I believe the answer would be A.
Hope is a single taxpayer who earns $45,000 per year in taxable income working as a salesperson. She has $200 in long-term capital gains on an investment that cost her $4,250 to purchase. Compute the tax on her investment to determine the after-tax return on investment (ROI).
A. 3%
B. 4%
C. 5%
D. 7%
E. 8%
Answer:
B. 4%
Step-by-step explanation:
Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.
Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings
her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%
Answer: 4%
Step-by-step explanation:
What statements is equal to the expression p\11
Answer: "p divided by 11" or "p over 11" or "p by 11".
Step-by-step explanation:
We use mathematical statements to express any algebraic expression.
For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".
p+q as "sum of p and q" or "p is added to q"
The given expression is : [tex]\dfrac{p}{11}[/tex]
In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".
Hence, the statements are equal to the expression [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".
When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. Of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.N = 24. What is the value n? n = 18 n = 20 n = 21n equals 23 and StartFraction Over 5 EndFraction 5 n = 23n equals 23 and StartFraction Over 5 EndFraction 5
Answer: n = 20
Step-by-step explanation:
Given that the problem goes thus:
When a number, n is added to 1/5 n of itself, the outcome obtained is 24.
Mathematically,
n + 1/5 of n = 24
n + (1/5n) = 24
1n + 1/5n = 24
(5n + 1n) / 5 = 24
6n / 5 = 24
6n = 24 × 5
6n = 120
n = 120 / 6
n = 20
Answer:
B on edg, n=20
Step-by-step explanation:
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
degree 4, x=-1, x=1/5 are both zeros with multiplicity 2. What is the expression for the plynomial p(x) with these numbers?
Answer:
p(x) = (x + 1)²(5x - 1)²
Step-by-step explanation:
Since we are given the 2 zeroes, we put them into binomial form:
(x + 1)(5x - 1)
We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:
(x + 1)²(5x - 1)²
When we multiply it out, we should get a polynomial with a degree of 4.
Can someone help me with this question please
What is y when x= -3?
Answer:
y = 4
Step-by-step explanation:
We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.
Answer:
4
Step-by-step explanation:
the sum of 4 and the second power of b is equal to 104. write as an equation
Answer:
4 + b² = 104
Hope this helps. :)
Answer:
b^{2} + 4 = 104.
Step-by-step explanation:
The sum of 4 and the second power of b basically means 4 + b^2.
b^2 + 4 = 104
[tex]b^{2} + 4 = 104[/tex]
b^2 = 100
b = plus or minus 10.
Hope this helps!
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
Robbie scores 78 in his test, Adam scores 54. By how much percentage% is Robbie's score better than Adam's? Please give a step-by-step explanation, thanks
Answer:
44%
Step-by-step explanation:
1% of 54 is 0.54
78/0.54=144.444444
-100% b/c that's the base
44% better
What is the measure of angle D?
Answer:
52
Step-by-step explanation:
Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:
360 - (128+126+54)
360 - 308
52
Answer:
52°
Step-by-step explanation:
The trapezoid is a closed figure, meaning all the angles must equal 360°.
1. Set up the equation
128° + 126° + 54° + ∠D = 360°
2. Solve for ∠D
360 - 128- 126- 54 = 52
∠D = 52°
You can also solve this by knowing that in a trapezoid:
∠A + ∠D = 180° and ∠B + ∠C = 180°
1. Set up the equation
128 + ∠D = 180°
2. Solve
180 - 128 = 52
∠D = 52°
Question 1: Explain how the letter x (or any letter) is used when writing expressions, and give an example. How are expressions different than equations?
Question 2: Identify the parts (include: terms, coefficients, variables and constants) of the following expression and translate it into a verbal expression:
2(3x – 2y) + 7
Question 3: Identify the like terms, explain how you know they are like terms, and simplify the expressions:
10y + 3x + 10 +x -2y
3x – y + 4x + 6 – 2y
Question 4: Explain how to evaluate the expression 8x2 + 25y, when x = 3 and y = 2
Question 5: Explain how to write an equivalent expression for the expression
3(4x + 2y) + 5x.
Be sure to explain which properties you used. What method can you use to prove the 2 expressions are equivalent?
Answer:
Question 1:
The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea
Question 2:
The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7
Question 3:
In the first expression, the like terms are;
10y and (-2y),
3x and x
In the second expression, the like terms are;
-y and -2y
3x and 4x
The first expression simplifies to 8y + 4x + 10
The second expression simplifies to 7x - 3y + 6
Question 4:
The expression is evaluated as 122
Question 5:
The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y
To prove when x = 1 and y = 2 we have;
3(4×1 + 2×2) + 5×1 is 29
17×1 + 6×2 is 29 which are equivalent in value
Step-by-step explanation:
Question 1:
The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea
Example;
If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours = 24·x
An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints
An equation is a statement that two expressions are equal
Question 2:
The given expression is 2(3x - 2y) + 7
The parts are;
The coefficient of (3x - 2y) = 2
The constant term = 7
The variables are x and y
Which gives
The coefficient of the variable x = 6
The coefficient of the variable y = -4
The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7
or
The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7
or
The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;
Six times (variable) x minus four times (variable) y plus the constant 7
Question 3:
The expressions are;
10y + 3x + 10 + x - 2y..........................(1)
3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)
In the first expression, the like terms are;
10y and (-2y),
3x and x
In the second expression, the like terms are;
-y and -2y
3x and 4x
They are like terms because they can be simply added together to simplify the expressions as follows
10y + 3x + 10 + x - 2y gives 10y - 2y + 3x + x 10 to give 8y + 4x + 10
Also
3x - y + 4x + 6 - 2y gives 3x+ 4x - y - 2y + 6 to give 7x - 3y + 6
Question 4:
The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)
The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122
Question 5:
To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;
3×4x + 3×2y + 4x which is 12x + 6y + 4x
We combine like terms;
12x + 5x + 6y which is 17x + 6y
To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2
3(4×1 + 2×2) + 5×1 is 29
17×1 + 6×2 is 29
If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
Simplify 2a(b + a) - 2b(b - a)
Answer:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]Step-by-step explanation:
[tex]2a(b + a) - 2b(b - a)[/tex]
Expand by distributing terms:
[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]
Remove parentheses:
[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]
Collect like terms:
[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]
Simplify:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1
2
4
6
Answer:
Option 2
Step-by-step explanation:
A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm
While a unit cube has a volume of 1 cubic cm
So,
2 cubes of these dimensions can fit into a unit cube.
