The computation of the future value is $92,691.08
How to calculate the future value?As we know that
Future value = Present value × (1 + interest rate)^number of years
where, the Present value is $24275
The Interest rate is 4.05%
And, the number of the year is 10 years
Now placing these values to the above formula;
So, the future value is;
Future value = Present value × (1 + interest rate)^number of years
= $24275× (1 + 0.0405)^10
= $24275× 1.448298166
= $92,691.08
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Jose drove a total distance of 72,230.4 yd on a race track. He drove 12 laps where each lap was the same length. What was the length of each lap? Write your answer in miles.
Answer:6019.2
Step-by-step explanation: what you want to do is divide 72,230.4 by 12 and you'll get 6019.2
1/2% of b is 50 find the quantity b ,if
Answer: 100
Step-by-step explanation:
You can set up the equation:
50 / (1/2)
Dividing by 1/2 is thhe same as multiplying by 2.
50 / (1/2) = 100
50(2) = 100
-5xy² + 7x²y+3y³ - 8x³
11
According to question
-5xy²+7x²y+3y³-8x³
putting x=2 and y=3
⇒ -5(2)(3)²+7(2)²(3)+3(3)³-8(2)³
⇒-5(18)+7(12)+3(27)-8(8)
⇒-90+84+81-64
∴ 11
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The correct question is find the value of equation if x=2 and y=3 , -5xy² + 7x²y+3y³ - 8x³
47. Find the value of x
what is the slope of a equation 2y = 3x + 4
Answer:
[tex]\textsf{Slope}=\dfrac{3}{2}[/tex]
Step-by-step explanation:
Given equation:
[tex]2y=3x+4[/tex]
Rearrange the equation to make y the subject by dividing both sides by 2:
[tex]\implies \dfrac{2y}{2}=\dfrac{3x+4}{2}[/tex]
[tex]\implies y=\dfrac{3x}{2}+\dfrac{4}{2}[/tex]
[tex]\implies y=\dfrac{3}{2}x+2[/tex]
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Compare the rearranged equation with the slope-intercept formula.
Therefore:
[tex]\textsf{Slope}=\dfrac{3}{2}[/tex][tex]\textsf{$y$-intercept}=2[/tex]Which of the following is not a solution for x < 8?
O x = -3
OX= 7.95
Ox=9
OX= 4.3
Answer:
x=9
Step-by-step explanation:
x=9
To find out what is a solution for x<8 you have to plug in all the answer choices for x.
When you plug in -3, you get -3<8 and 8 is bigger than -3, so then that makes it a solution because -3 is less than 8 and when you plug it in it sets the equation right.
When you plug in 7.95, you get 7.95<8 and 8 is bigger than 7.95 by a few but it still is bigger so then it's a solution because 7.95 is less than 8 making it a solution.
When you plug in 4.3, you get 4.3<8 and 8 is bigger than 4.3 so then it's a solution because it sets the equation right.
When you plug in 9, you get 9<8 and that's not right because 8 isn't bigger than 9, setting this answer choice as a non-solution to the inequality.
(Hope you understand this..)
Calculate and then write the reciprocal of your answer.
2/43 of the difference of 3 2/15 and 2 5/12
Step-by-step explanation:
3 2/15 - 2 5/12
4 - 25
1____________ = (60+4) - 25/60
39/60
60
2/43 * 39/60
=78/2580
The value of the reciprocal fraction is A = 30/1 = 30
What is Reciprocal Fraction?The fraction obtained by swapping or interchanging Numerator and Denominator with each other is known as the Reciprocal of the given fraction. The product of reciprocals is 1.
Given data ,
Let the value of the reciprocal fraction be represented as A
Now , the equation will be
Let the first fraction be represented as p
Now , the value of p = 3 2/15
On simplifying , p = 47/15
Let the second fraction be represented as q
Now , the value of q = 2 5/12
On simplifying , q = 29/12
Now , the equation is B = p - q
Substituting the values in the equation , we get
B = ( 47/15 - 29/12 )
B = 43/60
Now , ( 2/43 ) of the value of A is given as
C = ( 2/43 ) ( 43/60 )
On simplifying the equation , we get
C = ( 2/60 )
C = ( 1/30 )
Now , the reciprocal fraction is given as
A = 30/1
A = 30
Hence , the reciprocal fraction is A = 30/1
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Which expression is equivalent to 8x-2y+x+x
A) 4x
B 8x
c) 6x-2y
D) 10x - 2y
Please help will give brainlest!!!
Answer: D
8x + 1x + 1 x - 2y
NEED HELP ASAP ALSO I’M GIVING A TON OF POINTS AND THANKS! :)
Answer:
Compounded Semiannually: [tex](1.03454)^t[/tex] and APR = 3.454%
Compounded Quarterly: [tex](1.03469)^t[/tex] and APR = 3.469%
Step-by-step explanation:
Compound Interest Formula:The Compound Interest Formula is as follows: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex], which can also be written as: [tex]A = P((1 + \frac{r}{n})^n)^t[/tex], using properties of exponents. This is crucial since we want one value inside the parenthesis to calculate the APR (Annual Percentage Rate). Since we want the APR, the only thing we really care about is the [tex](1 + \frac{r}{n})^n[/tex], but this is going to be our APR + 1.
In the question, it's formatted as: [tex]b^t[/tex], and this inside part is going to be our b, so: [tex]b = (1 + \frac{r}{n})^n[/tex], and to calculate the APR we simply subtract 1.
Calculating APR:Compounded semiannually means the interest is compounded twice a year, so n = 2. We are also given the interest to be 3.425% which in decimal form is 0.03425
Plugging this into the formula stated above we get: [tex]b = (1 + \frac{0.03425}{2})^2 \approx 1.03454[/tex]
So we have the form:
[tex](1.03454)^t[/tex]
With our APR simply being the base - 1:
[tex]APR \approx 0.03454[/tex]
We multiply this by 100 to get it in percentage form:
[tex]APR\approx 3.454\%[/tex]
Compounded quarterly means the interest is compounded four times a year, so n = 4. Plugging in known values we get:
[tex]b = (1 + \frac{0.03425}{4})^4 \approx 1.03469[/tex]
So we have the form:
[tex](1.03469)^t[/tex]
With our APR simply being the base - 1
[tex]APR \approx 0.03469[/tex]
Multiply this by 100 to get it in percentage form:
[tex]APR \approx 3.469\%[/tex]
Answer:
[tex]\begin{array}{|c|c|c|}\cline{1-3} \vphantom{\dfrac12} \sf koooAccount& b^t& \sf Annual\;Percentage\;rate \\\cline{1-3} \vphantom{\dfrac12} \sf compounded\;annually& (1.03425)^t& 3.425\%\\\cline{1-3} \vphantom{\dfrac12} \sf compounded\;semiannually & \left(1.03454\right)^t &3.454\% \\\cline{1-3} \vphantom{\dfrac12} \sf compounded\;quarterly & \left(1.03469\right)^t& 3.469\%\\\cline{1-3} \vphantom{\dfrac12} \sf compounded\; daily& \left(1.03484\right)^t& 3.484\%\\\cline{1-3} \end{array}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
From inspection of the compound interest formula:
[tex]\implies b^t=\left[\left(1+\dfrac{r}{n}\right)^n\right]^t[/tex]
To find the annual percentage rate:
[tex]\implies APR=(b-1)\times 100[/tex]
Compounded annuallyGiven:
r = 3.425% = 0.03425n = 1Substitute the values into the formula for [tex]b^t[/tex]:
[tex]\implies b^t=\left[\left(1+\dfrac{0.03425}{1}\right)^1\right]^t[/tex]
[tex]\implies b^t=\left(1.03425\right)^t[/tex]
Therefore, the annual percentage rate is:
[tex]\implies APR=(1-1.03425) \times 100[/tex]
[tex]\implies APR=0.03425 \times 100[/tex]
[tex]\implies APR=3.425\%[/tex]
Compounded semi-annuallyGiven:
r = 3.425% = 0.03425n = 2Substitute the values into the formula for [tex]b^t[/tex]:
[tex]\implies b^t=\left[\left(1+\dfrac{0.03425}{2}\right)^2\right]^t[/tex]
[tex]\implies b^t=\left(1.03454326...\right)^t[/tex]
[tex]\implies b^t=\left(1.03454\right)^t[/tex]
Therefore, the annual percentage rate is:
[tex]\implies APR=(1-1.03454) \times 100[/tex]
[tex]\implies APR=0.03454 \times 100[/tex]
[tex]\implies APR=3.454\%[/tex]
Compounded quarterlyGiven:
r = 3.425% = 0.03425n = 4Substitute the values into the formula for [tex]b^t[/tex]:
[tex]\implies b^t=\left[\left(1+\dfrac{0.03425}{4}\right)^4\right]^t[/tex]
[tex]\implies b^t=\left(1.03469241...\right)^t[/tex]
[tex]\implies b^t=\left(1.03469\right)^t[/tex]
Therefore, the annual percentage rate is:
[tex]\implies APR=(1-1.03469) \times 100[/tex]
[tex]\implies APR=0.03469 \times 100[/tex]
[tex]\implies APR=3.469\%[/tex]
Compounded dailyGiven:
r = 3.425% = 0.03425n = 365Substitute the values into the formula for [tex]b^t[/tex]:
[tex]\implies b^t=\left[\left(1+\dfrac{0.03425}{365}\right)^{365}\right]^t[/tex]
[tex]\implies b^t=\left(1.03484162...\right)^t[/tex]
[tex]\implies b^t=\left(1.03484\right)^t[/tex]
Therefore, the annual percentage rate is:
[tex]\implies APR=(1-1.03484) \times 100[/tex]
[tex]\implies APR=0.03484 \times 100[/tex]
[tex]\implies APR=3.484\%[/tex]
Note: There is an error in the given table: the given "compounded daily" rate is incorrect.
What activities in your municipality do you think produce these gases?
Some activities carried out in my municipality that produce greenhouse gases are:
The cattle industry Transport in specific contextsAnalysis of activities that produce greenhouse gasesThere are many activities that produce these types of gases, some are:
The cattle industry: methane is produced in this industry, which is a potent greenhouse gas.Transport: driving different types of vehicles produces greenhouse gases, for example, CO₂ (carbon dioxide).¡Hope this helped!
The multiple instruments on the spacecraft-Cassini observed a giant storm erupted in December 2010 on Saturn. Which one of the following descriptions is NOT correct for the giant storm?
A. The storm developed in the northern hemisphere.
B. Lightning was not detected in the giant storm.
C. The storm generated very bright clouds on Saturn.
D. The storm affected the radiant energy budget of Saturn
The correct answer is option B.
The observation of a giant storm on Saturn from spacecraft Cassini indicates that lightning was not detected in the giant storm.
Usually Mega storms on Saturn happen on every 20 to 30 years.
Through the Cassini spacecraft, scientists could see a massive storm in December 2010. They saw that the storm waves were spreading from the planet's centre and that it was seen as a ringed globe.
The storm waves covered the whole surface of Saturn and had a diameter of around 190,000 miles or 300,000 kilometres.
Simply said, this enormous storm is also known as the Great Northern Storm or the Great White Spot.
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Atoms of element B from HCP lattice and those of the element A occupy 2/3 rd of tetrahedral voids. What is the formula of the compound formed by the elements A and B?
In a hexagonal-close-pack (HCP) unit cell, the ratio of lattice points to octahedral holes to tetrahedral holes = 1 : 1 : 2 is AB3
let the :
Number of lattice point = 1x.
Number of octahedral points = 1x
Number of tetrahedral points = 2x
If anions occupy the HCP lattice points and cations occupy half of the octahedral holes.
Number of anions occupying the HCP lattice points, A= 1x
Number of cations occupying the octahedral points, B = 1x
The formula of the compound will be =
If anions occupy the HCP lattice points and cations occupy all of the octahedral and the tetrahedral holes.
Number of anions occupying the HCP lattice points, A= 1x
Number of cations occupying the octahedral points, B = x
Number of cations occupying the tetrahedral points, B = 2x
total number of cations = x + 2x = 3x
The formula of the compound will be = AB3
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which of the following initial values of the variable y would result in the variable z being set to 2 after the code segment is executed?
When the following code section runs, the value of the variable y will be -2.
Given that,
We have to find when the following code section runs, what value will the variable y have? Assume the following input values:
The code mentioned above is explained in the section below.
Here, x=5, n=0, and the input values are 1–6.
So, x>3 is true.
Control will go to second if block and input y and z.
Now y=1 and z=2 and n=1
Next control goes to if(x) since x>0 which is true.
Now z=3 and x=4 and y=0 and n=0
Her n==0 so r=z- ++x => 3- (5) =>-2.
Hence r=-2
Therefore, the variable r=-2 is the output for the code.
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refers to meeting the needs of the present generation without compromising the ability of future generations to meet their own needs
The term that refers to meeting the needs of the present generation without compromising the ability of future generations has been sustainability.
¿What is sustainability?This has been a development that focuses on meeting the needs that arise today without compromising the resources of the following generations.
Sustainability is of paramount importance because:
It enables and contributes to economic growth. Contribute to environmental care and conservation.¡Hope this helped!
What is the role of galaxies, planets, satellites, comets, and asteroids in shaping the universe?
We can say that the role of galaxies, planets, satellites, comets and asteroids, in the conformation of the universe, is based on being elements to structure it.
¿What is the universe and what are its components?In physics, it is mentioned that the universe is all physical existence that exists, this goes from our planet to what is found abroad.
Within the universe, as an entity, how to find different elements that structure it, for example, we have:
GalaxiesPlanetsSatellitesKitesAsteroids¡Hope this helped!
price was $80 yesterday and $104 today whats the percentage increase
Answer:
30%
Step-by-step explanation:
The price of the item increased by $24 from yesterday to today, which represents a 30% increase. To calculate this, divide the increase in price by the original price and multiply the result by 100%:
$24 / $80 x 100% = 30%
Therefore, the percentage increase in the price of the item from yesterday to today is 30%.
400 mg is equal to how many grams
a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer.
a positive radial velocity means the object is moving [x] the observer, while a negative velocity means the object is moving [y] the observer ,x away from, y towards
Radial velocity is the velocity of an object in the direction of an observer. A positive radial velocity means the object is moving away from the observer, while a negative velocity means the object is moving towards the observer.Radial velocity is the speed of an object in a particular direction, as observed from an observer. It is measured in the direction towards or away from the observer. A positive radial velocity means the object is moving away from the observer, in a direction radially outward from the observer. A negative radial velocity means the object is moving towards the observer, in a direction radially inward from the observer.
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12. Find the LCD: 27, 54, 9, 108
A. 6
B. 108
C. 27
D. 18
The LCD of the given number set is; B: 108
How to find the Lowest common denominator?
The least common denominator (LCD) is defined as the smallest number that is a common denominator for a given set of fractions or numbers.
Now, we are given the number set as;
27, 54, 9, 108
Let us break down these into their respective products in terms of the prime numbers to get;
27 = 3 * 3 * 3
54 = 2 * 3 * 3 * 3
9 = 3 * 3
108 = 3 * 3 * 3 * 2 * 2
Thus, the LCD = 3 * 3 * 3 * 2 * 2 = 108
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- GIVING 50 POINTS - !!!PLEASE I BEG OF YOU HELP ME!!! What is the probability that a given student is on financial aid, given that he or she is a graduate? P(Financial Aid | Graduate)=[?]
The probability that a given student is on financial aid, given that he or she is a graduate is 0.72
How to determine the probability that a graduate student is on financial aid?Probability is the measure of the likelihood of an event occurring. In other words, it is a numerical representation of the chance that a particular event will happen.
Probability (graduate student is on financial aid) = number of (graduate student is on financial aid / total number of graduate students
Tota number of graduate students = 1879+ 731 = 2610
P(Financial Aid | Graduate) = 1879 / 2610 = 0.72
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2) If you wish to save up $220,000 using an annuity, what monthly payment is required into the
annuity if the annuity has an APR of 8.0% compounded annually and you wish to reach your
savings goal in 30 years?
Answer:
$936.91
Step-by-step explanation:
To find the monthly payment required to save up $220,000 using an annuity with an APR of 8.0% compounded annually over 30 years, we can use the following formula:
payment = (goal * rate) / (1 - (1 + rate) ^-n)
In this formula, "goal" is the savings goal, "rate" is the monthly interest rate, and "n" is the number of payments.
To find the monthly payment, we need to first convert the annual interest rate to a monthly rate by dividing it by 12:
rate = 8.0% / 12 = 0.0067
Next, we need to find the number of payments by multiplying the number of years by the number of payments per year:
n = 30 years * 12 payments/year = 360 payments
Substituting these values into the formula, we get:
payment = (goal * rate) / (1 - (1 + rate)^-n)
= (220,000 * 0.0067) / (1 - (1 + 0.0067)^-360)
= $936.91
The monthly payment required to save up $220,000 using an annuity with an APR of 8.0% compounded annually over 30 years is $936.91.
An actuary is studying hurricane models. A year is classified as a high, medium, or low hurricane year with probabilities 0.1, 0.3, and 0.6, respectively. The numbers of hurricanes in high, medium, and low years follow Poisson distributions with means 20, 15, and 10, respectively. Calculate the variance of the number of hurricanes in a randomly selected year
The variance of the number of hurricanes in a randomly selected year is 12.5 .
Mean number of hurricanes in a randomly selected year =
0.1 × 20 + 0.3 × 15 + 0.6 × 10 = 12.5
Now, since the sum of independent Poisson random variables also follows Poisson distribution.
Thus, the variance of the number of hurricanes in a randomly selected year = Mean = 12.5
In both statistics and probability theory, variance is the predicted squared deviation of a binomial distribution from its sample proportion or sample mean.
Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance. A few ideas that involve variance are descriptive research, statistical inference, testing hypotheses, goodness of fit, and Monte Carlo sampling.
The variance of a set of uncorrelated explanatory variables is equal to the sum of their variances, making it easier to manipulate mathematically than other measures of dispersion like anticipated absolute deviation.
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Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret weighs 2.1 pounds and costs $3.40 per week to feed, while a Labrador Retriever weighs 70 pounds and costs $7.50 per week to feed. Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.
$.06 / lb.
$16.56 / lb.
$1.73 / lb.
$1.62 / lb.
The slope of the line between these two points is $.06 / lb which is defined as the ratio of vertical extrade among points, the rise, to the horizontal extrade.
The slope is described because the ratio of the vertical extrade among points, the rise, to the horizontal extrade among the equal points, the run. . A slope with a extra absolute price shows a steeper line. The course of a line is both increasing, decreasing, horizontal or vertical. If a line is horizontal the slope is zero.
Let X1 = 2.1 pounds, Y1 = $3.4 and
X2 = 70 pounds, Y2 = $7.5
ΔX = 70 - 2.1 = 67.9
ΔY = 7.5 - 3.4 = 4.1
Slope (m) = ΔY / ΔX
= 4.1 / 67.9
= 0.060382916053019
= 0.06 (Rounded)
Therefore, answer is Option $.06 / lb.
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Consider the dot plots which show the distribution of data collected on two high school basketball players. Which statement BEST describes the center of the data collected for the two players? Responses A mean score for player 1 is greatermean score for player 1 is greater B range is greater for player 1range is greater for player 1 C median score for player 2 is greatermedian score for player 2 is greater D mean score for player 2 is greatermean score for player 2 is greater E mean scores are the same for both players
The best description of the dot plot is; median scores are the same for both players
How to interpret dot plots?A dot plot is defined as a simple plot that displays data values as dots above a number line. Now, dot plots show the frequency with which a specific item appears in a data set. Dot plots shows the distribution of the data.
The median of a data set is simply defined as the value in the middle of that same data set when arranged in ascending order.
From player 1, the data set when arranged in ascending order are;
8, 10, 10, 10, 12, 12, 14, 16, 16
In this case, the exact middle term is 12 which will be the median
For player 2, the data set when arranged in ascending order are;
0, 2, 6, 10, 12, 16, 18, 22, 22
In this case, the exact middle term is 12 which will be the median.
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state the distinct ways the number 910 can be written as a product of two positive integer factors. (enter your answer as a comma-separated list of products.)
Here are different ways to express 910 as the product of two positive integer coefficients:
1 x 910, 2x455, 5x182, 10x91, 13x70, 15x61, 26x35, 30x31
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According to the graph of H(w) below, what happens when the width
approaches zero?
Height
25-
(4,25)
(5,20)
(10,10)
(20,5)
25
Width
50
OA. The height gets very large.
OB. The height equals zero.
OC. The height approaches a horizontal asymptote.
OD. The height gets very small.
As per the graph of H(w) when w draws near to no the worth of H(w) gets extremely high.
Explain bit about graph of the function?The graph of a function f is the arrangement of all places in the plane of the structure (x, f(x)). We could likewise characterize the diagram of f to be the chart of the situation y = f(x). In this way, the chart of a capability if an exceptional instance of the diagram of a situation.
According to question:Think about the gave diagram of H(w)
If we observer the diagram of the function H(w) we reasoned that as the worth of w pushes toward 0 the worth of H(w) increments quickly.
The worth of H(W) is getting increasingly high when we are moving towards 0.
So, we can say that
When W → 0, H(w) → ∞
Thus, As per the chart of H(w) when w draws near to no the worth of H(w) gets extremely enormous.
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Describe what is meant by the statement “Renting can restrict ones lifestyle.”
Which, if any, is not a characteristic necessary for obtained values of chi-square to be distributed according to the tabled values of the chi-square distribution?
a. expected frequencies must be equal for all groups
b. the null hypothesis must be true
c. sampling must be random
d. all of the above must be true
Expected frequencies must be equal for all groups is correct option.
Expected frequency of all groups in chi square test should not be equal initially to perform the test.To help establish whether observed results are consistent with expected outcomes and to rule out the possibility that observations are the result of chance, a chi-square test is utilized. When data are being evaluated from a random sample and the variable in issue is a categorical variable, a chi-square test is applicable.Chi-square distributions are helpful for testing hypotheses because of how closely they resemble the conventional normal distribution. Many significant statistical tests and theories revolve around the standard normal distribution, which is a normal distribution with a mean of zero and a variance of one.To know more about frequency check the below link:
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Please Help!
You are at a fundraising carnival. You want to play one game and you've narrowed it down to two options, as follows:
OPTION 1: Choose a face card (K, Q, J) from a deck of cards. Then, spin an odd number on an 11-part spinner. $5 per play. Grand prize is $150.
OPTION 2: Roll two dice with a product greater than 4 and less than 12. Then, choose a numbered card from a deck of cards. $15 per play. Grand prize is $200.
Which option will you choose and why? Show your work and explain your thinking.
Describe a real-life representation of the following.
12/49 =0.24
A real-life representation of the following fraction 12/49 =0.24 is that 12kg or rice is to be shared among 49 friends. How many kg will each person get?
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
In this case, the real-life representation of the following fraction 12/49 =0.24 is that 12kg or rice is to be shared among 49 friends. How many kg will each person get?
This is illustrated as 12/49.
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