Answer:
7 or more customers
Step-by-step explanation:
6 +2c = >20
This is the graph of f(x). What is the value of f(3)?
10V
O A. 5
OB. 6
O C. 3
O D. 8
Answer:
The value of f(3) is 8 ⇒ D
Step-by-step explanation:
In the function f(x) = y, y is the corresponding value of xEx: If f(a) = b, then the value of y = b at x = aLet us solve the question
∵ The given figure represents the function f(x)
→ That means every point on the graph represents f(x) = y
∴ f(x) = y
∵ We need to find f(3)
→ That means we need the value of y at x = 3
∴ x = 3
Look at the graph and find the y-coordinate of the point that lies on the curve and has x-coordinate = 3
→ Each small square on the x-axis represents 1 unit, and on the y-axis
represents 2 units
∵ There is a point on the graph that has x-coordinate = 3
∵ The y-coordinate of this point is 8
∴ The point (3, 8) lies on the graph of f(x)
∴ x = 3 and y = 8
∴ f(3) = 8
∴ The value of f(3) is 8
what is the sum of the measures of the interior angles of a 10-sided figure?
A 10-sided figure has a total interior angle measurement of 1440°. Each inner angle is 144° in length.
The sum of the measures of the interior angles of a 10-sided figure is 1440°. This is because the sum of the interior angles of any polygon is equal to (n – 2) × 180°, where n is the number of sides of the polygon. Therefore, for a 10-sided figure, the sum of the measures of the interior angles is (10 – 2) × 180° = 1440°. Each interior angle of a 10-sided figure is equal to 144°, which is calculated by dividing the total sum (1440°) by the number of sides (10). Thus, the sum of the measures of the interior angles of a 10-sided figure is 1440° and each interior angle has a measure of 144°.
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How do I determine that answer step by step?
Answer:
just write the expression
Step-by-step explanation:
if its for math but then i dont know
Find the Slope of a line that passes through points
(1,8) (2,12)
Answer:
4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(12-8)/(2-1)
m=4/1
m=4
find the radius of convergence, r, of the series. [infinity] n = 1 (−1)nxn 7 n
The radius of convergence, denoted as r, of the series ∑(n=1 to infinity) (-1)^n * x^n / 7^n is 7.
The radius of convergence can be determined using the ratio test, which states that for a power series ∑(n=0 to infinity) a_n * (x - c)^n, if the limit of the absolute value of (a_(n+1) / a_n) as n approaches infinity exists, then the series converges if the limit is less than 1 and diverges if the limit is greater than 1.
In this case, a_n = (-1)^n / 7^n, and we can apply the ratio test:
|(-1)^(n+1) * x^(n+1) / 7^(n+1)| / |(-1)^n * x^n / 7^n| = |x / 7|
As n approaches infinity, the absolute value of (x / 7) remains constant. Thus, for the series to converge, |x / 7| < 1, which implies that |x| < 7. Therefore, the radius of convergence is 7.
Note that the endpoints of the interval of convergence should be checked separately to determine if the series converges at those points.
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pls help me solve this volume problem
Answer:
220
Step-by-step explanation:
First, find the area of the bottom prism.
5x10x3 = 150.
Then find the area of the top prism.
The trapezoid's area is 7, multiply this by 10.
Add your quantities together.
You get 220.
Please help me with the correct answers
Answer:
13 ft
Step-by-step explanation:
we need to find the square root of 169
√169 = 13
A company that ships glass for a manufacturer claimed that its shipping boxes are constructed so that no more than 8 percent of the boxes arrive with broken glass. The glass manufacturer believes that the actual percent is greater than 8 percent. The manufacturer selected a random sample of boxes and recorded the proportion of boxes that arrived with broken glass. The manufacturer tested the hypotheses H0:p=0. 08 versus Ha:p>0. 08 at the significance level of α=0. 1. The test yielded a p-value of 0. 1.
Assuming all conditions for inference were met, What is the correct conclusion?
The cοrrect οptiοn is Optiοn D. The p-value is less than α, and the null hypοthesis is nοt rejected. There is nο cοnvincing evidence that the prοpοrtiοn οf all bοxes that cοntain brοken glass is greater than 0.08.
Frοm the given data,
A cοmpany that ships glass fοr a manufacturer claimed that its shipping bοxes are cοnstructed sο that nο mοre than 8 percent οf the bοxes arrive with brοken glass.