Answer:
2
Step-by-step explanation:
volume of the unit cube:
V = 1 * 1 * 1 = 1
volume of the half-cube:
V = 1/2 * 1 * 1 = 1/2
number of half cubs that fit in unit cube:
1/(1/2) = 2
Answer: 2
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answer:
5.
Step-by-step explanation:
If the first 4 picked are of different colours then the fifth sock must be a match. for one of the four.
On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.
Answer:
[tex]P=0.1833[/tex]
Step-by-step explanation:
The number of ways or combinations in which we can choose x elements from a group of n is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, the probability that none of the damaged houses are insured can be calculated as:
[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]
Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.
The probability that none of the damaged houses are insured is 1/120, so:
[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]
kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.
Then, the probability that one of the damaged houses is insured can be calculated as:
[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]
Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.
Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:
[tex]P=\frac{1}{120}+0.175=0.1833[/tex]
There are 130 people in a sport centre, 73 people use the gym, 62 people use the swimming pool, 58 people use the track, 22 people use the gym and pool, 29 people used the pool and track, 25 people use the gym and track, 11 people use all three facilities, how many people use at least two facilities
Answer:
59/130
Step-by-step explanation:
Xiao Duo and Xiao Hua have the same number of balloons. After Xiaoduo used 16 balloons, Xiaohua's balloons were 3 times that of Xiaoduo. How many balloons does Xiaohua have?
Answer:
Step-by-step explanation:
Let the number of balloons be X
Xiao Duo = X
Xiao Hua = X
Xiaoduo used 16 balloons = x - 16
Xiaohua balloons x = 3 ( x - 16)
x = 3x - 48
Collect like terms
48 = 3x - x
48 = 2x
Divide both sides by 2
48/2= x
x = 24
Xiaohua has 24 balloons
A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25
Hey there! I'm happy to help!
A box and whisker plot is a super useful tool for finding these kinds of data!
The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.
Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.
The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.
So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.
Now you can interpret box and whisker plots! Have a wonderful day! :D
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
What is the simplified expression fro -3cd-d(2c-4)-4d
Answer:
-5cd
Step-by-step explanation:
-3cd-2cd+4d-4d
-3cd-2cd=-5cd
4d-4d=0
=-5cd
Answer:
-5 cdSolution,
[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]
Hope this helps...
Good luck on your assignment..
Which one doesn’t belong and why?
i think y= b^x because it is only the odd one from the group
the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Answer:
1 : 6/25
Step-by-step explanation:
Convert 2.5 meters to cm
We know 100 cm = 1m
2.5 m * 100cm / 1m = 250 cm
250 cm : 60 cm
Divide by 250
250/250 = 60/250
1 : 6/25
or as a decimal
1 : .24
Please! Someone help me! You will get a BRAINLIEST if you get this correct!
Answer:
Yes because 9x2+6x=0 when x=-2/3Answer:
option 4
Step-by-step explanation:
Simplify the equation,
9x² + 6x = 3x ( 3x + 2)
9x² + 3x = 3x*(3x + 1)
9x² + 9x + 2 =9x² + 3x + 6x + 2*1
= 3x(3x + 1) + 2(3x + 1)
= (3x+ 1)(3x +2 )
[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]
Both sides (3x+1)(3x+2) will get cancelled
[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]
Cross multiply,
5(3x) =10(3x+1)-(3x+2)
When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]
= -10
When x= -2/3, RHS = 10(3x+1)-(3x+2)
= [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]
= 10(-2+1) - (-2+2)
= 10 * (-1) -0
= -10
LHS = RHS
So, -2/3 is a solution
A point A is graphed at (0, 5). Complete the coordinates of a shape that can be rotated about the y-axis to create a cone. Provide an explanation for your answer please
Answer:
(0, 5), (0, 1), and (3, 1).
Step-by-step explanation:
If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.
Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).
Hope this helps!
The surface area of a cube is 78 cm^2. What is the volume of the cube, rounded to
the nearest tenth of a cm^3?
Answer:
46.87
Step-by-step explanation:
V=*(A^3/2
)/36
V=*(46.87^3/2
)/36
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
To find the area of this shape we must divide it into 2 parts :
Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days
Answer:
62.17 days
Step-by-step explanation:
The computation of the number of days is shown below:
Given that
A(t)=10 × 0.5^(t ÷ 18.72)
1 = 10 × 0.5 ^ (t ÷ 18.72)
0.1 = 0.5 ^ (t ÷ 18.72)
Now consider the log in both sides
ln(0.1) = ln(0.5)^ (t ÷ 18.72)
ln(0.1) ÷ ln(0.5) = (t ÷ 18.72)
3.321928095 = (t ÷ 18.72)
So, t = 62.17 days
With the help of log, we can easily compute it
A father is 38 years old, his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be the same age as his children put together?
Answer: 6
Step-by-step explanation:
38+x= 13+5+8+x
38+x=26+x
38-26=2x
12=2x
x=6