Answer: $38,825.
Step-by-step explanation:
To calculate the total cost of the car, we need to consider the cost of the car itself, the tax and license fees, and the cost of the loan.
Cost of the car = $18,000
Tax and license fees = $1,200
Total cost of the car = $18,000 + $1,200 = $19,200
To calculate the cost of the loan, we can use the formula for monthly loan payments:
P = (r * A) / (1 - (1 + r)^(-n))
where:
P = monthly payment
r = monthly interest rate (7.25% / 12 = 0.00604166667)
A = loan amount ($17,000)
n = total number of payments (4 years * 12 months/year = 48 payments)
Plugging in the numbers, we get:
P = (0.00604166667 * $17,000) / (1 - (1 + 0.00604166667)^(-48))
P = $408.74 (rounded to the nearest cent)
The total cost of the loan is simply the monthly payment multiplied by the total number of payments:
Total cost of the loan = $408.74 * 48 = $19,624.52 (rounded to the nearest cent)
Adding the total cost of the car to the total cost of the loan, we get:
Total cost = $19,200 + $19,624.52 = $38,824.52
Therefore, the total cost of the car, to the nearest dollar, is $38,825.
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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Jacob writes N, a three-digit multiple of 7, on a whiteboard, then covers one of the digits with a piece of paper. Julie knows that N is a multiple of 7. No matter which of the three digits are being covered, if Julie looks at the board, she can be certain of the value of the digit that is being covered. How many possible values of N are there?
Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at x = −7 and x = 5 and passes through the point (0, −2).
The formula of the parabola is y = 2/35(x + 7)(x - 5)
How to determine the formula of the parabola?The parameters in the question are given as
Horizontal intercepts (roots) at x = −7 and x = 5 Passes through the point (0, −2).These parameters can be represented as
x₁ = -7 and x₂ = 5
(x, y) = (0, -2)
The quadratic function can be represented as
y = a(x - x₁)(x - x₂)
Substitute the known values in the above equation So, we have the following equation
y = a(x + 7)(x - 5)
At (x, y) = (0, -2), we have
-2 = a(0 + 7)(0 - 5)
Evaluate
a = -2/-35
Divide
a = 2/35
So, we have
y = 2/35(x + 7)(x - 5)
Hence, the equation is y = 2/35(x + 7)(x - 5)
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I’ll give brainliest
Answer:
correct answer is d. 0.50 per pound
explanation-
equation of line is y=mx+c
where c is the point where the line intersects y axis. (0,0) in this case.
and m is the slope, which we need to find.
from the graph, when x=2, y=1. putting in above equation
1=2m+0
implies m=0.5
Answer:
$. 50 per pound
Step-by-step explanation:
We need to find the slope
We have two points (0,0) and (2,1.00)
m = (1-0)/(2-0)
=1/2
=.50
$. 50 per pound
Question A
Ajay and Belinda plan to share some money in the ratio 1: 4. Belinda finds that changing the ratio to 1:n would result in her share increasing by 10%.
Work out the exact value of n.
Please someone help me i will mark brainliest for first to answer correctly !
The exact value of n is 4.4
Ratio is defines the relationship between two quantities such as a:b, where b is not equal to 0.The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’
According to the question,
Ajay and Belinda plan to share some money in the ratio 1: 4
Let Ajay got total of x
and Belinda got 4x
Total money will be then x + 4x = 5x
Belinda finds that changing the ratio to 1:n would result in her share increasing by 10%
10% of 4x = 4x + 10×4x/100
= 4x + 4x/10
= 4x + 2x /5
=4.4 x
To get 10% more share n should be 4.4
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Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
Given the exponential function f (x) and the logarithmic function g(x), which of the following statements is true?
a. As x→∞, f (x)→∞ and g(x)→∞.
b. As x→∞, f (x)→∞ and g(x)→1.
c. As x→∞, f (x)→3 and g(x)→1.
d. As x→∞, f (x)→3 and g(x)→∞.
HELP!!! ASAP!!! PRE-CALCULUS!!!
Answer:
a
Step-by-step explanation:
Both the exponential and logarithmic functions tend to infinity.
What is 2.02 times 4.2?
Answer:
8.484
Step-by-step explanation:
Answer:
8.484
Step-by-step explanation:
The EXACT value of 2 divided (0.01)2
Answer:
Find the exact value using trigonometric identities.
100
Step-by-step explanation:
The exact value of 2 divided by (0.01) 2 is 20000.
We are given that;
2 divided (0.01)2
Now,
To find the exact value of 2 divided by (0.01) 2, we can use the following steps:
Rewrite 0.01 as a fraction: 0.01 = 1/100
Square both the numerator and the denominator: (0.01) 2 = (1/100) 2 = 1/10000
Flip the fraction and multiply by 2: 2 / (0.01) 2 = 2 x 10000/1 = 20000
Therefore, by algebra the answer will be 20000.
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GIVING BRAINIEST!!!!!!!!
Answer:
look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.
given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°
now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°
Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180
aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°
Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy's account balance be in 7 months?
Total balance in the account after 7 months is 2849.737$
It is given that Timothy deposits $2780.20 in a savings account
It is given that rate of interest is 4.3 % and it of the simple interest nature.
We are required to find the account balance of Timothy's account in 7 months
We know that formula of simple interest is given by
(principal x rate x time)/100
where principal is the amount put for investing
rate is the rate at which the person is going to earn
time is the time for which the amount is to be invested
Now the time that is given to us in the form of months and hence we must convert it into years form
1 year =12 months
therefore, 7 months = 7/12 years
Now applying this value to calculate the simple interest earned
Let the simple interest be 'SI'
principal = $2780.20
rate = 4.3%
time = 7/12 years
SI= (2780.20x 4.3 x 7)/100 x 12
= 69.737$
The balance in Timothy's account will be original amount + the simple interest
Total balance after 7 months = 2780.20+69.737
=2849.937$
Hence total balance in the account after 7 months is 2849.737$
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Jordyn had an 8-ounce glass of water. She drank 4.7 ounces and poured another 3.5 ounces into her glass. Which expression represents the amount of water that is
in the glass now?
A (8) + (-4.7) + (3.5)
B (-8) + (-4.7) + (3.5)
C (8) + (-4.7) -(3.5)
D D (8) (-4.7) (-3.5)
Answer:
A
Step-by-step explanition
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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Which steps are needed to solve this equation? . b + 6 = 21 Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b. Subtract 6 from the left side and add 6 to the right side of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to both sides of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to the left side and subtract 6 from the right side of the equation. The answer is b = 15. Check the solution by substituting 15 for b. edge
The solution by substituting 15 for b in the Original equation. The answer is true.
The steps needed to solve the equation b + 6 = 21 are:
Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.
Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.
Therefore, the correct steps to solve the equation are:
Subtract 6 from both sides of the equation. The answer is b = 15
the solution by substituting 15 for b in the original equation. The answer is true.
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100 POINTS IF CORRECT, THIS IS URGENT
Select the correct answer. In the function above, the slope will be multiplied by -9, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function?
A. W
B. X
C. Z
D. Y
Answer:
the answer is either y or z but i really think its y
Step-by-step explanation:
100 POINTS WILL MARK BRAINLIEST NEED BY 9:00
Solve the linear equation below. Show ALL your work AND explain the type of solution you found!
8 - 2(4v + 6) = - 4 - 8v
Answer:
See below ~
Step-by-step explanation:
8 - 2(4v + 6) = -4 - 8v8 - 8v - 12 = -4 - 8v-8v - 4 = -4 - 8vOn placing any value for v, they will be equalIt has infinitely many solutionsAnswer:
Hello! The solution to this linear equation is 0 = 0. To find this solution:
Distribute -
8 - 2(4v+6) = -4 - 8v
8 - 8v - 12 = 14 - 8v
Subtract the numbers -
8 - 8v - 12 = -4 - 8v
-4 - 8v = -4 - 8v
Rearrange terms -
-4 - 8v = -4 - 8v
-8v - 4 = -4 - 8v
Rearrange terms -
-8v - 4 = -4 - 8v
-8v - 4 = -8v - 4
Add 4 to both sides -
-84v - 4 = -8v - 4
-8v - 4 + 4 = -8v - 4 + 4
Simplify -
-8v - 4 + 4 = -8v - 4 + 4
-8v = -8v - 4 + 4
-8v = -8v
Add 8v to both sides -
-8v = -8v
-8v + 8v = -8v + 8v
Combine like terms and simplify -
-8v + 8v = -8v + 8v
0 = -8v + 8v
0 = 0
The solution is 0 = 0. This is an identity: it is true for all values.
Hope this helps! Have a great day.
Find the volume generated by rotating the region bounded by y = sin(x), y = 0, x= 2π, z = 3π about the y-axis. Express your answer in exact form. Volume=
Given function y = sin (x), y =0, x = 2π , x = 3π . using same method in which volume of region about y axis . V = 2π \(5[x]\) = 10⊄ 2.
so required volume 'v' 2= 10⊄ 2 unit is the final answer.
V = ∫π\(rhdn\) where r = radius
h = height
dn= thickness
a = 2π , b = 3π
r = x , h(x) = sin (x)
volume V = \(\int\limits^3_2 {2\pi xsin (x)} \, dx\)
V = 2π \(\int\limits^3_2 {\pi xsin (x)} \, dx\)
using integeration by parts of ∫ \({\pi xsin (x)} \, dx\)
u = n v' = sin (x) v = ∫ sin(x) = -cos (x)
- ∫ \({\ xsin (x)} \,dx\) = n ( -cos (x)) ∫ \(\frac{d}{dx} x\) x × ( -cos(x)) \(dx\)
= - cos n + ∫ \(cos (x)dx\) = \(ncos x + sin x\)
V = 2π \([ - x cos (x) = sin (x) ]^{35} =25 [ =35 cos 35] + sin (35]\)
V = 2π \(5[x]\) = 10⊄ 2.
so required volume 'v' 2= 10⊄ 2 unit is the final answer.
How do you find the volume of a bounded region?
If the region bounded above by the graph of f, below by the x-axis, and on the sides by x=a and x=b is revolved about the x-axis, the volume V of the generated solid is given V=∫abπ[f(x)]2dx.
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Steve made 50$ raking leaves 75$ mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
decrease 150km in the ratio 2:5
2:5 = 2/5
2/5 x 150
2 x 30= 60km
How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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a basketball player made some shots worth two points and the rest were three points. If she made 16 shots for a total of 38 points, how many of each type did she make?
PLEASE HELP ME I WILL GIVE 95 POINTS AND BRAINLIEST FOR CORRECT ANSWER
Answer:
10 two-pointers, 6 three-pointers
Step-by-step explanation:
10 two-pointers, 6 three-pointers
10 shots * 2 points = 20 points
6 shots * 3 points = 18 points
20 + 18 = 38 points
Please put the following numbers in order largest to smallest: 19/50; 0.37; 40%
Answer:
19/50 40% 0.37
Step-by-step explanation:
19/50 = 0.38
0.37 = 0.37
40% = 0.40
40%, 19/50, 0.37
Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
In 5 batches of trail mix, there are 3 cups of chocolate chips. How many cups of chocolate chips are in 1 batch?
Answer:
5÷3=1.6666666667
so in 1 batch there would be 1.67 cups?
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
1 inch
Step-by-step explanation:
Equation:
2/9.4 = x/4.7
9.4 = 9.4x
x = 1
-Chetan K
Please help me now. I am stuck on this one.
Answer:
Step-by-step explanation:
Formula: Area=(a+b)/2 * h
72=(16+8)/2*h
72=24/2*h
72=12*h
h=72/12
h=6
It will be nice if you give me brainlies.Good luck!
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number x has a Poisson distribution with parameter μ = 0.5. (Round your answers to three decimal places.)
(a) What is the probability that a disk has exactly one missing pulse?
(b) What is the probability that a disk has at least two missing pulses?
(c) lf two disks are independently selected, what is the probability that neither contains a missing pulse?
Answer:
Explained below.
Step-by-step explanation:
The random variable X is defined as the number of missing pulses and follows a Poisson distribution with parameter (μ = 0.50).
The probability mass function of X is as follows:
\(P(X=x)=\frac{e^{-\mu}\ \mu^{x}}{x!};\ x=0,1,2,3...\)
(a)
Compute the probability that a disk has exactly one missing pulse as follows:
\(P(X=1)=\frac{e^{-0.50}\ 0.50^{1}}{1!}=0.3033\)
Thus, the probability that a disk has exactly one missing pulse is 0.3033.
(b)
Compute the probability that a disk has at least two missing pulses as follows:
\(P(X\geq 2)=1-P(X<2)\\\)
\(=1-[P(X=0)+P(X=1)]\\=1-[\frac{e^{-0.50}\ 0.50^{0}}{0!}+\frac{e^{-0.50}\ 0.50^{1}}{1!}]\\=1-0.6065-0.3033\\=0.0902\)
Thus, the probability that a disk has at least two missing pulses is 0.0902.
(c)
It is provided that the two disks selected are independent of each other.
The probability that a disk has no missing pulses is:
\(P(X=0)=\frac{e^{-0.50}\ 0.50^{0}}{0!}=0.6065\)
Compute the probability that neither of the two disks contains a missing pulse as follows:
\(P(X_{1}=0,\ X_{2}=0)=P(X_{1}=0)\times P(X_{2}=0)\)
\(=0.6065\times 0.6065\\=0.367842\\\approx 0.3678\)
Thus, the probability that neither of the two disks contains a missing pulse is 0.3678.
Find a posible formula for the function.
A family has a $42,000 annual salary. Can they afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month, including principal, interest, taxes, and insurance?
Yes! they can afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month.
What is in a mortgage?
Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount of the principal part. Borrowing money has a cost, which is interest.
Given data:
Annual Salary =$42,000
Cost =$85,000
Mortgage = $65000
Monthly Payment = $720
First Criterian : - Never Spend more than 2.5 times of your Annual Income.
2.5 * 42,000
= 105,000
it can be afforded.
Second Criterian : - Monthly Payment should not exceed Weekly Income
Monthly Payment = 720
Weekly earnings = 42000 / 52 weeks = 807
it can afforded.
Third Criterian : - monthly payment should not exceed 28% of monthly earnings.
Monthly payment = 720
Monthly earnings = 42,000 / 12 = 3500
28% * 3500
= 980
it can be afforded.
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14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.