 yards of fencing to surround the rectangular plot.
As a result, option (b) 160 yards is the right answer.
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What is tan(A)?
Remember to rationalize the denominator.
(Please Help)
Answer:
[tex]\frac{2 \sqrt{5}}{5}[/tex]
Step-by-step explanation:
As given by SOH-CAH-TOA
tan is equal to opposite/adjacent.
therefore for A, the opposite would be equal to 2, and adjacent would be equal to [tex]\sqrt{5}[/tex] as the hypotenuse is never referred to as an adjacent side. so the answer would be tan(A) = [tex]\frac{2}{\sqrt{5}}[/tex] however, to rationalize the denominator you must multiply the fraction by [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex] .
[tex]\frac{2}{\sqrt{5}} *\frac{\sqrt{5}}{\sqrt{5}} = \frac{2 * \sqrt{5}}{\sqrt{5} *\sqrt{5}}[/tex]
then simplify
[tex]\frac{2 \sqrt{5}}{5}[/tex]
50 Points! Multiple choice algebra question. Determine which pair of functions are inverse functions. Photo attached. Thank you!
The pair of the functions that are inverse is
A. f(x) = x - 4; g(x) = (x + 4)How to find the inverse of the functionThe inverse of the function is solved by the operations as follows
f(x) = x - 4 let y = f(x)
y = x - 4
solving for x
x = y + 4
interchanging the variables
y = x + 4 (this is the inverse)
the inverse x + 4 is equal to g(x) hence they are inverse functions
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If something is going 70 km/sec per mpc and its recessional velocity is 49000 km/sec then what is its distance
Step-by-step explanation:
always and you come across a question that needs you to find the time or the distance or the speed the first thing that you need to think of is a triangle based formula so this is what you do you're right DStv in a triangle but you won't include the V therefore it will be DST and you just look at mainly at the formulas and try to identify the one that you're looking for and the way forward for example distance I have already drawn my small triangle and it's revealing that distance is equal to speed times time and speed is equal to a distance divided by time and time is equal to distance divided by speed in this case we're looking for the distance therefore I supposed to say speed time so was supposed to say 70 * 49,000 to get your answer
Find the margin of error for a survey that has a sample size of 6400.
The margin of error for a survey with a sample size of 6400 and a 95% confidence level is approximately 1.6%.
What is confidence level?Confidence level is a statistical concept that measures the degree of certainty or reliability associated with an estimate, such as the mean, proportion, or regression coefficient, derived from a sample of data.
According to question:The margin of error (ME) for a survey depends on several factors, including the size of the sample, the level of confidence desired, and the population size (if applicable). Assuming a 95% confidence level, a sample size of 6400, and no information about the population size, the formula for calculating the margin of error is:
ME = 1.96 × √[(p × q) / n]
where:
1.96 is the z-score associated with a 95% confidence level
p is the estimated proportion of the population that has the characteristic of interest (this is usually unknown and is typically replaced with 0.5 to get the maximum possible margin of error)
q is 1 - p
n is the sample size
Assuming a conservative estimate of p = 0.5, we have:
ME = 1.96 × √[(0.5 × 0.5) / 6400]
≈ 0.016 or 1.6%
Therefore, the margin of error for a survey with a sample size of 6400 and a 95% confidence level is approximately 1.6%. This means that if the survey were conducted multiple times using the same sample size and methodology, the results would likely differ by no more than 1.6% in either direction (plus or minus) from the true population value.
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Please help answer this with good explication and I'll give Thanks , five stars and maybe even brainly.
Andy has X pence. Kelly ha s 7 pence more than Andy . Georgia had a pence less than Andy. Total amount of money they have is 1.48
A) form an equation in terms of x and solve th equation
Let's call the amount of money Andy has "x".
According to the problem, Kelly has 7 pence more than Andy, so Kelly has x + 7 pence.
Georgia has a penny less than Andy, so Georgia has x - 1 pence.
The total amount of money they have is 1.48, which we can write as 148 pence.
So we can set up the equation:
x + (x + 7) + (x - 1) = 148
Simplifying and solving for x:
3x + 6 = 148
3x = 142
x = 47.33
Since we're dealing with pence, we'll round down to the nearest whole number:
x = 47
So Andy has 47 pence, Kelly has 54 pence (47 + 7), and Georgia has 46 pence (47 - 1).
CAN SOMEONE ANSWER THIS RIGHT PLEASE!!!!!!
For the graph, what is a reasonable constraint so that the function is at least 600?
graph of y equals minus 2 times the square of x plus 40 times x plus 600
0 ≤ x ≤ 20
−10 ≤ x ≤ 30
x ≥ 0
All real numbers
They say 1 and 2 wrong I don’t know what to believe
Please answer right I need it so much
The reasonable constraint so the function is at least 600 would be A. 0 ≤ x ≤ 20.
How to find the reasonable constraint ?Given the function y = -2x² + 40x + 600, we want to find the constraint for x so that the function's value is at least 600.
Since the parabola opens downward (as a is negative), the function will be at least 600 for all values of x within the interval where the parabola is above y = 600. The vertex of the parabola is at its maximum value, so we should look for the interval around the vertex (10, 800).
Looking at the given constraints, the option "0 ≤ x ≤ 20" is a reasonable constraint that ensures the function is at least 600. The parabola starts at a value of 600 at x = 0, reaches its maximum value at the vertex, and then returns to a value of 600 at x = 20.
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18
If the mean for a data set was 8 and the standard deviation was 1.5, where would most of the data points be located?
A) Above 9.5
B) Between 6.5 and 9.5
Above 12
D) None of these answer choices are correct.
the correct answer is B, between 6.5 and 9.5.The solution of given standard deviations Problem isit is unlikely that most of the data points would be located there.
what is standard deviations?Standard deviation is a statistical measure of the amount of variation or dispersion in a set of data values. It represents the average distance of each data point from the mean of the data set.
According to given informationThe answer to this question can be found using the empirical rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.
Given that the mean is 8 and the standard deviation is 1.5, one standard deviation above the mean would be 8 + 1.5 = 9.5, and one standard deviation below the mean would be 8 - 1.5 = 6.5. Therefore, approximately 68% of the data would be expected to fall between 6.5 and 9.5.
Based on this information, we can eliminate answer choices A and D. Answer choice C is more than two standard deviations above the mean, so it is unlikely that most of the data points would be located there. Therefore, the correct answer is B, between 6.5 and 9.5.
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How do you write 843,400 in scientific notation
Answer:
Scientific notation = 8.434 × 10^5
Scientific e notation = 8.434e5
Engineering notation = 843.4 × 10^3 ---> (thousand; prefix kilo- (k) )
Standard form = 8.434 × 10^5
1. Which expression is equal to 4^0x4²?
A. 0
B. 1
C. 16
D. 64
• Concept: Exponents
• Solution:
You want to simplify the expression 4⁰×4².
We will use basic exponent properties for this.
First bear in mind that anything to the power of 0 is 1.
So that means that 4⁰ = 1.
We're not done yet because we still need to simplify the other part:
4².
Don't forget that:
4² ≠ 4×2Because
4² = 4×4 which is 16
So we have 1 times 16 or just 16.
Answer: choice "c": 16
please help me i don’t understand
Answer: the answer is
Step-by-step explanation:
eggs
An individual depositing in a non-IRA account has to pay income taxes on the funds deposited and on interest earned in each year but does not have to pay taxes on withdrawals from the account.
Sarah, who is five years from retirement, receives a $10,000 bonus at work. She is trying to decide whether to save this extra income in an IRA account or in a regular savings account. Both accounts earn 8 percent nominal interest, and Sarah is in the 30 percent tax bracket in every year (including her retirement year)
If Sarah invests in the normal savings account, her net value (after taxes) five years from now will be?:
After five years, her IRA account's net worth (after taxes) will indeed be $14,322.88 ($10,000 + $4,322.88).
What do you mean by interest earned?Sarah will be required to file taxes just on interest received each year if she places the $10,000 inside a standard savings account, which will lower her net worth.
She will have earned $800 in pre-tax interest every year, assuming she receives nominal interest of 8% annually.
She will, however, be liable for $240 in taxes just on interest generated each year (30% of $800) since she falls into the 30% tax bracket.
Her pre-tax interest earnings after five years will total $4,000 ($800 x five years). She will still have paid $1,200 in total in taxes just on interest generated ($240 x 5)
She will therefore have a net worth of $12,800 ($10,000 + $4,000 - $1,200) in the normal savings account after five years (after taxes).
Sarah won't have to pay taxable income on the $10,000 invested in such an IRA account or the interest accrued until she starts taking distributions in retirement.
She will have earned $800 in pre-tax interest every year, assuming she receives nominal interest of 8% annually.
She will have the whole $800 to reinvest & compound each year, though, as she is not subject to income taxation on the interest gained each year.
She will have earned $4,322.88 in pre-tax interest after five years, and she won't have to pay any taxes until she starts taking withdrawals in retirement.
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