If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?
Answers
Answer:
x = 7
AC = 44
Step-by-step explanation:
Find the diagram attached
According to the parallelogram,
BD = 2BE
5x-3 = 2(2x+2)
5x-3 = 4x+4
5x-4x = 4+3
x = 7
Hence the value of x is 7
Also AC = 2AE
AC = 2(4x-6)
AC = 8x - 12
AC = 8(7) - 12
AC= 56-12
AC = 44
Hence the measure of AC is 44
Related Questions
What is the equation in standard form?
Answers
Answer:
just cause
Step-by-step explanation:
Slope:
8
y-intercept:
2
PLSS HELP WITH NUMBER 6
Answers
Answer: 100oz=6.25 lb
Step-by-step explanation:
| k - 5 |= | k +9 |
Solve for k
Absolute value equation plz put how you solved it Bcs I don’t understand
Answers
ANSWER
(k-5)=(k+5)k-k=(+5-5)-k=10Step-by-step explanation:
therefore -k=10where do i put it? i dont remember how to do this
Answers
Answer:
y>=14
Step-by-step explanation:
y is the age, and you must be older than or as old as 14.
Of the 300 students at Central Middle School, 20% are on the honor roll.
How many students are NOT on the honor roll?
Answers
Explanation:
For this problem, we know that there are 300 students at this school so we can say that is 100%. Since we know 20% are on the honor roll, then (100% - 20% = )80% are not. Given this, we can say the following:
#ofStudentsNotOnHonorRoll = #ofStudents * %notOnHonorRoll
= 300 * 80%
= 300 * .8
= 240
Hope this helps.
Cheers
13−4 / 27−24 its to short again hi
Answers
Answer:
-301/27
Step-by-step explanation:
If you roll two fair six-sided dice, what is the probability that the dice show the same number
Answers
Answer:
6/36
Step-by-step explanation:
Trust me I got it right on Khan academy :)
Answer:
6/36
Step-by-step explanation:
I got it right too on khan academy
The ratio of a model car to a regular car is 1:16. The model is 2:35 inches long. What is the length of the actual car in feet and inches?
Answers
Answer:
27.26
Step-by-step explanation:
Complete the square
x^2 - 2x - 14 = 0
Answers
To complete the square for the equation x^2 - 2x - 14 = 0, follow these steps:
1. Move the constant term to the right side of the equation: x^2 - 2x = 14
2. Take half of the coefficient of x, square it, and add it to both sides of the equation: x^2 - 2x + 1 = 15
3. Factor the left side of the equation as a perfect square: (x - 1)^2 = 15
4. Take the square root of both sides of the equation, remembering to include both the positive and negative square roots: x - 1 = ±√15
5. Add 1 to both sides of the equation to isolate x: x = 1 ± √15
Therefore, the solutions to the equation x^2 - 2x - 14 = 0 are x = 1 + √15 and x = 1 - √15.
Please help.
Find the volume of the rectangular prism. Pls no links!
Answers
Answer:
120 in ³
Step-by-step explanation:
Volume is
Length x width x height
4x10x3=120
this week Rajiv's puppy weighs 8 kilograms. Last week the puppy weighed 6.5 kilograms how much mass in grams did the puppy gains
Answers
Answer:
1,500 G
Step-by-step explanation:
1 Kilogram (Kg) = 1,000 Grams (G)
8-6.5= 1.5
1.5x1,000=1,500
Mr. Kelly has 50 coins, all of which are either nickels or dimes. They have a
value of $3.85. Set up a system of equations to find out how many of each coin
Mr. Kelly has.
Answers
So i think its $4.35.
Step-by-step explanation:
I did addition to find out this answer my calculations seem to be correct.
$3.85 + 50 cents = 4 dollars and 35 cents
Which option is not an allowable tax deduction
Answers
From tax perspective, the gift tax deduction is not an allowable deduction for a charitable contribution. The Option D.
Which of the following is not an allowable deduction?
When making charitable contributions, individuals may be eligible for certain tax deductions. These deductions can help reduce taxable income and potentially lower the overall tax liability.
Generally, contributions made to qualifying charitable organizations can be deductible for income tax purposes. The estate tax deductions and generation-skipping tax deductions may be available for certain charitable transfers.
Full question:
From a tax perspective, which of the following is not an allowable deduction for a charitable contribution?
a. Income tax deduction.
b. Estate tax deduction.
c. Generation-skipping tax deduction.
d. Gift tax deduction.
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-9+n/4=-7 x
Please help....
Answers
What 1+1 help i'll give 15 points
Answers
Answer:
11
Step-by-step explanation:
am so smart
The linear model P = 3.75g + 1.5 predicts the total cost , P, in dollars, to purchase g gallons of gas at a gas station.Based on the linear model, how much should it cost to purchase 12 gallons of gas
Answers
Answer:
It would cost $46.50 to buy 12 gallons of gas.
Step-by-step explanation:
1. Replace the variables in \(P = 3.75g + 1.5\) with the values you know:
\(P = 3.75g + 1.5, \text{ where } g =12\\P=3.75(12)+1.5\)
2. Solve for P:
\(P=3.75(12)+1.5\\P=45+1.5\\P=46.5\)
the first three terms of a sequence are given. round to the nearest thousandth (if necessary). 156,153,150,...156,153,150,... find the 46th term.find the 46th term.
Answers
The first term of the sequence is 156. Then the 46th term of the sequence is 156.
What are sequence and series?
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. In mathematics, a series can be generally described as the sum of an infinite sequence of values.
Given
The first three terms of a sequence are shown.
156,153,150 and so on.
The given sequence is repeating every three terms, and the repeating terms are 156, 153, 150.
So, to find the 46th term, we need to determine which set of repeating terms it belongs to.
Dividing 46 by 3 gives us a quotient of 15 with a remainder of 1, meaning the 46th term belongs to the 16th set of repeating terms and will be the first term in that set, which is 156.
So, the 46th term of the sequence is 156.
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The first term of the sequence is 156. Then the 46th term of the sequence is 156.
What are sequence and series?
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. In mathematics, a series can be generally described as the sum of an infinite sequence of values.
Given
The first three terms of a sequence are shown.
156,153,150 and so on.
The given sequence is repeating every three terms, and the repeating terms are 156, 153, 150.
So, to find the 46th term, we need to determine which set of repeating terms it belongs to.
Dividing 46 by 3 gives us a quotient of 15 with a remainder of 1, meaning the 46th term belongs to the 16th set of repeating terms and will be the first term in that set, which is 156.
So, the 46th term of the sequence is 156.
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(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
Answers
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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What is the yield on a corporate bond with a $1000
face value purchased at a discount price of $925, if
it pays 8% fixed interest for the duration of the
bond?
yield = [?] %
Give your answer as a percent rounded to the nearest
hundredth.
Answers
The yield on the corporate bond is 8.65%.
What is the yield on the corporate bond?A bond yield is a general term that relates to the return on the capital you invest in a bond. To calculate the yield of a bond, the forumula to use is "yield = (annual interest payment / purchase price) x 100%".
Data:
Face value of the bond is $1000
Fixed interest rate is 8%.
Annual interest payment = 8% x $1000
Annual interest payment = $80
The purchase price is $925.
We can substitute these values to find the yield:
= ($80 / $925) x 100%
= 0.0864864865 * 100%
= 8.65%
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The number of fish caught on a fishing trip varies directly as the number of boats that are fishing. There are 800 fish caught when 16 boats are fishing. How many fish will be caught if 6 boats are fishing? 300
Answers
Answer:
300 fish
Step-by-step explanation:
First you divide the 800 by 16 then you get 50
Next you multiply the 50 by 6
Finally you get the answer 300 fish
lect all that apply which of the following statements describe the poisson distribution? select all that apply multiple select question. the probability of the event is proportional to the interval size. the probability of an individual event occurring is quite large. the intervals do not overlap and are independent. the random variable is the number of occurrences during an interval.
Answers
The Poisson distribution is a probability distribution that describes the number of independent occurrences of an event in a fixed interval of time or space.
In this case, the random variable is the number of occurrences during an interval. Therefore, the statement "the random variable is the number of occurrences during an interval" applies to the Poisson distribution. Another statement that applies to the Poisson distribution is "the probability of the event is proportional to the interval size". This means that the probability of observing k events in a fixed interval is proportional to the length of the interval. However, the statement "the probability of an individual event occurring is quite large" does not describe the Poisson distribution. In fact, the Poisson distribution assumes that the probability of an individual event occurring is small, but the number of events is large. Finally, the statement "the intervals do not overlap and are independent" is not a defining characteristic of the Poisson distribution, although it is often assumed in practical applications. In summary, the Poisson distribution is a probability distribution that models the number of independent occurrences of an event in a fixed interval. The probability of the event is proportional to the interval size, and the random variable is the number of occurrences during an interval.
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Help with question 2 please
Answers
Answer:
i believe the answer is either b or d
Step-by-step explanation:
show that the bisectors of angles of a parallelogram form a rectangle.
Answers
Answer:
LMNO is a parallelogram in which bisectors of the angles L, M, N, and O intersect at P, Q, R, and S to form the quadrilateral PQRS. Hence the angle bisectors of a parallelogram form a rectangle as all the angles are right angles; we conclude that it IS RECTANGLE. Hence proved.
Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?
Answers
Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
\(Tickets=800\)
\(Value = \$2\) per ticket
\(Grand\ Prize = \$450\) ---- for 1
\(Consolation = \$100\) --- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
\(Amount = Tickets * Value\)
\(A_1 = 800 * \$2\)
\(A_1 = \$1600\)
Next, calculate the total amount of the prizes
\(Amount = Tickets * Value\)
\(A_2 = \$450 * 1 +\$100 * 2\)
\(A_2 = \$450 +\$200\)
\(A_2 = \$650\)
The expected value E(x) of 1 ticket is calculated as:
\(E(x) = \frac{A_2}{A_1}\)
\(E(x) = \frac{\$650}{\$1600}\)
\(E(x) = \$0.40625\)
Solving (b): Raffle 2
Given
\(Tickets=350\)
\(Value = \$2\) per ticket
\(Grand\ Prize = \$150\) ---- for 1
\(Consolation = \$50\) --- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
\(Amount = Tickets * Value\)
\(A_1 = 350 * \$2\)
\(A_1 = \$700\)
Next, calculate the total amount of the prizes
\(Amount = Tickets * Value\)
\(A_2 = \$150 * 1 +\$50 * 3\)
\(A_2 = \$150 +\$150\)
\(A_2 = \$300\)
The expected value E(x) of 1 ticket is calculated as:
\(E(x) = \frac{A_2}{A_1}\)
\(E(x) = \frac{\$300}{\$700}\)
\(E(x) = \$0.4286\)
Question
Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram.
Answers
The area of the new parallelogram is A = n²bh
How to determine the area of the parallelogram?From the question, we have the following parameters that can be used in our computation:
b = base of the original parallelogram.
h = height of the original parallelogram.
n = Factor of the products
The area of a parallelogram from the base and the height is calculated as
A = bh
In this case, we have
Each dimension of a parallelogram is multiplied by a positive number n.
This means that
Base = bn
Height = hn
So, we have
Area = bn * hn
Evaluate
A = n²bh
Hence, the area expression is A = n²bh
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volume of cone with radius of 6 and heights of 8
Answers
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
The base of a cone is a circle. To find the area of a circle, we square the radius and then multiply it by pi (we will use 3.14). Let's find the base below.
6²=36
36×3.14=113.04
Now, we multiply by the height.
113.04×8=904.32
Finally, we divide by three.
904.32÷3=301.44
Therefore, the volume of this cone is about 301.44 units cubed.
Now you can find the area of cones! I hope that this helps! Have a wonderful day!
Answer:
301.44
Step-by-step explanation:
What is the line of x =- 2?.
Answers
Precalculus is an example here, since x=−2 is a vertical type line, there is no y-intercept as well as the slope is undefined.
The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.
A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.
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What is 6,248 rounded to the nearest ten
Answers
Answer:
6250
Step-by-step explanation:
Hope This Helps :D
Have a Great Day!
Answer:
6248 rounded to the nearest tenth is 6250
Complete the following:
Multiply these numbers the quickest and easiest way possible: 87 x 5 x 2
Explain how you were able to quickly determine the product. Justify your reasoning using a property of multiplication.
Answers
Determine what type of model best fits the given situation: a retirement account is expected to grow by 15% each year.
Answers
The situation described, where a retirement account is expected to grow by 15% each year, suggests a model known as exponential growth.
Exponential growth occurs when a quantity increases or decreases at a constant percentage rate over a given period. In this case, the retirement account is projected to grow by 15% annually, indicating a consistent rate of growth. Exponential growth models are commonly used in situations where there is compounding or continuous growth. They are characterized by a fixed growth rate that is applied to the initial amount or value.
In the context of the retirement account, the 15% growth rate represents a compound interest scenario, where the account balance increases by 15% of its current value each year. To analyze the account's growth over time, the exponential growth model can be used to calculate the future value of the retirement account based on the initial balance and the growth rate. The formula for exponential growth is given by: Future Value = Present Value * (1 + Growth Rate)^n
Where "Present Value" represents the initial balance, "Growth Rate" is the percentage increase, and "n" represents the number of years. By applying this formula, one can estimate the future value of the retirement account as it grows over time with a 15% annual increase.
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