I will mark brainliest for the best answer. I will also report bad answers. 100 points for good answers!

An investment portfolio is shown below.

Investment Amount Invested ROR
Savings Account $3,200 2.1%
Municipal Bond $4,900 4.5%
Preferred Stock $940 10.5%
Common Stock A $1,675 −3.5%

Using technology, calculate the weighted dollar amount of the savings account.
A) −$58.63
B) $58.63
C) −$67.20
D) $67.20

In mathematics, the empirical rule speaks that, in a normal data set, nearly every piece of data will fall within three standard deviations of the mean. The mean is the average of all of the numbers within the set.

The empirical rule advance about because the same shape of distribution curves continued to appear over and over to statisticians.

approximately normal, meaning that the data follows a bell-shaped curve regular around the mean.

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

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So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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Answer:

C

Step-by-step explanation:

candy = c. and Isabelle has five fewer meaning to subtract from the amount destiny has (c)

Answer: 5

Step-by-step explanation:

We can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

Given is to write a function that represents the arithmetic sequence.

       {a, a + d, a + 2d, a + 3d, .....}.

       {2, 4, 6, 8, 10, 12, ....}.

Therefore, we can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

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Answer:

w≥2

Step-by-step explanation:

Subtract 2 from both sides

2 + 4w ≥ 10

2 -2 +4w ≥10 -2 and get:

4w≥8  and divide 8 both sides

and equals

w≥2

Answer:

y-187.50= 1.50(x-125)

this is in point slope, but in slope intercept it would be y=1.50x+0

Step-by-step explanation:

Answer:

\(y-187.50=1.50(x-125)\)

Step-by-step explanation:

Slope = $1.50

\(x=125\)

\(y=$187.50\)

Answer:

u=0

Step-by-step explanation:

True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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The total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program is equals to the 0.91 times amount before 7 months i.e. (0.91x).

What is recyclable material?

Material that has been salvaged or diverted from the non-hazardous solid waste stream in order to be reused, recycled, or recovered are recyclable material; a significant amount of which is regularly used in the production of goods that might otherwise be. created from raw resources.

For calculating the total change in tons of recyclable material we have to assume that the recyclable material without reduction is x tons.

And as given in question,

it is decreasing at the rate of -13% per month

Time duration is 7 month.

In order to calculate the total reduction in 7 month we will use the formula:

\(I = P \times R \times \frac{T}{100}\)

Where, I = reduction in 7 months

R = rate of reduction which is -13%

T = time duration which is 7 months.

Putting the value in the formula. We get,

\(I = x \times (-13) \times \frac{7}{100}\)

So, the reduction = (-0.91x) tons.

Therefore, the total change is 0.91x and the total tons after 7 months is x-0.91x ( where, x is the tons at the beginning).

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The sample size (n) is 5. This is because there are 5 samples in the data set, The data set contains 5 samples, each of which consists of the weight of 10 packets.

The sample size is the number of samples in the data set, and it is denoted by the letter n. In this case, n = 5.

The following is the data set:

Sample  X  R

1       44     9

2       40     2

3       46     5

4       39     8

5       48     3

The weight of each packet in the sample is denoted by the letter X. The range of each sample is denoted by the letter R. The range is the difference between the largest and smallest values in the sample.

The average range of the samples is 6 grams. This means that the average difference between the largest and smallest values in a sample is 6 grams.

The sample size is important because it is used to calculate the control limits for the x-chart and the R-chart. The control limits are used to determine whether the process is in control.

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To solve this problem, we simply need to convert the distance

Like we already established earlier, we just need to convert the distance unit from miles to inches

But given that

\(1mi = 63360in\)

Let us find how many inches will be in 65 miles.

In this case, simply multiply 65 by 63360 to find the actual distance in inches.

\(65 * 63360 = 4118400in\)

The distance on her map will be 4118400 inches on her map.

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Answer:

it would be A

Step-by-step explanation:

because 4x-7=1

x=2

4(2)-7=1

8-7=1

I hope this helps you

Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

The possible shapes of the base are a square and a rectangular base.

The volume of a pyramid depends upon the type of pyramid’s base, whether it is a triangle, square or rectangle. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is a poly sided figure.

Given here: A pyramid has a height of 8 inches and a volume of 120 cubic inches. Then we have volume of the pyramid as

120=l×b×8

l×b = 15

Therefore possible dimensions can be 7.5 &7.5 (Square base ) and 5×3 (rectangular base)

Hence, The possible shapes of the base are a square and a rectangular base.

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The equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

The area of the rectangle is the product of its length and its breadth.

As it is given that the length of the rectangular frame is (2x+10), while the width of the rectangular frame is (2x+6). Also, it is mentioned that the area of the rectangular frame is 140 in².

Now we know the area is the product of length and breadth, therefore,

\(\rm \text{Area of rectangle} = length \times breadth\)

\(140 = (2x+10)(2x+6)\\\\140 = 4x^2 + 12x + 20x + 60\\\\0=-140+4x^2 + 12x + 20x + 60\\\\4x^2 + 32 x -80=0\)

Hence, the equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

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Answer:

A.)  4x2 + 32x − 80 = 0

Step-by-step explanation:

Just took the test

Answer:

it's 273 ..

