If you raised $400,000 in a stock sale and gave up 12% of your company, what was the implied valuation of the company?
Answers
This value is slightly over 3.33 million dollars
=======================================================
Work Shown:
400,000 dollars represents 12% of the company's total value
Let x be that total value
12% of x = 400,000
0.12*x = 400,000
x = (400,000)/(0.12)
x = 3,333,333.33
Don't forget to round to the nearest cent.
the implied valuation of the company will be around 3.33 millions dollar.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, If you raised $400,000 in a stock sale and gave up 12% of your company.
Since,
12% of your company worth = 400,000
So,
1% of your company = 400,000/12
1% of your company = 100,000/3
Thus,
the valuation for the whole company = 100,000/3 * 100
the valuation for the whole company = 33,33,333.33$
Therefore, the implied valuation of the company will be around 3.33 millions dollar.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ6
Related Questions
Write in standard form
Answers
Answer:
The equation was y= -3/4x + 19/4 in slope-intercept form, but it is x + 4/3y= 19/3
Suppose a population has a mean happiness score of 75 and a standard deviation of 15. Researcher A takes a random sample of 100 participants. Researcher B takes a random sample of 25 participants. Which researcher is more likely to get a sample mean of 80 or higher
Answers
Answer:
Researcher A is more likely to get a sample mean of 80 or higher
Step-by-step explanation:
The central limit theorem states that if the sample size increases the sampling distribution of the mean approaches normal distribution.The z score would be given by
z= x`- ux/ (σx/√n)
The sample standard deviation is given by 15 / √25 = 3 and 15 / √100 = 1.5
z=75-ux/3/5
Suppose z= 1.96
1.96 = 75 - ux /0.6
1.176- 75= -ux
ux = 73.824
Now Putting values for the second sample
z=75-ux/1.5/10
Suppose z= 1.96
1.96 = 75 - ux /0.15
0.2904- 75= -ux
ux = 74.706
From the above we see that the larger sample size would give a sample mean equal to the population mean .
Activity
You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two events occur together: E1, in which the card drawn is a black card, and E2, in which the card drawn is a numbered card, 2 through 10.
Question 1
What is the probability of getting a black card and a numbered card? Calculate the probabilities P(E1) and P(E2) as fractions.
Answers
The probability of getting a black card and a numbered card is 9/26.
To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.
There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).
Therefore, the probability of drawing a black card (P(E1)) is:
P(E1) = Number of favorable outcomes / Total number of possible outcomes
P(E1) = 26 / 52
Simplifying this fraction, we get:
P(E1) = 1/2
So the probability of drawing a black card is 1/2.
To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.
Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.
Therefore, the probability of drawing a numbered card (P(E2)) is:
P(E2) = Number of favorable outcomes / Total number of possible outcomes
P(E2) = 36 / 52
Simplifying this fraction, we get:
P(E2) = 9/13
So the probability of drawing a numbered card is 9/13.
To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:
P(E1 ∩ E2) = P(E1) × P(E2)
P(E1 ∩ E2) = (1/2) × (9/13)
Simplifying this fraction, we get:
P(E1 ∩ E2) = 9/26
Therefore, the probability of getting a black card and a numbered card is 9/26.
For such more questions on probability
https://brainly.com/question/25839839
#SPJ8
Given just the graph what 3 steps are required to write the equation of a line?
Answers
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answers
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Which is the best buy? 6 shirts for $25.50 4 shirts for $18.00 5 shirts for $21
Answers
Answer:
5 shirts for $21.
Step-by-step explanation:
(question 15) Find the derivative of the function
using logarithmic differentiation.
Answers
Answer:
\(\textsf{A.} \quad (2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
Step-by-step explanation:
Replace f(x) with y in the given function:
\(y=(x+2)^x\)
Take natural logs of both sides of the equation:
\(\ln y=\ln (x+2)^x\)
\(\textsf{Apply the log power law to the right side of the equation:} \quad \ln a^n=n \ln a\)
\(\ln y=x\ln (x+2)\)
Differentiate using implicit differentiation.
