ANSWER
angle A, CAB, BAC
Classify the following into finite and infinite set
(i) The set of months in a year
(ii)The set of stars in the galaxy
(iii)The set of even integers
(iv)The set of odd integers
(v)The set of alphabets
i) finite set, ii) infinite set, iii) infinite set, iv) infinite set, and v) finite set are the required solutions.
A Set is a collection of objects with similar properties. There are different types of set two of them are finite and infinite set.
Finite set- A set is called a finite set when the elements inside the set are countable or where we can know the starting and the ending of the elements. For example- A set of players in a cricket team.
Infinite set- A set is called an infinite set when the elements inside the set are uncountable or where the ending of the elements is not known. For Example- A set of positive numbers.
Here in the question the option (i) and (v) are finite sets because the no.of months in the year and no.of alphabets are countable or finite. Option (ii), (iii), and (iv) are infinite sets as no.of stars in the galaxy, even integers, and odd integers are uncountable.
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Answer:
the set of months in a year is finite
the set of star in the Galaxy is finite
the set of even integers is infinite
the set of odd integers is infinite
the set of alphabet is finite
Step-by-step explanation:
1) the set of month in a year is finite because they are limit and we can count them easily
2) the set of star in the galaxy is finite cause there are zillions of stars
3) the set of even integer is infinite because numbers are unlimit or infinite
4) the set of odd integers is infinite cause numbers are infinite ir they have not limit
5) the set of alphabet is finite because we can count them limitedly
Solve.
-0.2x - 2.73 = - 3.2
Enter your answer as a decimal or as a mixed number
x=
Answer:
x = 2.35
Step-by-step explanation:
-0.2x - 2.73 = -3.2
+ 0.2x both sides
-2.73 = 0.2x - 3.2
+ 3.2 both sides
3.2 - 2.73 = 0.2x
0.47 = 0.2x
÷0.2 both sides
x = 2.35
The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (6 p.) (a) Obtain and interpret the quartiles for these scores. (b) Find and interpret the 99th percentile for these scores
Answer:
(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.
The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.
The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.
(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.
Step-by-step explanation:
The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.
So, to find the first quartile, we need to find the z-score for which:
P(Z<z) = 0.25
using the normal table, z is equal to: -0.67
So, the value x equal to the first quartile is:
\(z=\frac{x-m}{s}\\ x=z*s +m\\x =-0.67*119 + 462\\x=382.27\)
Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.
At the same way, the z-score for the second quartile is 0, so:
\(x=0*119+462\\x=462\)
So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.
Finally, the z-score for the third quartile is 0.67, so:
\(x=z*s +m\\x =0.67*119 + 462\\x=541.73\)
So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.
Additionally, the z-score for the 99th percentile is the z-score for which:
P(Z<z) = 0.99
z = 2.33
So, the 99th percentile is calculated as:
\(x=z*s +m\\x =2.33*119 + 462\\x=739.27\)
So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.
What is -9/10 as a fraction
Answer:
its already a fraction I Dunno what you want me to do.
Step-by-step explanation:
Please name the sides on the triangle below
A circle has a diameter of 24 in what is the circumference pi is 3.14
Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
find the value of x in both of the problems
Answer:
x = 127°
x = 36
Step-by-step explanation:
For the question 5:The sum of interior angles for the given geometrical figure is calculated with the following formula:
(s-2) × 180
s is the number of sides/angles.3 × 180 = 540
Find the sum of all angles.90 + 143 + 77 + 103 + x = 540
Add like terms.413 + x = 540
Subtract 413 from both sides to isolate x.x = 127°
For the question 6:The given is a hexagon. The sum of its exterior angles is equal to 360.
Find the sum of the given angles to find the value of x.80 + 59 + 2x + 59 + 54 + x = 360
Add them up.252 + 3x = 360
Subtract 252 from both sides to isolate x.3x = 108
Divide both sides by 3.x = 36
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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You are saving for an emergency fund totaling six months' worth of expenses as well as investing 20% of each paycheck for retirement. If your monthly expenses amount to $1,465 and you want to put aside 30% of each month's expenses for your emergency fund and you earn $2,650 each month. how much do you need to set aside each month for your emergency fund and retirement savings?
You need to set aside each month for an emergency fund and the retirement amount is $970.
What is an emergency fund?An emergency fund is separate savings account to cater to the following unplanned situations:
Unplanned expensesAn illnessThe loss of a job.It is prudent to have up to 6 months' salary in an emergency fund.
Monthly salary = $2,650
Monthly expenses = $1,465
Emergency fund = 30% of expenses
= $440 ($1,465 x 30%)
Retirement savings = 20% of the salary
= $530 ($2,650 x 20%)
Total amount to set aside each month = $970 ($440 + $530)
Thus, for your retirement and emergency fund, you need to set aside $970 monthly.
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When Captain Smollett lists what he does not like about the voyage in chapters 7-9 of Treasure Island, what does he expect to happen?
A. He will be fired.
B. The voyage will be cancelled.
C. He will be killed.
D. Mr. Trelawney and Dr. Livesey will fix all the issues he mentioned. Captain Smollett will be allowed to find a new crew.
Captain Smollett expects to happen with:
D. Mr. Trelawney and Dr. Livesey will fix all the issues he mentioned. Captain Smollett will be allowed to find a new crew.
Treasure IslandIn chapters 7-9 of Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey. He lists several issues, including the lack of experienced sailors, the behavior of the crew, and the possibility of mutiny.
However, he does not expect to be fired or killed, and he does not want the voyage to be cancelled. Instead, he hopes that Mr. Trelawney and Dr. Livesey will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully.
In Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey in chapters 7-9, and he hopes that they will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully. He does not expect to be fired or killed, and he does not want the voyage to be cancelled.
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do any of you guys know the answer to this?
Answer:
Granola Bars: Tasty Treat
Juice boxes: Healthy Eatz
Muffins: Tasty Treat
Ice Cream: Healthy Eatz
Step-by-step explanation:
Divide the price of everything by it's quantity.
Ex. Healthy Eatz Granola Bars:
3.00 ÷ 6= 0.5
(each granola bar costs 5 cents)
-Do that for everything and select the cheapest cent per item for each category
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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1
2
Active
A polynomial is factored using algebra tiles.
+x²+x+X
--X
k
Mark this and return
1
I
I'
T
1
1
I
10
Which polynomial was factored?
Ox²-2x-8
Ox²+2x-8
Ox²-2x-4
Ox²+2x-4
Save and Exit
Next
TIME REMAINING
57:47
Submit
(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.
Given are the polynomials,
1) x² - 2 x - 8
Factors = (x+2)(x-4)
2) x² + 2 x - 8
Factors = (x-2)(x+4)
3) x²-2x-4 = There will be no integral root.
4) x²+2x-4 = There will be no integral root.
Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.
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200% of x is b min. Find the amount
Answer:
The answer is 269 in.
hope this helps!
Sorry I’m late oops
Step-by-step explanation:
In the diagram below, which description is correct?
A ZEBC is an acute angle
B ZDBF is an obtuse angle
C FBD is a right angle
D ZABE is a straight angle
Answer:
c. fbd is right angle
Step-by-step explanation:
fbd=fbe+ebd=65+25=90= right angle
therefore ans is c
Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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The table shows how many children and adults prefer each of two different fruits. How would you find the joint relative frequency of being an adult who prefers watermelon?%0D%0A%0D%0AWatermelon%09Grapes%09Total%0D%0AChild%09132%0985%09217%0D%0AAdult%09111%09117%09228%0D%0ATotal%09243%09202%09445%0D%0A%0D%0AA.%0D%0ADivide 111 by 228.%0D%0A%0D%0AB.%0D%0ADivide 111 by 243.%0D%0A%0D%0AC.%0D%0ADivide 111 by 445.%0D%0A%0D%0AD.%0D%0ADivide 243 by 445.
The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.
Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.
So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.
Hence, the correct answer is:
C. Divide 111 by 445.
If no one minds I need help!
Answer:
A and C
Step-by-step explanation:
Put the points on a graph and determine if they are perpendicular.
They are, in fact, perpendicular.
Why is ten times ten?
Answer:
100
Step-by-step explanation:
10 · 10 = 100
Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.
So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.
Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Write the given statement using symbols type any Quetion do not simplify The sum of X and eight is the product of seven and 10
Answer:
\(x+8=7*10\)
Step-by-step explanation:
Sum of X and 8: \(x+8\)
Product of seven and 10: \(7*10\)
Put them together:
\(x+8=7*10\)
GAIL IS TO BRING 72 COOKIES TO A PARTY.IF THE COOKIES ARE PACKAGE 12 TO A BAG, HOW MANY BAG WILL SHE NEED?
Answer:
6 bags
Step-by-step explanation:
72 divide by 12 equals 6.
Helppppppppppp meeeeeeeeee
Answer:
The Area is 13 sq m
Step-by-step explanation:
hope it helps you..
Answer:
22 is right answer I think
Find the area of the shaded
figure.
1
1 2 3 4 5 6 7 8 9 10 11 12
[? ] square units
The area of the shaded figure is 58 square meters
How to determine the shaded region?The shaded region is a shape cut out from a rectangle
According to the graph, the dimension of the complete rectangle is:
Length = 10
Width = 7
So, the area is
Area = 10 * 7 = 70
The cut out rectangle has the following dimension
Length = 2
Width = 6
So, the area is
Area = 2 * 6 = 12
The shaded is the difference between the above areas.
So, we have:
Shaded = 70- 12
Shaded = 58
Hence, the area of the shaded figure is 58 square meters
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Problem 1
1.a. Use addition or subtraction to rewrite the equation.
13 POINTS
Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer
Answer:
7x = -14x = -2Step-by-step explanation:
1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...
7x -3 +3 = -17 +3
7x = -14
__
2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...
7x/7 = -14/7
x = -2
_____
Additional comment
Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:
7x -3 -95 = -17 -95 ⇒ 7x -98 = -112 . . . . . subtract 95 from both sides
12(7x -98) = 12(-112) ⇒ 84x -1176 = -1344 . . . . multiply both sides by 12
The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately, their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 15% ( add-on-rate). If the refrigerator at Sears costs $1,500 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 2 years, what is the monthly payment?
Sears offers them an installment loan at 15% (add-on rate) and if at Sears costs $1,500 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 2 years, the monthly payment will be $75.47 using the interest and percentage formulas.
As per the question statement, Karen and Wayne need to buy a refrigerator because theirs just broke but their savings account is depleted and they will need to borrow money in order to buy a new one. The Sears offers them an installment loan at 15% ( add-on-rate), If the refrigerator at Sears costs $1,500 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 2 years. We are supposed to find the monthly payment made by them using the interest formula and percentage formula.
5% of $1500 = $75
Total amount borrowed is 1500 + 75 = $1575.00
Sears charges 15% to borrow the money
15% of 1575 = $236.25
total amount is 1575 + 236.25 = $1811.25
There are 24 months present in 2 years so,
The monthly payment = 1811.25 / 24 = $75.47
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wich of the following properties was used for 3(x+2)=3x+6
Answer:
you will want to have a good understanding of these properties to make the problems in ... Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. ... “three times the variable x” can be written in a number of ways: 3x, 3(x), or 3 · x. ... Use the distributive property to evaluate the expression 5(2x – 3) when x = 2.
y
The distributive property tells us that if were given an expression such as 3(x + 2), we can multiply the 3 by both the x and the 2 to get 3x + 6.
The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 374 parts per million. Find the increase in carbon dioxide levels and the percent of increase. Round to the nearest tenth of a percent.Increase carbon dioxide levels: ______parts per millionPercent increase: ______%
Answer
Increase in carbon dioxide levels = 61 part per million
The percent of increase = 19.5 %
Explanation
In 1959, there were 313 parts per million of carbon dioxide in the atmosphere.
In 2005, the figure was 374 parts per million.
The increase in carbon dioxide levels will be: (374 - 313) = 61 part per million
The percent of increase = (increase in carbon dioxide levels)/(the carbon dioxide levels in 1959) x 100
\(\text{The percent of increase }=\frac{61}{313}\times100=19.5\text{\%}\)