answer these two pls

1. Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.

2.Tim’s savings account pays a simple annual interest rate of 3.5%. Suppose he deposits $5,500 in the account and makes no additional deposits or withdrawals for 5 years. What will the total value of the account be after 5 years?

Answer:

The area of the rectangle on the left side is

\(9cm \: \times 4cm = 36 {cm}^{2} \)

The area of the bottom rectangle is

\(6cm \times 2cm = 12 {cm}^{2} \)

The total area of the composite figure will be

\(36 {cm}^{2} + 12 {cm}^{2} = 48 {cm}^{2} \)

Step-by-step explanation:

The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.

Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//

The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//

The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//

(a) The proportion of the area under the curve to the right of t = 2.015 is 0.05.

(b) The proportion of the area under the curve to the left of t = -3.365 is 0.005.

(c) The proportion of the area between t = -4.032 and t = 4.032 is 0.99.

(d) The value of t that cuts off the upper 2.5% of the distribution is 2.571.

The t distribution with 5 degrees of freedom is a symmetric, bell-shaped distribution that has more variability (i.e., fatter tails) than the standard normal distribution.

(a) The proportion of the area under the curve to the right of t = 2.015 can be found using a t-table or a statistical software program. Using a t-table, we find that the area to the right of t = 2.015 is 0.05. Therefore, the proportion of the area under the curve to the right of t = 2.015 is 0.05.

(b) The proportion of the area under the curve to the left of t = -3.365 can also be found using a t-table or a statistical software program. