1. A buyer worries that the car will be worth nothing in three years. Do you agree? Explain your reasoning)
Answers
The value of the car after 3 years will be $5,333.333.
Every year, the car loses one-third of its value.
So, if the car's initial value is x.
After one year, the car's new value will be:
(1 year) value = x - (1/3) * x = (2/3) * x
After another year, the value will be as follows:
Value (2 years) = (2/3) * x - (1/3) * (2/3) * x = x * (2/3)^2
We can tell right away that this is an exponential decay.
(Therefore, this is not a linear relationship.)
The value equation will be as follows as a function of the number of years:
Value(N) = x * (2/3)^N
If the original cost of a car is $18,000 and we want to know its worth after three years, we must substitute x with $18,000 and N with three in the previous equation:
Value(3) = $18,000 * (2/3)^3 = $5,333.333.
Thus, the value of the car after 3 years will be $5,333.333.
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Related Questions
For any confidence level C, the value of the sample proportion will always be considered a plausible value for p. (a) True (b) False
Answers
For any confidence level C, the value of the sample proportion will always be considered a plausible value for p is a true statement.
For any given confidence level, the sample proportion of a given sample will always be within the range of values that are considered plausible for the population proportion. This range is determined by the confidence interval, which is calculated based on the confidence level C. Thus, the sample proportion will always be considered a plausible value for p.
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You decide to go on a 4 day backpacking trip. The first day you walk 8 miles at northeast, on the second day, you walk 4 miles at eastsouth, and on the third day you walk 3 miles at southwest. On the fourth day you need to head straight back to your car. How far do you have to walk, and in what direction
Answers
Answer:5
Step-by-step explanation:
Where the above parameters are given, you need to walk a distance of approximately √41 miles back to your car.
How to compute the aboveTo calculate the total distance you need to walk, you can use the Pythagorean theorem since you have a right triangle formed by the north and east displacements.
Distance = √((Distance north)² + (Distance east)²)
= √((5 miles)² + (4 miles)²)
= √(25 miles + 16 miles)
= √41 miles
Hence, you need to walk a distance of approximately √41 miles back to your car.
As for the direction, based on the net displacements, you are 5 miles north and 4 miles east of your car, so the direction would be a combination of north and east, often referred to as northeast.
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Need help a lot stuck
Answers
The answer is A
ok done. Thank to me :>
A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Answers
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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solve the equation x-23=18
Answers
Answer:
x = 41
Step-by-step explanation:
x-23=18
Add 23 to each side
x-23+23=18+23
x =41
2
Select the correct answer.
Ray should consume 2,000 calories every day. He consumes 1,735 calories to get essential nutrients. What is Ray's discretionary calorie
allowance?
OA 115 calories
B. 265 calories
O c. 1,735 calories
OD. 2,000 calories
Answers
Answer:
2000-1735= discretionary amount Hencd your answer is 265Answer:
B
Step-by-step explanation:
2,000 - 1,735= 265
1,735+ 265= 2,000
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
Answers
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
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a ball has a volume of 2 cubic inches .use the fact that l inch is equal to 2.54 cm to convert this volume to cubic centimeters
Answers
Answer:
32.77 cm³
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume of ball (in in³) = 2 in³
Volume of ball (in cm³) =.?
From the question given above, we were told that:
1 in = 2.54 cm
Therefore,
1 in³ = 2.54³ cm³
Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:
1 in³ = 2.54³ cm³
Therefore,
2 in³ = 2 in³ × 2.54³ cm³ / 1 in³
2 in³ = 32.77 cm³
Thus, 2 in³ is equivalent to 32.77 cm³
Mary Stahley invested $2500 in a 36-month certifi- cate of deposit (CD) that earned 8.5% annual simple interest. When the CD matured, she invested the full amount in a mutual fund that had an annual growth equivalent to 18% compounded annually. How much was the mutual fund worth after 9 years?
Answers
9514 1404 393
Answer:
$13,916.24
Step-by-step explanation:
First, we need to find the value of the CD at maturity.
A = P(1 +rt) . . . . simple interest rate r for t years
A = $2500(1 +0.085·3) = $2500×1.255 = $3137.50
__
Now, we can find the value of the account with compound interest.
A = P(1 +r)^t . . . . . rate r compounded annually for t years
A = $3137.50 × 1.18^9 = $13,916.24
The mutual fund was worth $13,916.24 after 9 years.
What is the northerly Component of a wind blowing at 15ms from the South East?
Answers
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
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six friends share 4 apples equally. How much apples does each friend friend get?
Answers
would someone mind looking over my answers to geometry!!
Answers
Answer:
Question 1: x = 6
Question 2: Correct!
Question 3: x = 11
Question 4: Correct!
Step-by-step explanation:
Question 1:
Angle 22x - 2 DOESN'T equal 50 degrees. Only Alternate Interior Angles will equal each other. These two angles are Same Side Interior Angles, meaning if you added them together, they would equal 180 degrees.
Knowing that adding 22x - 2 and 50 will equals 180 degrees, here's how we solve for x:
First, subtract 50 from 180 to find what angle 22x - 2 will equal:
180 - 50 = 130
130 = 22x - 2
Now use basic algebra to solve for x:
130 = 22x - 2
(add 2 to both sides)
132 = 22x
(divide both sides by 22)
x = 6
Question 3:
Angle 5x + 15 DOESN'T equal 9x + 11. They make up a line, which is 180 degrees, so they are supplementary angles.
With that in mind, to solve for x, add the two equations and set it equal to 180:
5x + 15 + (9x + 11) = 180
Now use basic algebra to solve for x:
5x + 15 + 9x + 11 = 180
(add like terms)
14x + 26 = 180
(subtract 26 from both sides)
14x = 154
(divide 14 from both sides)
x = 11
Hope it helps (●'◡'●)
Determine whether the variable is qualitative or quantitative. Model of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because it is an attribute characteristic. B. The variable is qualitative because it is an attribute characteristic. C. The variable is qualitative because it is a numerical measure.
D. The variable is quantitative because it is a numerical measure.
Answers
A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.
The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.
Therefore, option B is the correct answer.
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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
What is a qualitative variable?A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.
The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.
Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
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Karissa had 48 t-shirts. Exactly 58 of Karissa's shirts were blue. Karissa gave 13 of her blue t-shirts to her friend Amy. What fraction of Karissa's t-shirts were blue after she gave the shirts to Amy?
Answers
Step-by-step explanation:
What did the Rana rulers do to please the British rulers?
Can somebody help? Asap
Answers
9 x 15 =135 + 8= 143
143+37 =180 degrees
At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual interest, compounded monthly, and paid into the account at the end of the month. How much is in the account if deposits are made for 10 years?
Answers
Answer:
this one hard
Step-by-step explanation:
Based on the pattern, what are the next two terms of the sequence?
Answers
Answer:
33 , 39
Step-by-step explanation:
given
9 , 15 , 21 , 27
there is a common difference between consecutive terms, that is
15 - 9 = 21 - 15 = 27 - 21 = 6
to obtain terms in the sequence add 6 to the preceding term
27 + 6 = 33
33 + 6 = 39
the next two terms are 33 and 39
15-9=6
21-15=6
27-21=6
That means we are adding 6 at every step. Therefore the next two elements must be
27+6=33 and 33+6=39
Activity
Each month, Stacey places a portion of her earnings in a retirement account. Her savings are invested in two companies. For every $9 invested in company A, $2 is invested in company B. Stacey quizzes her children, Krista and Kevin, about how much money she will invest in company A if she invests $24 in company B.
Krista and Kevin used two different methods to arrive at the answer to Stacey’s problem. Let’s see who found the correct answer and how. You’ll answer some questions along the way.
Part A
What is the ratio of the amount invested in company A to the amount invested in company B? Write the answer as a fraction using the values given. Do not include any variables.
Answers
the ratio of the amount invested in company A to the amount invested in company B is 9:2 or simply say 9/2 fraction.
What is the ratio of the amount?Based on the information in the question, for every $9 invested in company A, $2 is said to be invested in company B. So, from the above, the ratio of the amount invested in company A to the amount invested in company B can be written aa:
$9 : $2
One can express this ratio as a fraction, and thus it is written as:
9/2
Therefore, the ratio of the amount invested in company A to the amount invested in company B is 9/2.
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How many times 9 goes into 22
Answers
Explanation:
22 divided 9 equals 2.44
What is the authors purpose in writing a Christmas carol by Charles dickens
Answers
Answer:
He wanted his readers to realise that, if they continued to deny poor children the necessities of life – such as food, shelter, warm clothing, healthcare and an education – they would grow up to become dangerous, violent adults.
Find the total surface area of this pentagon
Answers
Answer:
Step-by-step explanation:
2(lb+bh+hl) is the formula for surface area. So,
2(54+81+54) = 2(189) which is 378.
I think the surface area is 378 square inches, or 378 in^2
The quotient of a number and -2/3 is -9/10. What is the number?
Answers
Answer:
It's 0.6
Step-by-step explanation:
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
Answers
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
Answers
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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Select all that apply.
Which symbols could be used to make the following statement true?
-22 ___ 3
Answers
What is the surface area?
Answers
Answer:
of what?
Step-by-step explanation:
You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $858. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $867. How much money did you invest in each fund?
Answers
The amount that was invested in the first fund is $8300.
The amount that was invested in the second fund is 3700.
What are the linear equations that represent the question?0.09a + 0.03b = $858 equation 1
0.1a + 0.01b = $867 equation 2
Where:
a = amount invested in the first fund b = amount invested in the second fund How much was invested in the second fund?Multiply equation 2 by 0.9:
0.09a + 0.009b = 780.30 equation 3
Subtract equation 1 from equation 3
0.021b = 77.70
Divide both sides by 0.021
b = $3700
How much was invested in the first fund?
Substitute for b in equation 1: 0.09a + 0.03(3700) = $858
0.09a + 111 = 858
a = (858 - 111) / 0.09
a = $8300
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34 divided by 523.6
Answer plz
Answers
Answer:
0.0649350649350649
Step-by-step explanation:
Answer: 0.06493506493
Step-by-step explanation:
A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
Answers
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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Prove the following
please help
Answers
Step-by-step explanation:
5. I assume you mean this:
(cos²x / sin x) + sin x
Add using common denominator.
(cos²x / sin x) + (sin²x / sin x)
(cos²x + sin²x) / sin x
Use Pythagorean identity.
1 / sin x
csc x
6. tan²x cos²x
Write tangent in terms of sine and cosine.
(sin²x / cos²x) cos²x
Simplify.
sin²x
Use Pythagorean identity.
1 − cos²x