The glass manufacturer believes that the actual percentage is greater than 8 percent.
The manufacturer tested the hypοtheses
H0: p = 0.08 and Ha: p > 0.08
The test yielded a p-value οf 0.1
Since the significance level (alpha) is 0.1 and the calculated p-value is 0.1,
we cοmpare the p-value tο alpha.
If the p-value is less than οr equal tο alpha, we reject the null hypοthesis H0: p = 0.08 in favοr οf the alternative hypοthesis Ha: p > 0.08.
If the p-value is greater than the alpha, we fail tο reject the null hypοthesis.
In this case, the calculated p-value οf 0.1 is greater than the significance level οf 0.1.
Therefοre, we fail tο reject the null hypοthesis and cοnclude that there is nοt enοugh evidence tο suppοrt the claim that the actual prοpοrtiοn οf bοxes with brοken glass is greater than 8%.
It is pοssible that the cοmpany's claim οf nο mοre than 8% brοken bοxes is accurate.
Therefοre,
The cοrrect οptiοn is Optiοn D.
The p-value is less than α, and the null hypοthesis is nοt rejected. There is nο cοnvincing evidence that the prοpοrtiοn οf all bοxes that cοntain brοken glass is greater than 0.08.
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Cοmplete questiοn:
A cοmpany that ships glass fοr a glass manufacturer claimed that its shipping bοxes are cοnstructed sο that nο mοre than 8 percent οf the bοxes arrive with brοken glass. The glass manufacturer believed the actual percent is greater than 8 percent. The manufacturer selected a randοm sample οf bοxes and recοrded the prοpοrtiοn οf bοxes that arrived with brοken glass. The manufacturer tested the hypοtheses H0:p=0.08 versus Ha:p>0.08 at the significance level οf α=0.01.
The test yielded a p-value οf 0.001. Assuming all cοnditiοns fοr inference were met, which οf the fοllοwing is the cοrrect cοnclusiοn?
The p-value is less than α, and the null hypοthesis is nοt rejected. There is nοt cοnvincing evidence that the prοpοrtiοn οf all bοxes that cοntain brοken glass is greater than 0.08.
The p-value is less than α, and the null hypοthesis is nοt rejected. There is nοt cοnvincing evidence that the prοpοrtiοn οf all bοxes that cοntain brοken glass is greater than 0.08.
The p-value is greater than α, and the null hypοthesis is rejected. There is nοt cοnvincing evidence that the prοpοrtiοn οf all bοxes that cοntain brοken glass is greater than 0.08
The p-value is less than α, and the null hypοthesis is nοt rejected. There is nοt cοnvincing evidence that the prοpοrtiοn οf all bοxes that cοntain brοken glass is greater than 0.08.
izzy is calculating the amount of time it takes a rocket to get to the moon. the moon is around 239,000 miles from earth. how many hours would it take a rocket that can travel at 500 miles per minute to travel to the moon? round to the nearest hour.
Rounding to the nearest hour, it would take the rocket approximately 8 hours to travel to the moon at a speed of 500 miles per minute.
The amount of time it takes a rocket to travel to the moon, we need to divide,
the distance between the earth and the moon (239,000 miles) by the speed of the rocket (500 miles per minute).
So, the calculation would be:
239,000 miles ÷ 500 miles per minute = 478 minutes
To convert this into hours, we need to divide by 60:
478 minutes ÷ 60 = 7.97 hours
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How to do this question plz answer me step by step plzz plz
Answer:
194.25meters
Step-by-step explanation:
The distance around the running track is calculated as:
Perimeter of the first semi circle + Perimeter of the second circle +50m + 50m
Semi circle has a length or diameter of = 30m
r = 30/2 = 15m
Perimeter of a circle = 2πr
Hence for a semi circle = 2πr/2 = πr
Perimeter of the first semi circle = π × 15
= 47.123889804m
Perimeter of the second semi circle is the same hence,
π × 15 = 47.123889804m
The distance around the running track
= 47.123889804m + 47.123889804m + 50m + 50m
= 194.24777961m
Approximately= 194.25meters.
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides are in same proportion.
\(\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}\)
Cross multiply,
4x*12 = 15*(3x + 1)
48x = 15*3x + 15*1
48x = 45x + 15
48x -45x = 15
3x = 15
x = 15/3
x = 5
A candy dish is filled with a mix of yellow and pink jelly beans Brian and Ali take turns picking a jelly bean without looking are these 2 events dependent or independent
Given:
Brian and Ali take turns picking a jelly bean without looking
Required: Dependent or independent event
Explanation:
Brian picked a jelly bean first and after Ali picked second. The probability of Ali picking up depends on the jelly bean.
Hence the events are depndent.
Final Answer: Dependent events
I need help pls this is to get my grades up
Answer:
This is easy trust me everything will be fine first drag it to the bottom right the same way you do it on the Hub and then go 4 units below and you’re all set.
Step-by-step explanation:
a:b = 1:5
a:c = 2:1
how many times is b bigger than c
b is 10 times bigger than c. the ratio A:b is equivalent to the ratio a:c multiplied by 5: A:b = (a:c) * 5
To determine how many times b is bigger than c, we need to compare their respective ratios.
Given:
A:b = 1:5
a:c = 2:1
To make a comparison, we can find the relative sizes of b and c by considering the ratios they have with other variables.
From the ratio A:b = 1:5, we can rewrite it as A:b = 2:10 (multiplying both sides by 2).
Comparing the ratios A:b and a:c, we can see that the ratio A:b is equivalent to the ratio a:c multiplied by 5:
A:b = (a:c) * 5
Substituting the given ratios, we have:
2:10 = (2:1) * 5
Now, we can compare the values of b and c directly:
b = 10
c = 1
Therefore, b is 10 times bigger than c.
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Suppose a central angle is inscribed inside of a circle. The angle measures 36 degrees and the minor arc is 15 cm. Calculate the area of the circle and round your answer to two decimal places.
The area of the circle is 1790.49 centimeters square
To calculate the area of the circle, we shall need the radius of the circle
We can get the radius from the arc length
Mathematically, the length of an arc is;
\(\frac{\theta}{360\text{ }}\text{ }\times\text{ 2}\pi r\)From the question, the length is 15 cm while the central angle is 36
Thus we have;
\(\begin{gathered} 15\text{ = }\frac{36}{360}\text{ }\times\text{ 2}\pi r \\ \\ 150\text{ = 2}\pi r \\ \\ \pi r\text{ = 75} \\ \\ r\text{ = }\frac{75}{\pi} \end{gathered}\)Mathematically, the area of the circle will be;
\(\begin{gathered} A\text{ =}\pi\text{ }\times r^{2^{}} \\ \\ A\text{ = }\pi\text{ }\times\text{ }\frac{75}{\pi}\text{ }\times\text{ }\frac{75}{\pi} \\ \\ A\text{ = }\frac{75^2}{\pi}\text{ = 1,790.49 cm} \end{gathered}\)arianne is taking a geometry course and is working with the area of triangles. she knows the area and the height but needs to find the base. rearrange the following equation for b, where a is the area, b is the base, and h is the height of the triangle. a
Base is 2 times A over height= \((base)=\frac{2Area}{height}\).
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.
Area of a triangle is given by the formula;
\(A=\frac{1}{2} base * height\)
Now, we need to solve for b. We multiply the right side, cross multiply, and follow rules of algebra to isolate b. Shown below:
\(A=\frac{1}{2} base*height\\A=\frac{bh}{2} \\2A=bh\\b(base)=\frac{2A}{h}\)
Thus, Base is 2 times A over height= \((base)=\frac{2Area}{height}\).
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Answer:
The answer is B
Step-by-step explanation:
The sides of a regular hexagon are equal in length. The perimeter of the hexagon is at most 24 inches. Find the possible side lengths of the hexagon. Let the lengths of the sides be x.
Answer:
\(0 < \text{x} \le 4\)
If x is an integer, then x is any value in the set {1,2,3,4}
======================================================
Work Shown:
x = length of each side
6x = perimeter of the regular hexagon
The perimeter must be greater than 0.
Also, the perimeter must be less than or equal to 24. This is because of the phrasing "perimeter is at most 24 inches".
In other words, the perimeter is between 0 and 24, excluding 0 and including 24.
\(0 < \text{ perimeter } \le 24\\\\0 < 6\text{x} \le 24\\\\0/6 < 6\text{x}/6 \le 24/6\\\\0 < \text{x} \le 4\\\\\)
If x is an integer, then x can be any value in the set {1,2,3,4}
Examples:
The side length x = 2 leads to a perimeter 6x = 6*2 = 12 inches. This shows why x = 2 is in the set shown above.The side length x = 5 leads to a perimeter 6x = 6*5 = 30 inches. This shows why x = 5 (and larger) is not in the set shown above.Adding 3 to which digit in the number 736124 will increase the value of the number by 30,000?
Answer:
3
Step-by-step explanation:
736,124
It is in the 10 thousandths place
Use the function f(x) to answer the questions:
f(x) = 2x2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
a) The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.
b) The coordinates of the vertex are (0.75, -5.125).
c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
Setting f(x) = 0:
\(2x^2 - 3x - 5 = 0\)
To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:
x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))
x = (3 ± √(9 + 40)) / 4
x = (3 ± √49) / 4
x = (3 ± 7) / 4
This gives us two possible solutions:
x1 = (3 + 7) / 4 = 10/4 = 2.5
x2 = (3 - 7) / 4 = -4/4 = -1
Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.
To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:
x = -(-3) / (2(2))
x = 3 / 4
x = 0.75
To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):
f(0.75) = 2(0.75)^2 - 3(0.75) - 5
f(0.75) = 2(0.5625) - 2.25 - 5
f(0.75) = 1.125 - 2.25 - 5
f(0.75) = -5.125
Therefore, the coordinates of the vertex are (0.75, -5.125).
Part C: To graph the function f(x), we can follow these steps:
Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).
Plot the vertex obtained in Part B: (0.75, -5.125).
Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.
Extend the curve to the left and right of the vertex, ensuring symmetry.
Label the axes and any other relevant points or features.
By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).
The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).
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In the Central City Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race?
Answer:
wuxuu ahha ninkkff waxay dhahday waxay dhahday bari iyo galbeed wadanka Maraykanka
Andrew solved the following inequality, and his work is shown below:
−4(x + 8) ≤ −2x + 50
−4x − 32 ≤ −2x + 50
−2x − 32 ≤ 50
−2x ≤ 82
x ≤ −41
What mistake did Andrew make in solving the inequality?
a
He did not make a mistake.
b
When dividing by −2, he did not change the direction of the sign.
c
He added 2x to both sides when he should have subtracted.
d
He added 32 to both sides when he should have subtracted.
Answer:
B
Step-by-step explanation:
When dividing or multiplying by a negative number, you flip the sign.
Twice a number increased by 7 is 13. Find the number.
Answer:
6
Step-by-step explanation:
13-7=6
Answer:
I will say 2x + 13 = -21
Step-by-step explanation:
an isosceles right triangle has side length uniformly distributed on (0,1). find the expectation and variance of the length of the hypotenuse.
The expectation and variance of the length of the hypotenuse are 2√2 / 3 and 2/9, respectively.
Let X be the side length of the isosceles right triangle. Then, the length of the hypotenuse is H = X√2. We want to find the expectation and variance of H.
The probability density function of X is f(x) = 2x for 0 < x < 1, and f(x) = 0 otherwise, since X is uniformly distributed on (0,1).
To find the expected value of H, we use the formula for the expected value of a function of a random variable:
E[H] = E[X√2] = √2 E[X]
To find the variance of H, we use the formula for the variance of a function of a random variable:
Var(H) = Var(X√2) = 2 Var(X)
where we have used the fact that X and √2 are constants, so their covariance is zero.
To find Var(X), we use the formula for the variance of a continuous random variable:
Var(X) = E[X^2] - (E[X])^2
We already know E[X], so we need to find E[X^2]. To do this, we integrate X^2 times the probability density function over the range (0,1):
E[X^2] = ∫[0,1] x^2 f(x) dx = ∫[0,1] 2x^3 dx = 1/2
Therefore, Var(X) = E[X^2] - (E[X])^2 = 1/2 - (2/3)^2 = 1/18.
Finally, we have:
Var(H) = 2 Var(X) = 2/9.
Therefore, the expectation and variance of the length of the hypotenuse are 2√2 / 3 and 2/9, respectively.
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Someone please help me with this! Thanks :)
Answer:
\(y=2x+7\)
Step-by-step explanation:
Given the equation
\(y=-\frac{1}{2}x\)
comparing the equation with the slope-intercept form
\(y=mx+b\)
Here,
m is the slope y is the interceptso the slope of the line is -1/2
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: 2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2, 3) is:
\(y-y_1=m\left(x-x_1\right)\)
substituting the values m = 2 and the point (-2, 3)
\(y-3=2\left(x-\left(-2\right)\right)\)
\(y-3=2\left(x+2\right)\)
Add 3 to both sides
\(y-3+3=2\left(x+2\right)+3\)
\(y=2x+7\)
A new component is placed in service and nine spares are available. The times to failure in days are independent exponential variables, T i ∼EXP(100). (a) What is the distribution of ∑ i=110T i ? (b) What is the probability that successful operation can be maintained for at least 1.5 years? Hint: Use Theorem 8.3.3 to transform to a chi-square variable. (c) How many spares would be needed to be 95% sure of successful operation for at least two years? If X∼GAM(θ,κ), then Y=2X/θ∼χ
2(2κ) Proof M Y(t)=M 2X/θ(t)=M X(2t/θ)=(1−2t) −2κ/2 which is the MGF of a chi-square distribution with 2κ degrees of freedom. The gamma CDF also can be expressed in terms of the chi-square notation. If X∼GAM(θ,κ), and if H(y;v) denotes a chi-square CDF with v degrees of freedom, then F
X (x)=H(2x/θ;2κ)
The correct answer is the value x such that: P(X ≥ x) = 0.95
(a) The sum of independent exponential variables with the same rate parameter follows a gamma distribution. In this case, since each T_i follows an exponential distribution with a rate parameter of 1/100 (mean of 100), the sum ∑_{i=1}^{10} T_i follows a gamma distribution with shape parameter k = 10 and scale parameter θ = 100. Therefore, ∑_{i=1}^{10} T_i ∼ Gamma(10, 100).
(b) To find the probability of successful operation for at least 1.5 years, we need to calculate the cumulative distribution function (CDF) of the gamma distribution at 1.5 years (547.5 days). Using the gamma CDF, denoted by F_X(x), we have:
P(X ≥ 547.5) = 1 - F_X(547.5)
Using the gamma CDF with shape parameter k = 10 and scale parameter θ = 100, we can calculate this probability.
(c) To determine the number of spares needed to be 95% sure of successful operation for at least two years, we need to find the point where the cumulative distribution function (CDF) of the gamma distribution is 0.95. In other words, we need to find the value x such that: P(X ≥ x) = 0.95
Using the gamma CDF with the appropriate shape and scale parameters, we can solve for x.
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A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x.
The value of x of angle ∠C is 66°.
What are angles?An angle is a figure formed by two rays or lines that have the same endpoint in plane geometry. The Latin word "angulus," which means "corner," is where the word "angle" originates. The common endpoint of the two rays—known as the vertex—is referred to as an angle's sides. Depending on the measurement, there are various angles in geometry. Basic angles are identified by their names: acute, obtuse, right, straight, reflex, and full rotation.So, the value of x:
As we can see that A is a straight angle. Then ∠BAC will be:
156 + ∠BAC = 180∠BAC = 180 - 156∠BAC = 24°Now, we know that in △ABC, ∠A = 24° and ∠B = 90° (Given), then ∠C will be:
x + ∠A + ∠B = 180x + 24 + 90 = 180x + 114 = 180x = 180 - 114x = 66Therefore, the value of x of angle ∠C is 66°.
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Help!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
What are the coordinates of the vertex for y= x + 71 – 2
Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar. Find the missing number in this proportion.
\( \frac{10}{15} = \frac{?}{21} \)
Answer:
for what?
Step-by-step explanation:
If Social Security Tax is 6.5% of one's income
and they paid $1,578.52 this past year as
shown on their W-2, how much did they
make?
ANSWER QUICK
Proportionately, if the social security tax is 6.5% of one's income and they paid $1,578.52 last year, they earned $24,285.
What is proportion?Proportion refers to the quantity contained in another.
Proportion is a ratio that shows the relative size or value of one quantity compared to another.
Proportions are depicted as fractions, decimals, or percentages because they are fractional values.
Social Security Tax rate = 6.5%
Amount paid in Social Security Tax = $1,578.52
$1,578.52 = 6.5%
The gross income = $24,285 ($1,578.52/6.5%)
Thus, proportionately, the total income was $24,285.
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