Final answer:
To calculate the value of the car in 8 years with a constant yearly depreciation rate of 5.1%, we can use the formula for compound interest.
Explanation:
To calculate the value of the car in 8 years, we can use the formula for compound interest: A = P(1 - r/n)^(nt), where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, the initial amount is $9,250, the interest rate is 5.1%, and the number of times interest is compounded per year is 1. Plugging these values into the formula, we get:
A = 9250(1 - 0.051/1)^(1*8) = $6630.27
Therefore, the car will be worth approximately $6,630.27 in 8 years.
highest common factor of 24 and 56
which equation when graph has x intercepts at (2,0) and (4,0) and a y-intercept of (0,-16)?
A. F(x)= -(x-2)(x-4)
B. F(x)= -(x+2)(x+4)
C. F(x)=-2(x-2)(x-4)
D. F(x)= -2(x+2)(x+4)
Answer:
The answer is C. on Edgenuty.
The diagram contains contradictory information. Explain the contradiction.
A box contains four 40-W bulbs, five 60-W
bulbs, and six 75-W bulbs. If bulbs are se-
lected one by one in random order, what is
the probability that at least two bulbs must be
selected to obtain one that is rated 75W?
Answer: 0.99483
Step-by-step explanation:
Given : A box contains four 40-W bulbs, five 60-W bulbs, and six 75-W bulbs.
Total bulbs : 4+5+6=15
The probability of selecting a 75-W bulb :[tex]p=\dfrac{6}{15}=0.4[/tex]
Using the binomial probability :-
[tex]P(X)= ^nC_xp^x(1-p)^{n-x}[/tex], where P(x) is the probability of getting success in x trials , p is the probability of getting success in each trial and n is the total number of trials.
We have,
The probability that at least two bulbs must be selected to obtain one that is rated 75W :-
[tex]P(x\geq2)=1-(P(x<2))\\\\=1-(P(x=0)+P(x=1))\\\\=1-(^{15}C_0(0.4)^0(0.6)^{15}+^{15}C_{1}(0.4)^1(0.6)^{14})\\\\=1-((1)(0.6)^{15}+(15)(0.4)(0.6)^{14})\ \ [\because\ ^nC_0=1\ \&\ ^nC_1=n]\\\\\approx1-(0.00047+0.00470)\\\\=1-0.00517=0.99483[/tex]
Hence, the required probability = 0.99483
Original price is 45.00 and the markup is 57%
There are 24 children in a class, 16 brown-haired and 8 black-haired. Two students are randomly selected for a stage performance. Find the probability of the following selection. P(2 black haired children)
The daily dose of ampicillin for the treatment of an ear infection is 115mg/kg of body weight. what is the daily dose, in mg, for a 34-lb child? ...?
Pears cost $1.25 per pound. What is the cost of 4.5 pounds of pears
Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in the deposit? A) 6 five-dollar bills B) 28 five-dollar bills C) 32 five-dollar bills D) 34 five-dollar bills
10 POINTS!!!
Five added to 2 times a number is equal to 7 less than 4 times the number. What is the number?
A.
–3
B.
–6
C.
6
D.
3
The required number is 6.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Let the number be x.
Given that, 5 added to 2 times the number, x, is equal to 7 less than 4 times the number, which is:
2x + 5 = 4x - 7
2x - 4x = -7 - 5
-2x = -12
x = 12/2
x = 6
Hence, the required number is 6.
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A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?
smaller value? and larger value?
Which ratio is proportional to 10/24
A 20/36
B 5/8
C 35/84
D 5/6
A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
1] Find a function that models the total area of the four pens. (Let w be the width of the rectangular area and A(w) be the area.)
2]Find the largest possible total area of the four pens. (Round your answer to one decimal place.)
The function modeling the total area of the four pens is [tex]A(w) = w * ((750 - 3w) / 2)[/tex]. The maximum area can be found by taking the derivative of this function, setting it to zero, and solving for w.
Explanation:The subject in question is Mathematics, specifically calculus and problem-solving involving areas. The rancher with 750 ft of fencing intends to make a rectangular area divided into four pens. Let's define w to be the width and l to be the length of the rectangle.
1] Since the total length of the fence is 750 ft and it will be divided into 3 parts for the width and 2 parts for the length, the function for calculating length will be [tex]l = (750 - 3w) / 2[/tex]. Since the area of a rectangle is given by A=w*l, we can substitute our equation for l into our Area function. Therefore, our function will be [tex]A(w) = w * ((750 - 3w) / 2).[/tex]
2] To find the maximum area of the rectangles, you would need to find the derivative of the Area function and solve for w. After that, plug the value of w into the area function to get maximum area. The exact calculation requires calculus skills and could be taught in a high school Calculus course.
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Justin is considering two websites for downloading music.The costs are detailed here.
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Enter your equations in the boxes.
Website 1: ____
Website 2: ____
Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of 1000cm3?Compare the result with the result in example 2. ...?
Which of the following is the solution to the compound inequality below
The answer is, x> -31/15
49 % is what of 70 and why do you get the answer of my question.
For the demand equation, express the total revenue R as a function of the price p per item.
q = −5p + 500
R(p) = ?
The total revenue (R) can be expressed as a function of the price (p) per item by multiplying the price by the quantity demanded (q). Given the demand equation q = -5p + 500, the total revenue equation is R(p) = -5p^2 + 500p.
Explanation:The total revenue (R) can be expressed as a function of the price (p) per item by multiplying the price by the quantity demanded (q).
Given the demand equation q = -5p + 500, we can substitute q in the total revenue equation with -5p + 500:
R(p) = p * (-5p + 500)
Simplifying, we distribute p to both terms inside the parenthesis:
R(p) = -5p^2 + 500p
So, the total revenue (R) as a function of price (p) is R(p) = -5p^2 + 500p.
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Given: 2x + 3y = 6.
What is the y-intercept?
(0, 3)
(2, 0)
(0, 2)
no intercept
Answer:
(0 , 2) .
Step-by-step explanation:
Given : 2x + 3y = 6.
To find : What is the y-intercept.
Solution : We have given that 2x + 3y = 6.
y- intercept : Value of y on which x = 0.
Then x = 0
2 (0) + 3y = 6
0 + 3y = 6
On dividing by both side by 3
y = 2.
y - intercept is 2
Then (0 , 2)
Therefore, (0 , 2) .
If each can costs $23.97 plus 6% tax, what is the total cost? Round to two decimal places.
"Which of the following are remote interior angles of 5? Check all that apply.
A.1
B.2
C.3
D.4
E.5
F. 6"
Answer:
A. 1
B. 2
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find remote interior angles of angle 5 for our given triangle.
We can see that angle 5 is an exterior angle. We know that remote interior angles are those, which are inside the triangle and opposite to exterior angle.
We can see that angle 2 and angle 1 are are opposite angles of angle 5 and they are inside our given triangle.
Therefore, option A and B are correct choices.
Final answer:
Remote interior angles are non-adjacent angles within the same triangle. Relative to angle 5, angle 1 and angle 2 are remote interior angles because they are inside the triangle and do not share a vertex with angle 5.
Explanation:
In this mathematics problem, we are asked to find the remote interior angles of a given angle, which are angles that are inside the triangle and non-adjacent to the exterior angle being considered. For example, if we have a triangle with angles labeled 1, 2, 3, 4, 5, and 6, and we want to find the remote interior angles relative to angle 5, we would look for the angles inside the triangle that do not share a vertex with angle 5.
From the available options:
Angle 1 and angle 2 qualify as remote interior angles relative to angle 5 because they are non-adjacent to angle 5 and are within the same triangle.Angle 3 is adjacent to angle 5, so it is not a remote interior angle.Angles 4, 5, and 6 are not pertinent in this case because the question is specifically about the remote interior angles of angle 5, making angles 4 and 6 external to the triangle, whereas angle 5 is the angle in question itself.Therefore, options A (1) and B (2) are the correct answers to this problem.
Your friends borrowed 5 different movies from the library. In how many different orders can they watch the movies?
An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?
A. $8.50
B. $7.00
C. $7.70
D. $6.50 ...?
if you were ask to load 225 boxes onto a truck abd the boxes are crated, with each containing nine boxes how many creates would you need to load
In a 5 point star, what is the sum of the measure of angles A, B, C, D, and E, if each point of the star represent each angle? ...?
Sam decides to build a square garden. If the area of the garden is 9x2 − 24x + 16 square feet, what is the length of one side of the garden?
(3x + 4) feet
(3x − 4) feet
(4x − 3) feet
(4x + 3) feet ...?
Answer: The correct option is (B) [tex](3x-4).[/tex]
Step-by-step explanation: Given that Sam decides to build a square garden whose area is as follows:
[tex]A=9x^2-24x+16~\textup{square feet}.[/tex]
We are to find the length of one side of the garden.
Since the given garden is of a square shape, so the length of each side is same.
That is, the area of the garden must be a perfect square trinomial.
We have
[tex]A\\\\=9x^2-24x+16\\\\=(3x)^2-2\times 3x\times 4+4^2\\\\=(3x-4)^2.[/tex]
Since the area of a square is (length)², so the length of one side of the garden is [tex](3x-4)~\textup{feet}.[/tex]
Thus, (B) is the correct option.
Determine the value c so that each of the following
functions can serve as a probability distribution of
the discrete random variable
X:(a)
f(x) =c(x2+ 4), for x= 0,1,2,3;
(b)f(x) =c(choose x from2)(choose 3 from 3-x) for x= 0,1,2.
The value of c, which must be determined for a discrete random variable to serve as a probability distribution, should be 1/30 for the function f(x) = c(x^2 + 4) and 1/3 for the function f(x) = c(choose 2 from x)*(choose 3 from 3-x).
Explanation:The value of c for a probability distribution needs to be determined such that the total sum of the probabilities is equal to 1. For this, we need to calculate the sum of all possible outcomes and then normalize it to 1.
For the function f(x) = c(x2 + 4), where x = 0, 1, 2, 3, the total sum of the outcomes without the multiplying factor, c, is (02+4) + (12+4) + (22+4) + (32+4) = 4 + 5 + 8 + 13 = 30. The factor c then must be 1/30 for the probabilities to sum up to 1.For the function f(x) = c(choose 2 from x)*(choose 3 from 3-x), where x = 0, 1, 2, the total sum of outcomes without c is (choose 2 from 0)*(choose 3 from 3) + (choose 2 from 1)*(choose 3 from 2) + (choose 2 from 2)*(choose 3 from 1) = 0 + 0 + 3 = 3. Therefore, the factor c for this function must be 1/3.Learn more about Probability Distribution here:https://brainly.com/question/14210034
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How many times does 50,000 go into 374,000,000,000?
F = 9/5 C + 32 : is the formula used to convert degrees Celsius to degrees Fahrenheit. Convert 35°C to degrees Fahrenheit.
A) 36°F
B) 63°F
C) 67°F
D) 95°F
Converting 35°C to degrees Fahrenheit is equal to 95°F.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the formula F = (9/5)C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit.
Substituting C = 35°C into the formula:
F = (9/5) × 35 + 32
F = 63 + 32
F = 95°F
Therefore,
35°C is equal to 95°F.
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Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30
If x represents the number of quarters in the jar, what is an equation that can be used to find the number of quarters? &How many quarters and how many nickels are there? ...?