Place d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}\ln y=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
First, use the chain rule to differentiate terms in y only.
In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
Now use the product rule to differentiate the terms in x (the right side of the equation).
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let}\; u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)
\(\textsf{Let}\; v=\ln(x+2) \implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{1}{x+2}\)
Therefore:
\(\begin{aligned}\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&=x\cdot \dfrac{1}{x+2}+\ln(x+2) \cdot 1\\\\\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&= \dfrac{x}{x+2}+\ln(x+2)\end{aligned}\)
Multiply both sides of the equation by y:
\(\dfrac{\text{d}y}{\text{d}x}&=y\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Substitute back in the expression for y:
\(\dfrac{\text{d}y}{\text{d}x}&=(x+2)^x\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Therefore, the differentiated function is:
\(f'(x)=(x+2)^x\left[\dfrac{x}{x+2}+\ln(x+2)\right]\)
\(f'(x)=(2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
5. In the video the speaker explains a way to get the volume is to find the area of the base and then multiply by how the base has been extended, or the height. He gives you some examples and their formulas. State the formulas of the following 3 dimensional shapes with a brief definition of the shape: Ex. Cube: base of a square, with the height the same as the length of one side. If s = length of one side then Volume of a cube = s*s*s or S^3. a. Rectangular Prism = b. Triangular Prism = c. Cylinder = d. Sphere = e. Cone =
Answers
a) Rectangular prism
The volume of rectangular prism = base area x height
= W x L x H
b) Triangular prism
The volume of the triangular prism
\(\begin{gathered} =\text{ Base area x Length} \\ =\text{ }\frac{1}{2}\text{ B x H x L} \end{gathered}\)c) Cylinder
The base area of a cylinder is the area of a circle.
The volume of a cylinder
\(\begin{gathered} =\text{ Base area X height} \\ =\text{ }\pi r^2\text{ x h} \\ =\text{ }\pi r^2h \end{gathered}\)d) Sphere
\(\text{The volume of a sphere = }\frac{4}{3}\text{ }\pi r^3\)e) Cone
The base area of a cone is the area of a circle.
The volume of a cone
\(=\text{ }\frac{1}{3}\pi r^2h\)
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
Answers
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
For more questions on bags
https://brainly.com/question/31835238
#SPJ8
Evaluate the function f(x) = 2x + 8, when x = 5
Answers
Answer:
..............................................
18
1. A ball is launched upward at 14 m/s from a platform that is 30 m high.
a. Find the maximum height the ball reaches.
Answers
Step-by-step explanation:
Initial velocity ,u= 14 m/s
a =_g
= 9.8 m/s
velocity at highest point,v=30 m/ s
=2as=v sqare _u square
=s= 35.99 m
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest and leave it in for 3 months.
Answers
Answer:
$80.54
Step-by-step explanation:
The equation is A = P(1 + rt). You need to solve for A, the amount. P is the intial amount. r is the interest rate. t is the time in years. Convert 3 months into 3/12 years. Now plug in each of the numbers and solve.
I Could Use Some Help...WRLD...999
Simplify the expression. –3x(4–5x) + (3x + 4)(2x – 7)
Answers
Answer:
21x^2 - 25x - 28
Step-by-step explanation:
= -3x (4 - 5x) + (3x + 4)(2x - 7)
= -12x + 15x^2 + 6x^2 - 21x + 8x - 28
= 21x^2 - 25x - 28
I hope my answer helps you.
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
Answers
Answer:
3
Step-by-step explanation:
A cube will have six sides, therefore the numbers would run from 1 to 6 on a cube. There are only 3 numbers after 3 up until 6. So it is 3.
The total number of possible outcomes for the probability is P = 24 outcomes
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Rolling a cube: A standard six-sided cube has numbers 1 through 6. However, we are only interested in outcomes where the number on the cube is greater than 3.
So there are only 3 possible outcomes: 4, 5, or 6.
Spinning a spinner: The number of possible outcomes on a spinner depends on the specific spinner being used. Now , the spinner has 4 equally likely outcomes: A, B, C, and D.
Flipping a coin: A standard coin has 2 sides: heads (H) and tails (T). So there are 2 possible outcomes.
Multiplying the number of outcomes for each event, we get:
Number of outcomes for rolling a cube: 3
Number of outcomes for spinning a spinner: 4
Number of outcomes for flipping a coin: 2
Total number of possible outcomes: 3 x 4 x 2 = 16
Hence , there are 24 unique outcomes possible where the number on the cube is greater than 3
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ3
The complete question is attached below :
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used
Answers
Answer:
a) $141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b) $244.4
Step-by-step explanation:
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
If a customer uses 330 minutes, the monthly cost will be $141.5.
y = mx + b
$141.5 = 330m + b
If the customer uses 890 minutes, the monthly cost will be $337.5.
$337.5 = 890m + b
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b. Use your equation to find the total monthly cost if 624 minutes are used
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
We Subtract Equation 2 from 1
-196 = -560m
m = -196/-560
m = 0.35
$337.5 = 890m + b..... Equation 2
$337.5 = 890 × 0.35 + b
$337.5 - 311.5 = b
b = 26
When x = 624
y = 624× m + b
m = 0.35 , b = 26
y = 624 × 0.35 + 26
y = 218.4 + 26
y = $ 244.4
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answers
Answer:
57,000
Step-by-step explanation:
(2375*2)*12
not sure what semi monthly is but i assume it’s 2 times every month, times 12 months in a year, boom
What is the product of 1.45 and 0.34 rounded off to one decimal place
Answers
Answer: 0.5
Step-by-step explanation:
1.45*0.34 = 0.493
Rounded to the tenth place is 0.5
5/8 of the pens in a box are blue pens. 4/5 of the remaining are red pens.what fraction of the pens are red ?
Answers
Step by step
If 5/8 are blue, 3/8 are remaining.
It says 4/5 of the remaining (3/8) are red.
4/5 x 3/8 = red pens
Cross multiply
12/40
Simplify to 3/10
A hiker starts at an elevation of 420 yards below sea level descends 1,400 yards and
before ascending for 4,600 yards. What is the elevation at the end of the hike?
Answers
Step by step:
420-1,400=-980
-980+4,600=3,620
Natasha's bedroom has an area of 54 square feet. The bedroom is 6 times as many square feet
as Natasha's closet. If the closet is 3 feet wide, what is the length of the closet? *)
First find the area of the closet.
Solve on paper and check you answer on Zearn, 4)
The area of the closet is square ft.
Answers
Answer:
Area of closet: 9 square ft; length of closet: 3 ft
Step-by-step explanation:
If the bedroom is 6 times as many square feet as Natasha's closet, and the bedroom is 54 square feet, then the area of the closet would be:
54 ÷ 6 = 9 square ft
The area of the closet is length × width, and you already know the width, so the length of the closet is:
9 ÷ 3 = 3 ft
Solve for x. Would appreciate the help thanks
Answers
The value of x in the triangles is 24.5
How to determine the value of x?From the question, we have the following parameters that can be used in our computation:
The triangle
On the triangle, we have the following ratio
7 + x : x = 27 : 27 - 6
Evaluate the difference
7 + x : x = 27 : 21
Express as fraction
This gives
x/(x + 7) =21/27
So, we have
27x = 21(x + 7)
Expand
27x - 21x = 147
So, we have
6x = 147
Evaluate
x = 24.5
Hence, the value of x is 24.5
Read more about similar triangles at
https://brainly.com/question/14285697
#SPJ1
3 pens cost $2.70.
What is the cost per pen?
Answers
Answer:
$0.90
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
Assuming there are no taxes or additional costs, one simply has to divide the total cost by the amount purchased to find the unit price, hence;
2.7 / 3
= 0.9
Find the number of 3-card hands that contain the cars specified. NO LINKS!! NOT MULTIPLE CHOICE!!!
