Answer:
a) The cost of buying this car is of £6200.
b) The monthly payment is of £450.
Step-by-step explanation:
The cost of buying a car is given by:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.
So
cost = 12*350 + 2000 = 4200 + 2000 = 6200
The cost of buying this car is of £6200.
b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.
Again, the formula is applied. So
cost = 12 X monthly payment + deposit
8000 = 12x + 2600
12x = 5400
x = 5400/12
x = 450
The monthly payment is of £450.
Pls help extra points and mark brainlist
Answer:
x-4=19
Step-by-step explanation:
Hope that helps!
Answer:
x-4 is equal to 19
may be this is answer of your questions
Chloe wants to pay off her credit card debt of $7,316.48 that has an APR of 16.73%. She is paying $300 per month.
a) Using the finance charge defined in class (charge = r*(balance-payments+purchases)), what would be the credit card balance (to the nearest dollar) after one year?
b) If she increased her monthly payment by $50 to $350 per month, what would be the credit card balance (to the nearest dollar) after one year?
a) Using the formula for finance charge, we can find the balance after one year:
charge = r*(balance-payments+purchases)
Here, r = 16.73% = 0.1673 (as a decimal), payments = $300 per month = $3,600 per year, and purchases = 0 (since Chloe is not making any new purchases).
Let's assume that x is the balance after one year. Then, we can write:
0.1673*(7316.48-3600) = x - 3600
Simplifying and solving for x, we get:
x = $6,830.58
So, the credit card balance (to the nearest dollar) after one year would be $6,831.
b) If Chloe increases her monthly payment to $350 per month, then her payments for the year would be $4,200. Using the same formula as above, we can find the balance after one year:
0.1673*(7316.48-4200) = x - 4200
Simplifying and solving for x, we get:
x = $5,774.99
So, the credit card balance (to the nearest dollar) after one year with a $350 monthly payment would be $5,775.
how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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WILL GIVE BRAINLEST!!!
Answer:
18 12
6 22
Step-by-step explanation:
if u understand my handwriting lol
Use the image to determine the type of transformation shown.
Graph of polygon VWXYZ with W at point 2 comma 4. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 2 comma 4.
Reflection across the x-axis
Reflection across the y-axis
270° counterclockwise rotation
Horizontal translation
The image is reflected over the y-axis. Then the correct option is B.
Given that:
Point of the polygon VWXYZ, W(2, 4)
Point of the polygon V'W'X'Y'Z', W'(-2, 4)
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The point W' can be obtained by reflecting the shape across the y-axis.
Thus, the correct option is B.
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The missing diagram is given below.
The Image of a point under Do3, is (7,2).
Its preimage is
A. (7/3, 7/2)
B. (21, 6)
C. (4, -1)
Answer:
B
Step-by-step explanation:
9514 1404 393
Answer:
B. (21, 6)
Step-by-step explanation:
The preimage coordinates are multiplied by the dilation factor to obtain the image coordinates. If P is the preimage point and the dilation factor is 1/3, you have ...
(1/3)P = (7, 2)
P = 3(7, 2) = (3·7, 3·2)
P = (21, 6)
The preimage point is (21, 6).
The school park has a circular pond with a radius of 4 yards. What is the pond's diameter?
Answer:
The diameter of the pond is 8.
Step-by-step explanation:
Diameter formula d = 2r
So d = \(2*4\)
d = 8
Answer:
the answer is 8
Step-by-step explanation:
so 4r x 2=8d
or
2(4r)=8d
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
Chaz kept a record of how many gallons of gas he purchased each day last week. Drag and drop the days into the correct boxes to order the days from the least amount of gas Chaz purchased to the greatest amount of gas Chaz purchased.
Day Gas (in gallons)
Monday 4.5
Tuesday 3.6
Wednesday 4.252
Thursday 3.71
Friday 4.255
Answer:
The arrangement of days from least to greatest according to number of gallons is:
Tuesday
Thursday
Wednesday
Friday
Monday
Step-by-step explanation:
The given amount of gallons is in decimal form and we have to arrange the numbers in the order from least to greatest.
4.5 is the largest number in the given numbers.
Then comes 4.252 and 4.255
As 0.252<0.255 so 4.252 will be smaller.
The smallest number is 3.6
Arranging the numbers, we get
3.6
3.71
4.252
4.255
4.5
Now arranging the corresponding day to each number,
The arrangement of days from least to greatest according to number of gallons is:
Tuesday
Thursday
Wednesday
Friday
Monday
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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Annual earnings, including bonuses, for Financial Analysts and Personal Financial Advisors, are currently following a skewed to the right distribution with a mean of $66,500 and a standard deviation of $10,500. According to the 68-95-99.7 rule, it is correct to say that (select ALL that apply):______.
a. the middle 95% of all Financial Analysts and Personal Financial Advisors make between $45.500 and $77,000 annually.
b. only 2.5% of all Financial Analysts and Personal Financial Advisors make less than $45,500 annually.
c. both of the above statements are false
Answer:
c. both of the above statements are false
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Distribution skewed to the right
This means that the Empirical Rule is not applicable, and the two statements are false, and thus, the correct answer is given by option c.
The first would be false nonetheless, but the second would be true if the distribution was normal.
6x = 52 − 2y 5x + 7y = 70 Question 1 What is the first step when solving the given system by the elimination method?
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equations are given below.
6x = 52 - 2y
6x + 2y = 52
3x + y = 26 ...1
5x + 7y = 70
(5/7)x + y = 10 ...2
Subtraction equation 2 from equation 1, then we have
3x - (5/7)x = 26 - 10
(16/7)x = 16
x = 7
Then the value of 'y' is given as,
3(7) + y = 26
21 + y = 26
y = 5
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
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I dont understand how to do this precalc question
Answer:
x-intercept: (-0.1, 0)Horizontal Asymptote: y = -3Exponential growth(First answer option)
Step-by-step explanation:
General form of an exponential function
\(y=ab^x+c\)
where:
a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form:Given exponential function:
\(y=4(10)^x-3\)
x-interceptThe x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:
\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)
Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.
AsymptoteAn asymptote is a line that the curve gets infinitely close to, but never touches.
The parent function of an exponential function is:
\(f(x)=b^x\)
As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.
Therefore, there is a horizontal asymptote at y = 0.
This means that a function in the form \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.
Therefore, the horizontal asymptote of the given function is y = -3.
Exponential Growth and DecayA graph representing exponential growth will have a curve that shows an increase in y as x increases.
A graph representing exponential decay will have a curve that shows a decrease in y as x increases.
The part of an exponential function that shows the growth/decay factor is the base (b).
If b > 1 then it is an increasing function.If 0 < b < 1 then it is a decreasing function.The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.
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PLLLLLLLLLLLLLLLZZZZZZ HELP IVE BEEN STUCK ON THIS ONE
Answer:
yeet device and hope it breaks.
Step-by-step explanation:
Take a picture and say it died
Write an equation of the line with slope 2/3 and y-intercept -9
Answer:
y=2/3x - 9
Step-by-step explanation:
Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute long video
The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.
What is the time taken by Mabel to edit the hour?According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.
On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.
Hence, the time taken to edit the 15minute long video is; 20 hours.
hi
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The approximate areas of Nebraska and Massachusetts are listed below:
Nebraska: 2 x 105 square kilometers
Massachusetts: 2.73 x 104 square kilometers
What's the difference between the areas of the two states? Express your answer using
either standard notation or scientific notation.
The distance between the areas of the two states is A = 1.727 x 10⁵ km²
Given data ,
Let the area of Nebraska = 2 x 10⁵ km²
Let the area of Massachusetts = 2.73 x 10⁴ km²
The difference between the areas of Nebraska and Massachusetts A = the area of Nebraska - the area of Massachusetts
On simplifying the exponents , we get
A = 2 x 10⁵ km² - 2.73 x 10⁴ km²
Taking the common factor , we get
A = 10⁴ ( 20 - 2.73 )
A = 10⁴ ( 17.27 )
A = 1.727 x 10⁵ km²
Hence , the area is A = 1.727 x 10⁵ km²
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Find x and the measurement of each angle.
Answer:
x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,
Step-by-step explanation:
Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
In a class of 25 students, 15 of them have a cat,
16 of them have a dog and 3 of them have neither.
Find the probability that a student chosen at random
has a cat and a dog.
Answer:
9/25
Step-by-step explanation:
I used to struggle on these too, but I'll exaplain the best I can. Firstly, we know that 3 people don't have a cat or a dog, so what we do is we minus that from 25. This becomes 22. Now, we have to add the amount of people who have a cat to the amount of people who have a dog, and then minus it from 22, because that is the amount of people without double ups in the class with at least either one of the pets given. So, 16+15=31. Now, we do 31-22, which is equal to 9. Therefore, 9/25 people, (because the question asked out of random in the class), have a cat and a dog. This is because the double up are the extra amount of people who had more than one pet. Hopefully this was helpful. I'm sorry if it is not as probability is a hard topic to explain.
:))))))))))))))))))))))))))
y= -5x + 12
y = -5x – 7
Answer:
19
Step-by-step explanation:
1. y= -5x + 12
y= -5x – 7
2. -5x + 12
-(-5x – 7)
3. -5x + 12
5x + 7
0 +19
4. 19
6. Write an equation that represents the
number below.
Answer:
0-4+3
Because
It
Is
Ok
Cool
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
Which of the following is another way to label Plane J?
Select one: Plane h Plane
ABD Plane EFG Plane ADF
Check
Plane ADF is another way to label Plane J.
In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.
These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.
Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.
Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.
Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.
Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.
Therefore, Plane ADF is another way to label Plane J.
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Why is it important to know the suface area or the volume of a rectagular prism?
Answer:
Because you can know how much liquid could be held or how much items can be contained inside. the formulas can also help you with other shapes.
Step-by-step explanation:
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
I NEES HELP STATISTICS
There is a mother-daughter tea that will be attended by 20 mother-daughter pairs, including the hosts. The rules of conduct are very strict; the host mother-daughter will greet everyone, all the guest mothers will greet everyone, and all the guest daughters will greet all the mothers only. How many greetings will there be?
In total, the number of greetings will be 1159.
Why do you use the term "numbers"?Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.
The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.
The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.
The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.
In total, the number of greetings will be 38 + 760 + 361 = 1159.
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I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator