We can see Carlos’s real, after-tax ROI is A) 21.2%.
This is because he will have to pay taxes on his net profit, which will reduce his overall return on investment.
What is tax?Tax is a financial charge or levy imposed by a government on individuals, businesses, or other entities to fund public expenditure and support various governmental functions.
It is a mandatory payment required by law and collected by government authorities at different levels, such as national, state, or local governments.
ROI = (Net Profit / Investment) x 100
In this case, Carlos's net profit is $10,000 and his investment is $50,000.
However, he will have to pay taxes on his net profit, which will reduce his overall return on investment.
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Make m the subject of the equation
(a) 5(m + y) = 4(m - 3y)
Answer:
m=(-5y-3y)
Step-by-step explanation:
5m+5y=4m-3y
5m-4m=-5y-3y
m(5-4)=-5y-3y
m=(-5y-3y)/1
The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 18
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line
Answer:
They are the same line. It means that they are overlapping line.
Answer:
Overlapping
Step-by-step explanation:
Divide every term of the second equation, it would be 2x + y = 6, which is the same as the first equation.
If the CI on a sum of money for 3 years at
the rate of 2% per annum is 306.04, then
what will be the SI?
Answer:
Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loanCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nSimple Interest = 5000*0.02*3=300An isosceles triangle is shown. What is the measure of F?
A)32°
B)58°
C)64
D)Cannot be determined
Answer: A
Step-by-step explanation:
Answer: 64
Step-by-step explanation:
angles G and E are congruent, add 58 + 58 then subtract by 180 so sum up 64
Compare the values of the digit 8 in the number 6,084 and in the number 9,821
Answer:
Step-by-step explanation:
The eight in 6,084 is in the tenths place. Separately, it would be 80. The 8 in 9,821 is in the hundredths place. This one is worth 800. So the 8 in 9,821 is greater than the 8 in 6,084.
Explain how to determine the zeros of f(x)=(x+3)(x-1)
Answer:
x= -3, x = 1
Step-by-step explanation:
Zeros are values of x, when f(x) = 0.
0=(x+3)(x-1)
x+3 = 0, x - 1=0
x= -3, x = 1
Answer:
x = -3, x = 1
Step-by-step explanation:
To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.
In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.
As such, these are your solutions.
A sales position needs to be filled. There are two candidates available. The first candidate has 10 years of experience and can sell 10 units a week making a $3,000 profit per week for the company. He is asking for $80,000 salary. The second candidate has one year of experience and can sell eight units a week making a $2,400 profit for the company. He is asking for $45,000 salary. What candidate would make the company the most money their first year of employment?.
The candidate that would make the company the most money in their first year of employment is Candidate B
Which candidate would make more money?The amount of profit that a candidate can make for the company is:
= ( Number of weeks in year x Profit per week ) - Salary for the year
We shall assume 48 working weeks in a year.
The amount of money made by Candidate A would be:
= ( 48 x 3, 000 ) - 80, 000
= $64, 000
The amount of money made by Candidate B is:
= ( 48 x 2, 400 ) - 45, 000
= $70, 200
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put them in order .....................
Answer:
1: Subtract 9 from each side
2: divide each side by 2
3: add 11 to each side
4: divide each side by 4
Step-by-step explanation:
in order to successfully start the equation, you cannot outright divide both sides by 2, so you have to subtract the solo value from both sides to create a balanced equation. Then, you divide both sides by 2 to get rid of the parenthesis, and add 11 to each side in order for the variable to be on its own, and divide each side by 4 to find the value of x
Each month a manufacturing plant makes 14500 light bulbs. last month, a random sample of 200 bulbs found that 2.5% were defective. Estimate the number of defective bulbs that were produced last month.
PLEASE HELP ASAP I WILL GIVE BRAINLIEST
Answer:
363
Step-by-step explanation:
Of 2.5% of 200 is 5 so we can scale that up to 14500 we get 362.5 and then we round it up to 363.
PLEASEEE I CAN'T DO ITT
Answer:
answer is cm² ok
Step-by-step explanation:
because it is saying area ,in area we have to put cm2
What is Dangerous on living for 7 days on a can of sardines Questions. . . .
Answer:
YOU MIGHT FALL OFF
Step-by-step explanation:
that's the answer
-kenma #3
The area values of the circles given in the attachment are :
28.26 cm²50.24 in²314 m²12.56 cm²254.34 ft²4.52 km²7850 in²379.94 m²19.63 cm²200. 96 ft²1256 m²78.5 cm²7.07 m²113.04 in²200. 96ft²38.47 cm²0.28 km²3.14 cm²Area of a circle =
\( {\pi} {r}^{2} \)
Where, r = Radius
\( \frac{\pi {d}^{2} }{4} \)
d = diameter
\(\pi = 3.14\)
1.)
r = 3cm
Area = 3.14 × 3² = 28.26 cm²
2.)
r = 4 in
Area = 3.14 × 4² = 50.24 in²
3.)
r = 10 m
Area = 3.14 × 10² = 314 m²
4.)
r = 2cm
Area = 3.14 × 2² = 12.56 cm²
5.)
r = 9 ft
Area = 3.14 × 9² = 254.34 ft²
6.)
r = 1.2 km
Area = 3.14 × 1.2² = 4.52 km²
7.)
r = 50 in
Area = 3.14 × 50² = 7850 in²
8.)
r = 11 m
Area = 3.14 × 11² = 379.94 m²
9.)
r = 2.5 cm
Area = 3.14 × 2.5² = 19.63 cm²
10.)
d = 16 ft
Area = (3.14 × 16²) ÷ 4 = 200. 96ft²
11.)
d = 40 m
Area = (3.14 × 40²) ÷ 4 = 1256 m²
12.)
d = 10 cm
Area = (3.14 × 10²) ÷ 4 = 78.5 cm²
13.)
d = 3 m
Area = (3.14 × 3²) ÷ 4 = 7.07 m²
14.)
d = 12 in
Area = (3.14 × 12²) ÷ 4 = 113.04 in²
15.)
d = 16 ft
Area = (3.14 × 16²) ÷ 4 = 200. 96ft²
16.)
d = 7cm
Area = (3.14 × 7²) ÷ 4 = 38.47 cm²
17.)
d = 0.6 km
Area = (3.14 × 0.6²) ÷ 4 = 0.28 km²
18.)
d = 2 cm
Area = (3.14 × 2²) ÷ 4 = 3.14 cm²
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MULTIPLE CHOICES
1. The graph of -3y + 6 = 0 crosses the y axis at _____.
a. -6 b. -2 c. 0 d. 2
2. If 2x + y + 9 and 2x - y = 11, What is the value of x?
a. 4 b. 10 c. 5 d. 20
3. Which of the following pair of questions describes the graph with coinciding lines?
a. x + y = 1 and x - y = 1
b. {3x + 5y = -2x - 4y - 8y = 40
c. 3x - 6y = 10 and x + 2y = 7
d. none of the given choices
4. Which of the following is a system of linear equations in two variables ?
a. 2x - 7y = 8
b. {3x + 5y = -2 x -4 y = 9}
c. {x + 9y = 22 x -3 > 12 }
d. 4x + 1 = 18
5. How many solutions do a consistent and independent system of linear equations have ?
a. 0 b. 2 c. 1 d. infinite
6. How would you describe the graphs of 3x + y = 5 and 2x + y = 9 ?
a. parallel c. coinciding
b. intersecting d. infinite
7. How many solutions does this pair of equation have?
(3x + y = 5 and 2x + y = 9)
a. 1 b. 2 c. 3 d. 4
Answer:1=d 2=d 3=a 4=a 5=c 6=b 7=b
Step-by-step explanation:
Answer:h
Step-by-step explanation:
For each set of given information complete the missing information in the table
The missing information in the table is $290,000 for Firm 1 and $18,562,433 for Firm 2
The premium of a bond can be calculated by taking the coupon rate and subtracting the yield, and then multiplying the result by the face value of the bond.
For Firm 1, the premium is given by (7.00% - 8.00%) × $300,000 = -$10,000.
The proceeds of Firm 1 can then be calculated by
=> $300,000 – $10,000 = $290,000.
For Firm 2, the yield and coupon rate that is as interest are both given as 3.00%. This means that the bond will be sold at par value, so the face value and proceeds of the bond will be the same.
The face value of Firm 2 can be calculated by taking the proceeds given and dividing by the bond’s yield.
Thus, Firm 2’s face value is given by $556,853 / 3.00% = $18,562,433.
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Complete Question:
Complete the missing information in the table below. Assume that all bonds pay interest semiannually.
Do not use negative signs with answers.
Round percentages to one decimal place (ex. 0.0345 = 3.5%).
Round all other values to the nearest whole number.
Annual Years to Coupon Issue
Yield Maturity Rate Face value Proceeds
Firm 1 8.00% 15 7.00% $300,000 $_______
Firm 2 3.00% 10 0.00% $_______ $556,853
What is 32% of 495. I have to type more because its not in the 20 charter lenth.
Answer:
158.4
Step-by-step explanation:
32% multiple 495
=158.4
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Answer:
Volume of water remaining in Abigail's cup = 25.12 cm³
Step-by-step explanation:
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi
Volume of a cone cup = πr²h/3
Radius, r = 3 cm
Height, h = 8 cm
Pi, π = 3.14
Volume of a cone cup = πr²h/3
= (3.14 * 3² * 8) / 3
= (3.14 * 9 * 8) / 3
= 226.08 / 3
= 75.36 cm³
Abigail sloshes 2/3 of the water out of her cup.
What is the volume of water remaining in Abigail's cup
Volume of water Abigail slosh = 2/3 of 75.36 cm³
= 2/3 * 75.36
= 150.72 / 3
= 50.24 cm³
Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh
= 75.36 cm³ - 50.24 cm³
= 25.12 cm³
Volume of water remaining in Abigail's cup = 25.12 cm³
Answer:
25.12
Step-by-step explanation:
I checked in khan
When rolling a die (number cube), what is the probability of rolling a 2 or a 3?
OA. //
OB.
0C. 1/1/0
OD. 1/1/2
OE. 5/10
Answer:
1/3
Step-by-step explanation:
6 faces in a die
1/6 of rolling each side
1/6 of rolling 2 or 3
2/6 chance, 1/3 (simplified)
what punishment should be given to students
In school suspension
subscript indices must be either positive integers or logicals:T/F
Therefore, subscript indices must be either positive integers or logical. True
Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.
Therefore, subscript indices must be either positive integers or logical. True
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Multiply each equation by a number that produces opposite coefficients for x or y 1/3x -2/3 y=7
Answer:
Attached
Step-by-step explanation:
40 POINTS GOD HELP ME PLEASE
What is the scale factor?
Answer:
x=12
Step-by-step explanation:
Round off 31623 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
31623
1 is less than 5 so you dont round up
30,000
-- Gage Millar, Algebra 2 Tutor
y= -5x + 1
Plz help me
Answer:
y = -4
Step-by-step explanation:
Hey there!
\(\text{Slope:}-5\\\text{y-intercept:}(0,1)\)
Graph down below!
Hope this helps!
\(\text{-TestedHyperr}\)
Please list the measurements of the8 interior angles on the map usingwhat you know about Angle Pairsand that Lombard and the roadpassing by i jump and Surge Bikewill never intersect.
Let's begin by identifying key information given to us:
We are given 8 interior angles & which are listed below:
\(\begin{gathered} \angle KDC=? \\ \angle DCH=? \\ \angle LDC=? \\ \angle DCH=? \\ \angle MEF=? \\ \angle HEF=? \\ \angle EFJ=? \\ \angle EF=? \end{gathered}\)Reading the value of the protractor, we will get the following angle for KDC = 130 degrees.
Angle DC = 50 degrees (Alternate Interior Angles with LDC)
Angle LDC = 50 degrees (Supplementary Angle with KDC)
Angle DCH = 130 degrees (Alternate Interior Angles KDC)
Angle MEF = 50 degrees (Corresponding Angle with DC)
Angle HEF = 130 degrees (Corresponding Angle with CDH)
Angle EFJ = 50 degrees (Alternate Interior Angles with MEF)
Angle EF = 130 degrees (Supplementary angle with EFJ)
the stony brook ams major has also been ranked for several years as one of the top five u.s. undergraduate programs in applied mathematics by college factual, as cited in usa today. the 2020 ranking is:
The Stony Brook University has been ranked as the third best university to pursue a degree in applied mathematic among all the other public and private universities.
Stony Brook University—SUNY is placed #77 in the Best Colleges rating for 2022–2023's National Universities category.
The tuition fees is $10,556 and $28,476 for in-state and out-of-state respectively. The Stony Brook University comes under the state University of New York along with the other 64 universities.
The Stony Brook AMS major has reportedly been listed by College Factual as one of the top five undergraduate applied mathematics degrees in the US for a number of years, according to USA Today. The top five schools for 2020 are CalTech, Stanford, Harvard, Brown, and Stony Brook.
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You are 14.2 meters from the center of town, at an angle of 190
∘
North of East (that is, 190
∘
as measured from the +x-axis, as usual). i. How far East (+x) of the town center are you? ii. How far North (+y) of the town center are you? (b) You are 12.00 m to the North (+y) of and −5.00 m to the East (+x) of the center. of town. i. How far are you from the center of town, and ii. at what angle? (c) You are standing 44.0 meters from the center of town, at an angle of 23
∘
North of East (angle measured counter-clockwise from the +x axis). From there, you walk 30.0 meters at an angle of 160
∘
North of East. i. How far are you from the center of town, and ii. at what angle? (d) You are standing 22.0 meters from the center of town, at an angle of 123
∘
North of East. You walk in a straight line to a spot that is 40.0 meters from and directly West (−x) of the center of town. i. How far and ii. in what direction did you walk?
(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.
(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.
(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.
(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).
(a) Given:
Distance from the center of town = 14.2 meters
Angle North of East = 190°
(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:
Distance East = Distance from center * cos(Angle)
Distance East = 14.2 * cos(190°) ≈ -11.79 meters
(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:
Distance North = Distance from center * sin(Angle)
Distance North = 14.2 * sin(190°) ≈ -2.98 meters
Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.
(b) Given:
Distance North (+y) of the center = 12.00 meters
Distance East (+x) of the center = -5.00 meters
(i) To find the distance from the center of town, we can use the Pythagorean theorem:
Distance from center = √((Distance North)² + (Distance East)²)
Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters
(ii) To find the angle, we can use trigonometry. The angle is given by:
Angle = atan(Distance North / Distance East)
Angle = atan(12.00 / -5.00) ≈ -67.38°
Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.
(c) Given:
Distance from the center of town = 44.0 meters
Angle North of East = 23°
Distance walked = 30.0 meters
Angle of walking North of East = 160°
(i) To find the new distance from the center of town, we can use the Law of Cosines:
New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))
New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters
(ii) To find the new angle, we can use the Law of Sines:
New angle = Angle + Angle of walking - 180°
New angle = 23° + 160° - 180° ≈ 3°
Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.
(d) Given:
Distance from the center of town = 22.0 meters
Angle North of East = 123°
Distance walked = 40.0 meters
Direction = West (-x)
(i) To find the new distance from the center of town, we can use the Pythagorean theorem:
New distance from center = √((Distance from center)² + (Distance walked)²)
New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters
(ii) To find the new direction, we can subtract the angle of walking from the original angle:
New angle = Angle - 90°
New angle = 123° - 90° ≈ 33°
Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).
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Someone pls answer this with explanation
Answer:
EXPlaIN THIS TO ME cuz i have no idea
Step-by-step explanation:
Answer:
f(-1)=6
Step-by-step explanation:
Translate the graph to y=mx+b form
\(y=-2x+3\)
insert -1 for x and solve
y=-2(-1)+3
y=2+3
y=6
f(-1)=6
calculate the surface area
Answer:
228 square meters
Step-by-step explanation:
I need both answers now please and don answer if u don’t know
Answer:3048.7804878
Step-by-step explanation:
I took the same test p.s. you may need to round.
you play a game with a biased coin where there is a 40% chance of heads and 60% chance of tails. you may place a bet; if heads is flipped then you receive your bet back plus the same in winnings. if tails is flipped then you lose your bet. you have $10 and you want to turn this into $20 by continuously betting $1 at a time, walking away when you either have a total of $20 or are bankrupt. what is the probability you will leave with $20?
Using Bionomial probability distribution,
the probability of getting all 10 times suceess or we will leave with $20 is 0.000104.
we have provide the following information
Coin is bised 40% chances of result head and 60% result is tail I have $10 and wants to earn $10 morelet the winning or success occour when heads come as result on toss of coin.
probability of winning (p) = 40% = 0.40
probability of failure (q) ,= 60% = 0.60
betting rate is $1 at a time . So, for turn $10 into $20 we have to toss a coin 10 times . After 10 toss either we complete $20 or bankrupt .
we have to calculate the probability that we winning the bet in all 10 rounds or turn $10 to $20. i.e probability of comming head in all toss of a biased coin as a result .
Using Bionomial distribution formula,
P(X= x) = ⁿCₓ(p)ˣ (q)⁽ⁿ⁻ˣ⁾
where , n---> total number of tossed a coin
x ---> number of times we have succes
Here, n= 10 and x= 10 ,p= 2/5 , q = 3/5
putting all the values in above formula we get,
P(X= 10) = ¹⁰C₁₀(2/5)¹⁰(3/5)⁰
=> P(X= 10) = (2/5)¹⁰ = 0.000104
Hence, the probability we will leave with $20 is 0.000104..
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The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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