Answer: 30
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)
125.7 (5) = 628.5 in2
Finally we have to divide that result by the area that each handful of cheese covers (21 in2)
628.5 / 21 = 29.92 = 30 handful of cheese
Feel free to ask for more if needed or if you did not understand something.
Answer:
30
Step-by-step explanation:
Consider the game below. Select all the strategy profiles that are Pareto-efficient. (B,D) (B,C) (A,D) \( (A, C) \)
The Pareto-efficient strategy profiles in the given game are (B,C) and (A,D).
Pareto efficiency is a concept in game theory that refers to a state where no player can be made better off without making at least one other player worse off. In other words, it represents an allocation of resources or strategies where it is impossible to improve the situation for one player without harming another.
In the given game, the strategy profiles (B,C) and (A,D) are Pareto-efficient. Let's examine each of them individually:
1. Strategy profile (B,C): In this profile, Player A chooses strategy B while Player B chooses strategy C. This profile is Pareto-efficient because if we were to change the strategy of one player, it would result in a worse outcome for the other player. Player A cannot be made better off without making Player B worse off, and vice versa.
2. Strategy profile (A,D): In this profile, Player A chooses strategy A while Player B chooses strategy D. Similar to the previous case, this profile is also Pareto-efficient. Any alteration in the strategies of the players would lead to a less favorable outcome for at least one of the players.
The remaining strategy profiles, (B,D) and (A,C), are not Pareto-efficient. For instance, in the profile (B,D), if Player A were to switch to strategy A, both players would benefit without harming the other. Hence, (B,D) is not Pareto-efficient.
In summary, the strategy profiles (B,C) and (A,D) are Pareto-efficient because any change in the strategies of the players would result in a worse outcome for at least one player. This demonstrates the concept of Pareto efficiency in the given game.
Learn more about Pareto-efficient
https://brainly.com/question/33492504
#SPJ11
In a recent international sports competition the top three countries- country a country b and country c won a total of 123 medals. country b won 8 more medals than country c. country a won 39 more medals than the total won by country b and c. how many medals did each country win?
country A won medal = 87
country B won medal = 18
country C won medal = 26
What is System of equation?A system of equations, or equation system, is a collection of finite equations for which common solutions are sought. A set of simultaneous equations may also be referred to as an equation system.
According to the given information:While using the System of equation:
we can say that:
country A won medal = X
country B won medal = Y
country C won medal = Z
Total number of medals have = 123
so we can say that
X + Y + Z = 123
Country B won 8 more medals than Country C.
So Y = Z + 8
Country A won 34 more medals than the total amount won by the other two.
X - (Y + Z) = 34
From the equation
(Y + Z) = 123 - X
Putting the value (Y + Z)
X - (123 - X) = 34
2X - 123 = 34
2X = 157
X = 157/2
X = 78.5
Finding the value of Z.
when X = 78.5, Y = Z + 8
X + Y + Z = 123
78.5 + (Z + 8) = 123
86.5 + 2Z = 123
Z = 36.5/2
Z = 18
Finding the value of Y
Y = Z + 8
= 18 + 8
= 26
So,
country A won medal = 87
country B won medal = 18
country C won medal = 26
To know more about System of equation visit:
https://brainly.com/question/12895249
#SPJ4
1. The memory card on Melcher’s digital camera can hold about 430 pictures. Melcher used 18% of the memory card while taking pictures at a family reunion. About how many pictures did Melcher take at the family reunion? Round to the nearest whole number.????
2. What number is 3% of 100?
3. 55 is 40% of what number?
4. 14% of 81 is what number
5. $4 is what percent of $50?
brainless whoever gets this right + 100 points show your work and u also get a brainless by doing that too
The slope of this line is 8 and it goes through the point (-4, 4)
What is the Equation of the Line?
pls i really need help
Answer:
y = 8x + 36
Step-by-step explanation:
(y-4) / (x - -4) = 8
y - 4 = 8x + 32
y = 8x + 36
An annual salary is $45000. His tax free allowances total $13000. He has to pay a tax of 20% on his taxable income.
The tax payable is?
Answer:
6400
Step-by-step explanation:
Taxable amount=45000-13000=32000
tax=32000*20/100
=6400
How do the measures of the angles of polygon ABCD compare with those of the translated images? Based on your observation, what can you conclude about preservation of angle measurements during a translation?
