Please help!

Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.

To the nearest cent, how much will he have in 4 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answer: 84 m

Step-by-step explanation:

To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

5628 / 67 = 84

This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.

67 x 84 = 5628.

Thus, the length of the pool is 84 m.

The sides length of the square is 3 units, then the perimeter of the square is 12 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

\(\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3\)

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

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Answer:

3rd one thank you let me know if u got it rigbt

The cost of one square foot of sheet metal is $ 30.00.

Total number of sheets purchased by a contractor = 8.2 square feet

Number of sheets used = 2.1 square feet

Remaining sheet value = $ 183

Assume price per square foot of sheet = $ w

Sheets left now = Total number of sheets purchased - Number of sheets used

= 8.2 square feet - 2. 1 square foot = 6.1 square feet

So the value of the remaining 6.1 square foot sheet is $ 183.

⇒ The value of 1 square foot sheet = $ 183 / 6.1 square feet

or, w = $  30.00

Thus, each square foot of the sheet costs $ 30.00.

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To find the probability that x < 7/9, where x and y are randomly chosen from the interval [0,1].

Here are the following steps:
1. Since x and y are chosen independently, we'll focus on x first. The interval for x is [0,1], and we want to find the probability that x lies in the interval [0, 7/9].

2. The interval for x has a length of 7/9 - 0 = 7/9. The interval for y is [0,1] with a length of 1.

3. Since the probabilities are uniform, the probability that x < 7/9 is simply the length of the desired interval (7/9) divided by the total length of the interval for x (1), which is:
P(x < 7/9) = (7/9) / 1 = 7/9.
Since the choice of y doesn't affect this probability, the answer is:

The probability that x < 7/9 when x and y are chosen independently from the interval [0,1] is 7/9.

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Answer:

l

Step-by-step explanation:

j

In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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Answer:

Slope is technically 1, because it implies that it's going up one and over to the right one. Also in slope-intercept form it would look like this

y = x + 1.

Step-by-step explanation:

Hope this makes sense :)

Answer: d, f

explanation:

Answer:

Small bag: 1kg cost 200.00p

Large bag: 1kg cost £1.90

Step-by-step explanation:

Small bag: A 200 g bag costs 40p

Medium bag: A 1 kg bag costs £1.80.

Large bag: A 2 kg bag costs £3.80.

Calculate the cost of 1 kg for the small and large bags.

Small bag: A 200 g bag costs 40p

200g cost 40p

1 gram cost 40/200

1 gram = 0.2 p

1000 g = 1kg

1kg cost = 0.2p × 1000

= 200.00p

Small bag: 1kg cost 200.00p

Large bag: A 2 kg bag costs £3.80.

Cost of 1kg = cost of 2kg bag / 2

= £3.80 / 2

= £1.90

Large bag: 1kg cost £1.90

Given that, the Total number of students = 18

Number of students who can play guitar and piano (Common)

= 1/3 × 18

= 6

Number of students who can play only guitar = 6

The number of students who cannot play any of the instruments = 4

Now, let us calculate the number of students who can play only the piano.

Let this be x.

Number of students who can play only the piano = Total number of students - (Number of students who can play both guitar and piano + Number of students who can play only guitar + Number of students who cannot play any of the instruments)

Therefore,

x = 18 - (6 + 6 + 4)

x = 18 - 16x

= 2

Therefore, 2 students can play only the piano.

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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If \(x=0\), then \(y=a\cdot0^2+b\cdot0+c=5\), so \(c=5\).

If \(x=1\), then \(y=a\cdot1^2+b\cdot1+c=2\), so \(a+b+5=2\) or \(a+b=-3\).

If \(x=2\), then \(y=a\cdot2^2+b\cdot2+c=1\), so \(4a+2b+5=1\) or \(2a+b=-2\).

We have

\(a+b=-3\implies -a-b=3\)

\((2a+b)+(-a-b)=-2+3\)

\(\implies a=1\implies b=-4\)

So we end up with

\(a+b+c=1+(-4)+5=\boxed{2}\)

without additional information, we cannot determine the exact dimensions of the rectangle with the maximum area.

To find the rectangle with the maximum area among all rectangles with a perimeter of 33, we need to consider the relationship between the width and length of the rectangle.

Let's denote the width of the rectangle as w and the length as l. The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

Given that the perimeter is 33, we can write the equation:

\(33 = 2(l + w)\)

Simplifying the equation, we have:

\(l + w = 16.5\)

To find the objective function in terms of the width, we need to express the area of the rectangle, A, as a function of w. The area of a rectangle is given by the formula:

Area = length × width

Substituting l = 16.5 - w (from the perimeter equation) into the area formula, we get:

\(A = (16.5 - w) *w\)

\(A = 16.5w - w^2\)

Therefore, the objective function in terms of the width, w, is A = 16.5w - w^2.

The interval of interest for the width, w, will be determined by the constraints of the problem. Since the width of a rectangle cannot be negative, we need to consider the positive values of w. Additionally, the sum of the width and length must be equal to 16.5, so the maximum value of w will be half of that, which is 8.25. Therefore, the interval of interest for the objective function is 0 ≤ w ≤ 8.25.

To find the rectangle that has the maximum area, we need to find the value of w within the interval [0, 8.25] that maximizes the objective function \(A = 16.5w - w^2\). To determine the length of the rectangle, we can use the equation l = 16.5 - w.

To find the exact value of w that maximizes the area, we can take the derivative of the objective function A with respect to w, set it equal to zero, and solve for w. However, since the dimensions were not specified, we cannot determine the specific length and width of the rectangle that has the maximum area without further information.

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Answer: Irrational, because it is not a terminating or repeating decimal .

Step-by-step explanation: The square root of 35 is 5.916079 and more numbers that go on and on.

P.D. Hope this helps!

Answer:

the answer is 10 the other dude is right

Step-by-step explanation:

Answer:

10

Step-by-step explanation:i just took the test and got it right :)

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Explanation:

The ASA indicates that the side (S) is between the two angles (A). The order is important. For the bottom triangle, the side between the red angles is segment ST. The upper triangle has the segment UX between the red angles. If we know that ST = UX, then we can use the ASA rule to prove the triangles are congruent.

Side note: ST = UX is the same as UX = ST. Furthermore, ST is the same as TS, and UX is the same as XU. So there are a few ways to fill in that blank.

Answer:

x - y = 0

Step-by-step explanation:

The given line is y = x.

We could re-write this as x - y = 0, which is in general form.

Answer:

a. The length of the box = (40 - 2·x) cm

The height of the box = x cm

The width of the box = (25 - 2·x) cm

b. The formula for the volume of the box as a function of x is 4·x³ - 130·x² + 1000·x

c. The value of x that would maximize the volume of the box is x = 5 cm

d. The largest volume of the box is 2250 cm³

Step-by-step explanation:

a. The given parameters are;

The length of the cardboard = 40 cm

The width of the cardboard = 25 cm

The length of the box = (40 - 2·x) cm

The height of the box = x cm

The width of the box = (25 - 2·x) cm

b. The formula for the volume of the box = The area of the base of the box × Height of the box

The area of the base of the box =  (40 - 2·x) × (25 - 2·x) = 1000 - 80·x - 50·x + 4·x²

∴ The area of the base of the box = 4·x² - 130·x + 1000

The height of the box = x

The volume of the box = (4·x² - 130·x + 1000) × x = 4·x³ - 130·x² + 1000·x

The volume of the box in terms of x, V = 4·x³ - 130·x² + 1000·x

c. At the extremum point, dV/dx = 12·x² - 260·x + 1000 = 0

x = (260 ± √((-260)² - 4 × 12 × 1000))/(2 × 12)

x = (260 ± 140)/(24)

x = 5 or x = 16.\(\bar 6\)

At x = 5, the volume of the box is V = 4×5³ - 130×5² + 1000×5 = 2250

The volume of the box is V = 2250 cm³

At x = 16.67, the volume is 4×16.67³ - 130×16.67² + 1000×16.67 = -925.\(\overline {925}\)cm³

Therefore, the value of x that would maximize the volume of the box is x = 5 cm

d. The largest volume of the box is 4×(5 cm)³ - 130×(5 cm)² + 1000×(5 cm) = 2250 cm³.

Answer:

Step-by-step explanation:

y = 2x - 5

Slope of line is 2.

Slope of any parallel to the line is also 2.

You chose y = 3x - 5, which has a slope of 3.

Point-slope equation for line of slope 2 passing through (3,9):

y-9 = 2(x-3)

The answer choices are all in slope-intercept form, so rearrange the equation.

y = 2x - 6 + 9 = 2x + 3

Answer:

6/10 or 3/5

Step-by-step explanation:

You only want/need to make 3/5 of the recipe!

12

12 times ten is 120

Answer: 12 groups of ten makes it 120

Step-by-step explanation:

here one group consists of ten.

and to make 120 we will need 12 groups of ten.

According to the binomial distribution, there are 13 questions should the student expect to answer correctly.

Binomial distribution:

in statistics, binomial distribution refers the probability of getting a success must remain the same for the trials we are investigating.

Given,

A quiz consists of 24 questions. each question has 4 answer choices with exactly one correct answer. a student is completely unprepared for the quiz, so he guesses on all 24 questions.

Here we need to find how many questions should the student expect to answer correctly.

While we looking into the given question, we have identified that the total number of questions is 24.

Number of options = 4

So, the probability of getting correct answer = 1/4 = 0.25

The probability of getting incorrect answer is,

=> 1 - 1/4 = 3/4 = 0.75

So, based on the binomial distribution,

X ~ Binomial Distribution (m=25, p=0.25, q=0.75)

Then in probability it can be written as,

=> P (X=13) = (25C13)x ((0.25)¹³) x ((0.75)¹²)

=> P (X=13) = 0.00245461663

Therefore, the number of correct answers is 13.

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Answer:

2

Step-by-step explanation:

Given equation 3 = 3 is an identity, so it has infinite solutions.

Consider the given mathematical equation 3 = 3

We need to check whether the given mathematical equation has solution or not.

We know that a statement 3 = 3 's true no matter what.

We can observe that for given statement 3 = 3, there's no variable in sight.

This means, 3 = 3 must has infinite solutions.

We know that an equation which is always true, no matter what values we substituted is called as an identity.

This equation is an identity, all real numbers are solutions.

Therefore, the equation 3 = 3 have infinitely many solutions.

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The period of the sine wave is 20 s

The period of a sine wave is the time it takes the wave to complete one cycle of oscillation

To determine the period of the wave, we prceed as follows.

The period of the wave, T is the time interval between two consecutive maximum points of the wave.

So, from the graph, the first maximum point is at t = 1 s.

Also, the next maximum point is at t' = 21 s

So, the period , T = t' - t

= 21 s - 1 s

= 20 s

So, the period is 20 s

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I) f is continuous at x=2

II) f is differentiable at x=2

These both f (function ) are true

The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.

Using this information, we can make the following conclusions:

I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.

II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.

III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.

Therefore, the correct answers are II and III.

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