Step-by-step explanation:

the LCM of 27, 30 and 45 is 270.

adding up a 3 to it will give the smallest value of n. so 270 + 3 = 273.

umm .. hope it helps ?! fanks -

Answer:

p = 2

Step-by-step explanation:

First, simplify:

3p = 6

Then, divide 3 on both sides:

p = 2

Hope this helps ^^

Answer:

p=2

Step-by-step explanation:

add -p to 4p and you get 3p

then divide both sides by 3 to get p alone so you get p=2 bc 6/3=2

The change in distance between the two after 15 minutes is 2.124 mi/h.

Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:

Velocity = Distance / Time

If one walks east at 3 mi/h and the other walks northeast at 2 mi/h, then after 15 minutes, their distance will be:

Distance = Velocity × Time

Distance₁ = 3 mi/h (15 mins)(1 hour/60 mins)

Distance₁ = 0.75 mile east

Distance₁ = 2 mi/h (15 mins)(1 hour/60 mins)

Distance₁ = 0.5 mile northeast

Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people.

d² = (0.5 sin 45°)² + (0.5 cos 45° - 0.75)²

d² = 0.282

d = 0.531 mi

So, After 15 mins, the distance will be 0.531 mi and the change in distance in mi/h is:

(0.531 mi / 15 mins)(60 mins / hour) = 2.124 mi/h

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I apologize, I cannot visually perceive or manipulate colors or lines directly. However, if you provide me with the equations of the lines or any additional information about their slopes, I would be more than happy to help you match the slopes with the corresponding lines.

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To match the lines (l1, l2, l3) with their corresponding slopes, we need to assign letters representing the slopes to each set.

Without specific information about the lines l1, l2, and l3, it is not possible to determine the exact slopes or their corresponding letters. In order to match the lines with their slopes, we would need additional details such as the equations of the lines or the coordinates of points on the lines.

The slope of a line represents the rate at which the line changes vertically (y-axis) with respect to the horizontal (x-axis). It is typically denoted by the letter "m" in mathematical notation.

To accurately match the lines l1, l2, and l3 with their respective slopes, we require more information about the lines themselves. Once the equations or coordinates are provided, we can calculate the slopes using the formula for slope, which is the change in y divided by the change in x.

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Thus, the equation of line  parallel to given line and with passing points (-6, -4) is: y = -1/6 x - 10.

The slopes for perpendicular lines are the opposite reciprocals of the slopes of parallel lines, which are equal. It's a worked example of identifying the parallel or perpendicular nature of given lines.

The standard slope intercept form:

y = mx + c  ..eq 1

slope m and y intercept is c.

Given equation:

y = -1/6 x + 2 ..eq 2 on comparing eq 2 with eq 1

m = -1/6 and c is 2

Now, slope of two parallel lines are same.

Passing point = (-6, -4)

Equation of line:

y - y1 = m (x - x1)

y + 4 = -1/6( x + 6)

y = -1/6 x - 10

Thus, the equation of line  parallel to given line and with passing points (-6, -4) is: y = -1/6 x - 10.

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Answer:

I think its D.

Step-by-step explanation:

P is at sea level and R is below. Q is at sea level, so it's not above or below.

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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The arrow creates two pulses that scan the area, each lasting for one second. During each pulse, the arrow scans a 3-meter radius circle, meaning that the arrow scans a total of six meters.

Sova's Recon Bolt ability is a powerful tool that can be used to gather information about enemy movements and positions. When fired, the arrow will stick to any surface it hits and then deploy two pulses that scan the surrounding area. Each pulse lasts for one second, during which the arrow scans a 3-meter radius circle. This means that the arrow will cover a total area of six meters.

It's worth noting that the Recon Bolt's scanning ability is not perfect, and there are certain areas where enemies can hide and avoid detection. For example, enemies can hide behind walls or in small crevices where the arrow cannot scan. Additionally, players can destroy the arrow before it completes its scanning, which can prevent it from revealing enemy positions.

Overall, the Recon Bolt is a valuable tool for gathering information in Valorant, but it requires careful use and strategic placement to be effective. By understanding how the arrow scans the surrounding area, players can use it to gain a tactical advantage and outmaneuver their opponents.

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The expression that is equivalent to the (10a⁵b³) (5a⁶b²) is

(10 × 5) (a⁵⁺⁶)(b³⁺²).  

Equivalent expressions are two or more mathematical expressions that have the same value for all possible values of the variables in the expressions.

If we substitute the same values for the variables in two different expressions, and the values we get for each expression are always the same, then the two expressions are said to be equivalent.

Here we have

=> (10a⁵b³) (5a⁶b²)  

Which can be solved as follows

=> (10a⁵b³) (5a⁶b²)    

Multiply the coefficients of two terms

=>  (10 × 5) (a⁵b³) (a⁶b²)            

As we know aˣ × aᵇ = a⁽ˣ⁺ᵇ⁾  

=> (10 × 5) (a⁵ × a⁶) (b³ × b²)          

=> (10 × 5) (a⁵⁺⁶) (b³⁺²)        

Therefore,

The expression that is equivalent to the (10a⁵b³) (5a⁶b²) is

(10 × 5) (a⁵⁺⁶)(b³⁺²).        

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Complete Question in picture

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Answer:

team A scores more. sorry don't know how to explain it

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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Answer:

persepctive

Step-by-step explanation:

have a great day<3