5. 3 red cards
6. 3 aces
7. 3 face cards
8. 3 hearts
9. 3 of one kind
Answers
Answer:
Step-by-step explanation:
5.
26 red cards in a 52-card deck so 3 red cards combo = 26*25*24 = 15600
6.
4 aces in a deck so 3 aces = 4*3*2 = 24
7.
12 face cards in a deck so 3 face cards = 12*11*10 = 1320
8.
13 hearts in a deck so 3 hearts = 13*12*11 = 1716
9.
4 kinds in a deck: spade, heart, diamond and club so 3 of one kind = 4*1716
= 6864
Answer:
Step-by-step explanation:
5. half deck are red; 2nd card is 1 less n 3rd card 2 less: 26x25x24 = 15600
6. 4 aces total: 4x3x2 = 24
7. 3 face cards per suit; 12 total: 12*11*10 = 1320
8. 13 heart cards: 13x12x11 = 1716
9. 4 suits: 1716x4 = 6864
At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3
Answers
Answer:
0.0018
Step-by-step explanation:
P(z>2.88)=1-0.9980= 0.0018
Help me with this question no explanation needed or just give it to me
Answers
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
An 18 foot long ramp is placed at a loading dock that is 5 feet above ground. How far is the bottom of the ramp from the dock?
Answers
Answer:
sqrt299
Step-by-step explanation:
Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :
a=5
b= ?
c=18
(Then we can move all of the numbers together but what you do to one side you must do to the other)
Therefore,
(Now to make b a single variable we must square root both sides)
Therefore,
Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue
Where and
(approximately)
please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle
Answers
Answer: Area 6 Perimeter 12
Step-by-step explanation:
First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6
Answer:
The answer for P=12cm,A=6cm²
Step-by-step explanation:
Perimeter of triangle=a+b+c
P=5+3+4
P=12cm
Area of triangle =1/2bh
A=1/2×3×4
A=2×3
A=6cm²
2x - 6(x-3) ≥ 5
solve for x.
Answers
Answer:
It’s siu
Step-by-step explanation:
Answer:x≤4.6
Step-by-step explanation: 2x-6(x-3)≥5. 1).combine the like terms. 2x+x=3x & -6+-3=-9. 2). isolate the "x". 3x-9≥5. 3x≥14. 3). divide both sides by your coefficient. 3x≥14/ 3
x≥4.6
4) flip your sign. x≤4.6
Let i be the imaginary number √-1. Determine whether the expression a+bi, where a and b are real numbers, represents a real number or a non-real complex number for each case below. Select Real Number or Non-Real Complex number for each case.
Answers
Case 1: a = 0; b = 0 --> Real Number
Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number
Case 3: a ≠ 0; b = 0 --> Real Number
Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number
Understanding Complex NumberFor each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.
Case 1: a = 0; b = 0
In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.
Case 2: a = 0; b ≠ 0
Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.
Case 3: a ≠ 0; b = 0
In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.
Case 4: a ≠ 0; b ≠ 0
Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.
Learn more about complex number here:
https://brainly.com/question/5564133
#SPJ1
tank with 43.2kg of water is leaking at a rate of 0.0135 kg/s. How many will it take until the tank is completely empty
Answers
The time taken for the water tank to empty completely is 3200 s.
The given parameters:
Mass of the water, m = 43.2 kgMass flow rate of the water, Q = 0.0135 kg/sWhat is mass flow rate?Mass flow rate is the rate at which the mass of a known substance discharges over a given period of time.The time taken for the water tank to empty completely is calculated as follows;
\(t = \frac{m}{Q} \\\\t = \frac{43.2 \ kg}{0.0135 \ kg/s} \\\\t = 3200 \ s\)
Thus, the time taken for the water tank to empty completely is 3200 s.
Learn more about mass flow rate here: https://brainly.com/question/24356835