Answer: the measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. this means that the angles of the polygon are preserved as the figure is translated in any direction
Answer:
The opposite sides of quadrilateral ABCD have equal slopes, which means the opposite sides are parallel. Therefore, by definition, quadrilateral ABCD is a parallelogram.
Plato
Find the phasors of the time domain waveforms given in (a) and (b) and the time domain waveforms for the phasors given in (c), (d), and (e):
(a) $f_1(t)=5 \sin \left(\frac{\pi}{4}-\omega t\right)$
(b) $f_2(t)=\cos \left(\omega t+\frac{\pi}{4}\right)-2 \sin \left(\omega t+\frac{\pi}{3}\right)$
(c) $\widetilde{F_3}=2-2 j$
(d) $\tilde{F}_4=2 e^{3-4 j}$
(e) $\widetilde{F_5}(x)=(1+j) e^{-2 j x}$
(a) The phasor representation of F₁(t) is:
F₁ = (5/√2) - j(5/√2)
(b) The phasor representation of F₂(t) is:
F₂ = (√2/2 - 1) - j(√2/2 + √3 + 1)
(c) The time domain waveform for F₃ is: F₃(t) = 2cos(ωt) + 2sin(ωt)
(d) The time domain waveform for F₄ is: F₄(t) = 2\(e^{(3+j(\omega\ t-4))\)
(e) The time domain waveform for F₅(x) is: F₅(x) = Re{((1+j)\(e^{(j(\omega\x-2))\))}
To find the phasors of the given time domain waveforms and the time domain waveforms for the given phasors, we need to convert between the two representations using Euler's formula and basic trigonometric identities.
(a) For the waveform F₁(t) = 5sin(π/4 - ωt):
To find the phasor, we can express it in complex form as follows:
F₁(t) = 5sin(π/4)cos(ωt) - 5cos(π/4)sin(ωt)
= (5/√2)cos(ωt) - (5/√2)sin(ωt)
The phasor representation of F₁(t) is:
F₁ = (5/√2) - j(5/√2)
(b) For the waveform f₂(t) = cos(ωt + π/4) - 2sin(ωt + π/3):
Using trigonometric identities, we can rewrite f₂(t) as:
f₂(t) = cos(π/4)cos(ωt) - sin(π/4)sin(ωt) - 2sin(π/3)cos(ωt) - 2cos(π/3)sin(ωt)
= (√2/2)cos(ωt) - (√2/2)sin(ωt) - √3sin(ωt) - sin(ωt)
Combining like terms, we have:
f₂(t) = (√2/2 - 1)cos(ωt) - (√2/2 + √3 + 1)sin(ωt)
The phasor representation of f₂(t) is:
F₂ = (√2/2 - 1) - j(√2/2 + √3 + 1)
(c) Given the phasor F₃ = 2 - 2j, we can convert it to the time domain waveform:
F₃(t) = Re{F₃ * \(e^{(j\omega\ t)\)}
= Re{(2 - 2j) * \(e^{(j\omega\ t)\)}
= 2cos(ωt) + 2sin(ωt)
The time domain waveform for F₃ is: F₃(t) = 2cos(ωt) + 2sin(ωt)
(d) Given the phasor F₄ = 2\(e^{(3-4j)\), we can convert it to the time domain waveform:
F₄(t) = Re{F₄ * \(e^{(j\omega\ t)\)}
= Re{(2\(e^{(3-4j)\)) * \(e^{(j\omega\ t)\)}
= 2\(e^{(3-4j+j\omega\ t)\)
The time domain waveform for F₄ is: F₄(t) = \(e^{(3+j(\omega\ t-4))\)
(e) Given the phasor F₅(x) = (1+j)\(e^{(-2jx)\), we can convert it to the time domain waveform:
F₅(x) = Re{F₅ * \(e^{(j\omega\ x)\)}
= Re{((1+j)\(e^{(-2j)\)) * \(e^{(j\omega\ x)\)}
= (1+j)\(e^{(-2j+jωx)\)
The time domain waveform for F₅(x) is: F₅(x) = Re{((1+j)\(e^{(j(\omega\ x-2))\))}
Learn more about Euler's Formula at
brainly.com/question/12274716
#SPJ4
Feature_chess-1
You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.
We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.
Brief Overview of the ACT Math Section
Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.
The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”
The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.
(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)
All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.
But First: Should You Be Focusing on the Hardest Math Questions Right Now?
If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.
Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.
If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.
Answer:
afjhs
Step-by-step explanation:
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?
A. Write the two equations.
B Solve the equations and give both answers.
Answer:
Aunt drove 4 hours
Uncle drove 6 hours.
Step-by-step explanation:
Equations:
580 = 55/x + 60/y
600 = 55x + 60y
Happy Holidays!
Determine whether the triangle with the given side lengths is acute, right, obtuse, or not a triangle 6, 12, 19
A) Acute
B) Right
C) Not a triangle
D) Obtuse
The triangle with sides of a triangle 6, 12, 19 is,
⇒ Acute triangle.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Sides of a triangle are,
⇒ 6, 12, 19
Now, We know that;
If three sides of a triangle are a, b and c.
Hence,
If a² + b² = c², it is right triangle.
If a² + b² > c², it is obtuse triangle,
If a² + b² < c², it is acute tringle.
Here, Sides of a triangle are,
⇒ 6, 12, 19
Hence,
⇒ 6² + 12²
⇒ 36 + 144
⇒ 180
⇒ 19² = 361
Thus,
⇒ 6² + 12² < 19²
Hence, It is Acute triangle.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ3
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
Learn more about allele frequency here
https://brainly.com/question/6139888
#SPJ4
please explain and give answer
Angle 1=87°
Angle 2=88°
angle 1+2= 177
Step-by-step explanation:
I believe thsi should be right,
So angle 1 and 87° are the same because of some rule, then the angle above 2 would be 92 because of the same rule and its a straight line so 180-92=88 making angle 2, 88. When you add those it would be 177. Try that
What is the slope of the line? Hint: Note the scales for the x and y axis.
What is the y - intercept of the line?
What is the equation of the line? y = x +
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.
Answer:
y = (-1 visit/block)x + 9 visits
6 visits
Step-by-step explanation:
The y-intercept is 9 (meaning 9 visits per week).
Note that (1, 8) is a point on the line.
To find the equation of this line, start with the slope-intercept form y = mx + b. We know that when x = 1, y = 8 and that the y-intercept, b, is 9. Therefore:
8 = m(1) + 9.
Solve this by subtracting 9 from both sides. We get:
-1 = m
The slope is m = -1 visits/block
and the desired equation is y = (-1 visit/block)x + 9 visits
If a particular coffee shop is 3 blocks away, we predict that the number of visits per week made to this shop is y = -1(3) + 9, or 6 visits
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
Find a value of the standard normal random variable z, call it zo, such that the following probabilities are satisfied.
a. P(z≤zo)=0.0573
b. P(-zo sz≤zo)=0.95
c. P(-zo szszo)=0.99
d. P(-zo sz≤zo)=0.8326
e. P(-zo sz50)=0.3258
f. P(-3
g. P(z>zo)=0.5
h. P(zzo) 0.0093
a. Zo =
(Round to two decimal places as needed.)
Looking up the value closest to 0.0573 in the standard normal distribution table, we find that zo is approximately -1.83.Therefore, Zo ≈ -1.83.
To find the value of zo that satisfies the given probabilities, we need to refer to the standard normal distribution table or use a statistical calculator. Here are the solutions for each probability:
a. P(z ≤ zo) = 0.0573
Looking up the value closest to 0.0573 in the standard normal distribution table, we find that zo is approximately -1.83.
Therefore, Zo ≈ -1.83.
Please note that the values are rounded to two decimal places as requested.
To know more about probability click-
http://brainly.com/question/24756209
#SPJ11
The normal distribution is used in the problem for this question.The mean (μ) is 0, and the standard deviation (σ) is 1.Using a normal distribution calculator, the probabilities can be calculated as follows:a. P(z ≤ zo) = 0.0573Zo = -1.75b. P(-zo < z < zo) = 0.95
The area to the right of zo is 0.025, and the area to the left of -zo is 0.025. Zo can be found using the normal distribution table.Zo = 1.96c. P(-zo < z < zo) = 0.99The area to the right of zo is 0.005, and the area to the left of -zo is 0.005. Zo can be found using the normal distribution table.Zo = 2.58d. P(-zo < z < zo) = 0.8326The area to the right of zo is 0.084, and the area to the left of -zo is 0.084. Zo can be found using the normal distribution table.Zo = 1.01e. P(-zo < z < 50) = 0.3258The area to the right of 50 is 0.5 - 0.3258 = 0.1742. The area to the left of -zo can be found using the normal distribution table.-Zo = 1.06f. P(-3 < z < 2) = 0.975 - 0.00135The area to the right of 2 is 0.0228, and the area to the left of -3 is 0.00135. Zo can be found using the normal distribution table.-Zo = 2.87g. P(z > zo) = 0.5The area to the left of zo is 0.5. Zo can be found using the normal distribution table.Zo = 0h. P(zzo) = 0.0093The area to the right of zo is 0.00465. Zo can be found using the normal distribution table.Zo = 2.42a. Zo = -1.75 (rounded to two decimal places)
To know more about normal distribution, visit:
https://brainly.com/question/15103234
#SPJ11
How many solutions are there to this nonlinear system
Answer:
well its two
Step-by-step explanation:
but A nonlinear system could be representative of two circles that overlap and intersect in two locations, hence two solutions. A nonlinear system could be representative of a parabola and a circle, where the vertex of the parabola meets the circle and the branches also intersect the circle, hence three solutions.
sierra is constructing an inscribed square. keaton is constructing an inscribed regular hexagon. in your own words, describe one difference between sierra's construction steps and keaton's construction steps
Sierra and Keaton are both engaged in constructing inscribed shapes, but there is a notable difference in their construction steps. Sierra is constructing an inscribed square, while Keaton is constructing an inscribed regular hexagon.
In Sierra's construction, she begins by drawing a circle and then proceeds to find the center of the circle.
From the center, Sierra marks two points on the circumference, which serve as opposite corners of the square.
Next, she draws lines connecting these points to create the square, ensuring that the lines intersect at right angles.
On the other hand, Keaton's construction of an inscribed regular hexagon follows a distinct procedure.
He starts by drawing a circle and locating its center. Keaton then marks six equally spaced points along the circumference of the circle.
These points will be the vertices of the hexagon.
Finally, he connects these points with straight lines to form the regular hexagon inscribed within the circle.
Thus, the key difference lies in the number of sides and the specific geometric arrangement of the vertices in the shapes they construct.
For more such questions on inscribed shapes
https://brainly.com/question/15623083
#SPJ8
the value of a car is $20,000. it loses 10.3% of its value each year. write an exponential function to determine the value of the car in t years.
To model the decrease in the value of the car over time, we can use an exponential function of the form:
V(t) = V(0) * e^(-rt)
where:
V(0) is the initial value of the car (in this case, $20,000).
r is the annual rate of depreciation, expressed as a decimal (in this case, 0.103).
t is the number of years since the car was purchased.
Plugging in the given values, we get:
V(t) = $20,000 * e^(-0.103t)
This is the exponential function that models the value of the car in t years.
Learn more about exponential function, here:
brainly.com/question/30493708
#SPJ11
the ratio of males to females in the middle school is 6:8 if there are 126 male students, how many female students are there?
Answer:
168 girls
Step-by-step explanation:
126 boys and 168 girls.
126 is the number of how many male students there are meaning the amount of females should be above 126
Plot three points on the graph of function f
A region is prone to flooding once every 20 years. If the probability of flooding in that region any one year is >o. What is the probabilit, of not flooding the next year
The probability of the region not flooding the next year is 19/20.
Given that a region is prone to flooding once every 20 years, we can calculate the probability of flooding in any one year as:
Probability of flooding in any one year = 1/20 = 0.05
Since the probability of flooding in any one year is greater than 0, the probability of not flooding in any one year would be:
Probability of not flooding in any one year = 1 - 0.05 = 0.95
Therefore, the probability of not flooding the next year in this region would be 0.95 or 95%.
Hi, I'd be happy to help you with your probability question.
The probability of flooding in the region any one year is 1/20 (once every 20 years). To find the probability of not flooding the next year, we need to find the complement of the probability of flooding.
Step 1: Determine the probability of flooding.
P(Flooding) = 1/20
Step 2: Find the complement probability.
P(Not Flooding) = 1 - P(Flooding)
Step 3: Calculate the probability of not flooding.
P(Not Flooding) = 1 - (1/20) = 19/20
The probability of the region not flooding the next year is 19/20.
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ11
We can approach this problem using the concept of probability and complement rule.
Given that a region is prone to flooding once every 20 years, we can assume that the probability of flooding in any given year is 1/20 or 0.05 (since once in 20 years means once in 20 trials, and the probability of success in any one trial is 1/20).
Now, the probability of not flooding in the next year can be calculated using the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.
Therefore, the probability of not flooding in the next year can be calculated as follows:
P(not flooding) = 1 - P(flooding)
P(not flooding) = 1 - 0.05
P(not flooding) = 0.95
So, the probability of not flooding in the next year is 0.95 or 95%. This means that there is a high likelihood that the region will not experience flooding in the next year.
However, it's important to note that the probability of flooding in any given year is still greater than 0, which means that there is always a possibility of flooding occurring, regardless of whether it occurred in the previous year or not.
To know more about probability visit -
brainly.com/question/31469353
#SPJ11
true or false: the symbol in boolean algebra means regular addition as in linear regular algebra
Answer: False
Step-by-step explanation:
In Boolean algebra, the symbol "+" represents logical OR operation, not regular addition as in linear algebra. The logical OR operation is used to combine two or more logical statements into a single statement that is true if at least one of the statements is true.
For example, if A and B are two logical statements, then A+B is true if A is true, or B is true, or both A and B are true.
Therefore, it is important to understand the context in which the symbol "+" is being used, whether it is in the context of regular addition or logical OR operation.
Find the value of the test statistic z using z=^p−p√pq/n.
The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n = 800 deaths of the elderly with 15% of them attributable to residential falls.
a. -4.71
b. -3.96
c. 4.71
d. 3.96
Answer:
Option C - 4.71
Step-by-step explanation:
We are given the Test statistic for proportion as;
z = (^p − p)/√pq/n
From the question;
^p = 0.15
p = 0.1
q = 1 - 0.1 = 0.9
n = 800
z = (0.15 - 0.1)/√(0.1 × 0.9/800)
z = 0.05/√(0.09/800)
z = 4.71
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
To learn more about time-series method visit:
brainly.com/question/32443421
#SPJ11
In 1899, the first Green Jacket Golf Championship was held. The winner's prize money was $23 In 2020 , the winner's check was $2,670,000. a. What was the annual percentage increase in the winner's check over this period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If the winner's prize increases at the same rate, what will it be in 2055 ? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 1,234,567.89.
A) annual percentage increase in the winner's check over this period is approximately 11595652.17%.
B) if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.
a. To find the annual percentage increase in the winner's check over this period, we can use the formula:
Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100
First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:
Initial Value = $23
Final Value = $2,670,000
Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100
Now, we can calculate this value using the given formula:
Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%
Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.
b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:
Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n
Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)
Now, let's calculate the prize money in 2055 using the given formula:
Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35
Calculating this value, we find:
Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48
Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.
To learn more about Annual Percentage calculation:
https://brainly.com/question/12571149
#SPJ11
The weight of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 12.5 ounces and a standard deviation of 0.2 ounce. What proportion of the 12-ounce bags contain more than the advertised 12 ounces of chips
The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.
The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips can be determined by finding the area under the normal distribution curve to the right of the mean.
To find this proportion, we can use the z-score formula:
z = (x - mean) / standard deviation
In this case, we want to find the proportion of bags that contain more than 12 ounces, so x = 12 ounces.
z = (12 - 12.5) / 0.2
z = -2.5 / 0.2
z = -12.5
Next, we need to find the cumulative probability associated with the z-score. We can use a standard normal distribution table or a calculator to find this probability.
Looking up the z-score of -12.5 in the table or using a calculator, we find that the cumulative probability is approximately 0.
Therefore, the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.
Learn more about normal distribution curve
brainly.com/question/1838638
#SPJ11
Fill in the blank. (5 + 2) × 10 = (5 × 10) + (2 × __ )
Answer:
70=50+3.5=70 therefore the answer is 3.5
just number them pls
If X=6and Y=4 work out the value of 2Y ²
Answer:
64
Step-by-step explanation: