Most of the people in a certain village called beleafe where much tobacco is grown bought vehicles after tobacco sales however no sooner than later many of the vehicles either broke down or they where parked at home since fuel became expensive to afford.as a student of chemistry develop a message for the cars owner explaining why the vehicles should be kept well even if they are spoilt, where they should be kept and what kind of changes they under go if not properly kept well.

Answer:

A

Step-by-step explanation:

We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.

We will use simple interest formula to solve our given problem.

I= prt

i= amount of interest

p=principal amount

r= interest rate in decimal form

t= time in years

4.1%=  41/100= 0.041

$16,500 times 0.041 -  $15,000 times 0.041

(16,500- 15,000) times 0.041

(1,500) times 0.041

So the answer is $61.50

I hope this is right, have a nice day.

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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To calculate the number of ways to form a team of 5 and a team of 6 from a class of 11 students without considering specific assignments such as jerseys, we can use combinations. So, there are also 462 ways to form a team of 6 from the same class of 11 students.

The number of ways to choose a team of 5 from 11 students can be calculated using the combination formula:

C(n, k) = n! / (k! * (n - k)!)

Where n is the total number of students and k is the number of students in the team. In this case, n = 11 and k = 5.

C(11, 5) = 11! / (5! * (11 - 5)!)

        = 11! / (5! * 6!)

        = (11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)

        = 462

Therefore, there are 462 ways to form a team of 5 from a class of 11 students.

Similarly, the number of ways to form a team of 6 can be calculated:

C(11, 6) = 11! / (6! * (11 - 6)!)

        = 11! / (6! * 5!)

        = (11 * 10 * 9 * 8 * 7 * 6) / (6 * 5 * 4 * 3 * 2 * 1)

        = 462

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Answer: b =50°

Step-by-step explanation:

The angles on a straight line =180°

180° = 50°+90°+b

180°-50°-90°=b

50° = b

Answer:

Step-by-step explanation:

∠b + ∠a + 50° = 180°

∠b + ∠90 + 50° = 180°

∠b = 180° - 90° - 50° = 40°

Answer:

\(\dfrac{6x+2}5}\)

Step-by-step explanation:

The given expression is :

\(\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}\)

We need to write the equivalent expression for the above expression.

Taking like terms together,

\(=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}\)

So, the equivalent expression is \(\dfrac{6x+2}5}\).

The beetle population, growing linearly, has an explicit formula P(n) = 3 + 10n, and it will take 18 weeks for the population to reach 183.

(a) To find an explicit formula for the beetle population after n weeks, we can use the information given in the problem. Since the growth model is linear, we can assume that the population increases by a constant amount each week.

Let's denote the population after n weeks as P(n). We know that P(0) = 3 (initial population) and P(10) = 103 (population after 10 weeks).

Since the population increases by a constant amount each week, we can find the growth rate (or increase per week) by taking the difference in population between week 10 and week 0, and dividing it by the number of weeks:

Growth rate = (P(10) - P(0)) / 10 = (103 - 3) / 10 = 100 / 10 = 10

Therefore, the explicit formula for the beetle population after n weeks can be written as:

P(n) = P(0) + (growth rate) * n

P(n) = 3 + 10n

(b) To find how many weeks it will take for the beetle population to reach 183, we can set up an equation using the explicit formula and solve for n:

P(n) = 183

3 + 10n = 183

Subtracting 3 from both sides:

10n = 180

Dividing both sides by 10:

n = 18

Therefore, it will take 18 weeks for the beetle population to reach 183.

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(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.

Let the unkown number be x.

Now according to the given question.

If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.

⇒  (x + (-16))2 = x - 1

⇒ 2x - 32 = x - 1

⇒ 2x - x = -1 + 32

⇒ x = 31

Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.

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The expression for division that gives a result of 26 is E = 52/2.

We need to find an expression. The expression must represent the division operation. The division is an arithmetic operation. The result of the division must be equal to 26. Let the expression be represented by the variable "E". The variable should be in the form of a rational number.

E = y/x

26 = y/x

y = 26x

We have to find one set of values for the variables that satisfy the above equation. Let us assume that the value of x is 2. Then the value of y is calculated below.

y = 26*2

y = 52

So, the values of the numerator and the denominator are 52 and 2, respectively.

Hence, the expression is 52/2.

The complete question is given below.

Write an expression for a division that gives a result of 26.

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer:

55

Step-by-step explanation:

62+63=125

180-125=55

The boat will coast a total distance of approximately 40/ln(0.5)/(-10) ft.

To solve this problem, we can use the concept of exponential decay. If we let v(t) be the velocity of the boat as a function of time t, then we can write the differential equation that describes its motion as:

dv/dt = -kv(t)

where k is the proportionality constant between resistance and velocity. We can separate variables and integrate both sides to get the velocity as a function of time:

∫(dv/dt) = -k∫(v(t))dt

v(t) = Ce^(-kt)

where C is an arbitrary constant of integration. We can use the initial condition v(0) = 40 ft/s to find C:

C = 40

So the velocity of the boat as a function of time is:

v(t) = 40e^(-kt)

We can use the condition v(10) = 20 ft/s to solve for k:

20 = 40e^(-10k)

Taking the natural logarithm of both sides:

ln(0.5) = -10k

k = ln(0.5)/(-10)

Next, we can use the velocity as a function of time to find the distance traveled by the boat:

∫(v(t))dt = ∫(40e^(-kt))dt = 40/k * (1 - e^(-kt))

Let's call the total distance traveled by the boat "D". Then we can write:

D = 40/k * (1 - e^(-kt))

We can plug in the value of k we found earlier and evaluate the expression at t = ∞:

D = 40/ln(0.5)/(-10) * (1 - e^(-∞)) = 40/ln(0.5)/(-10)

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Answer:

The mode is the number that appears the most.

Therefore the answer is 7.

Answer:

7

Step-by-step explanation:

the mode is the number that appears the most in a data set. In this data set the number that appears the most is 7.

(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.

(b)The probability that the selected individual owns shares in a bond fund is 26%.

(c)The probability that the selected individual does not own shares in a stock fund is 57%.

(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.

(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:

Short bond: 14%

Intermediate bond: 7%

Long bond: 5%

Total bond funds: 14% + 7% + 5% = 26%

So, the probability that the selected individual owns shares in a bond fund is 26%.

(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:

Moderate-risk stock: 25%

High-risk stock: 18%

Total stock funds: 25% + 18% = 43%

So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.

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--The question is incomplete, answering to the question below--

"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.

Money-market 23%

High-risk stock 18%

Short bond 14%

Moderate-risk stock 25%

Intermediate bond    7%

Balanced 8%

Long bond 5%  

A customer who owns shares in just one fund is randomly selected.

(a)What is the probability that the selected individual owns shares in the balanced fund?

(b) What is the probability that the individual owns shares in a bond fund?

(c) What is the probability that the selected individual does not own shares in a stock fund?"

Answer:

15×2

Step-by-step explanation:

5×+2/(5× +1) =15×2^

The steps below show how I would explain how to circumscribe a circle about a triangle to my younger brother/sister, parent or friend.

To circumscribe a circle about a triangle, the first thing we must do is to find a way to get the centroid of that triangle after which we will use that to draw a circle that passes the 3 vertices of the triangle. The steps are as follows;

Step 1: Construct the perpendicular bisector of one side of the given triangle.

Step 2: Construct the perpendicular bisector of another side of the given triangle.

Step 3: Where the perpendicular bisector crosses will be the center of the Circumscribed circle.

Step 4: Place the compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle.

Thus, the above steps show how I would explain how to circumscribe a circle about a triangle to my younger brother/sister, parent or friend.

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Answer:

Magnesium

Step-by-step explanation:

Periods are vertical and Groups are Horizontal

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Answer: To solve the equation 2X = X + 5, we can start by isolating X on one side of the equation by subtracting X from both sides:

2X - X = X + 5 - X

X = 5

Therefore, X = 5 is the solution of the equation 2X = X + 5.

Step-by-step explanation:

The solution for x in the equation 2x = x + 5 is obtained by isolating the variable x, leading to the answer x = 5.

To solve for x in the equation 2x = x + 5, you need to isolate x. Start by subtracting x from both sides of the equation to get 2x - x = x + 5 - x which simplifies to x = 5.

The procedure used here is a standard method in algebra known as isolating the variable. This means the objective is to get the variable (x in this case) alone on one side of the equation.

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Answer:

180 tablespoons

Step-by-step explanation:

240×.25=60

240-60=180

Answer:

180

Step-by-step explanation:

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

Answer: A. the probability that a randomly selected horse owner will feed grass hay in the A.M.and alfalfa in the P.M.

Answer:

Step-by-step explanation:

15 divided by 15 is 1

3.45 divided by 15 is 0.23

The cost per ounce is 23 cents, or $0.23

The statements that are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent are:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

F. All columns of the matrix A are pivot columns.

Let's examine each option to see why they are equivalent:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

This statement is equivalent to linear independence because it states that the only way for the linear combination of the vectors to equal the zero vector is if all the weights are zero. In other words, there are no nontrivial solutions to the equation c₁v₁ + c₂v₂ + ... + cₚvₚ = 0, where c₁, c₂, ..., cₚ are the weights.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

This statement is also equivalent to linear independence because it states that the only solution to the equation is the trivial solution where all the variables x₁, x₂, ..., xₚ are zero. In other words, there are no nontrivial solutions to the homogeneous system of equations represented by the vector equation.

F. All columns of the matrix A are pivot columns.

This statement is equivalent to linear independence because it implies that every column of the matrix A is a pivot column, meaning that there are no free variables in the corresponding system of equations. This, in turn, implies that the only solution to the homogeneous system Ax = 0 is the trivial solution, making the set of vectors linearly independent.

The other options (C and E) are not equivalent to the statement that a set of vectors is linearly independent:

C. There are weights, not all zero, that make the linear combination of vi, ..., vp the zero vector.

This statement describes linear dependence rather than linear independence. If there are non-zero weights that result in the linear combination of the vectors equaling the zero vector, it means that the vectors are linearly dependent.

E. The matrix equation Ax = 0 has only the trivial solution.

This statement is related to the linear dependence of the columns of the matrix A rather than the linear independence of the vectors (v1, ..., vp). It refers to the homogeneous system of equations represented by the matrix equation and states that the only solution is the trivial solution, implying that the columns of A are linearly independent. However, it does not directly correspond to the linear independence of the original set of vectors.

In summary, the statements A, B, and F are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent.

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Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)

Step-by-step explanation:

Answer:

Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Answer:

Step-by-step explanation:

(-3, 2) and (2, -3)

(-3 - 2)/(2 + 3) = -5/5 = -1

answer is b

Answer:

-3

Step-by-step explanation:

2 - (-4)       6

----------- = ----- = -3

6 - 8          -2

Answer:Option(a)

Step-by-step explanation: A) 2 of 15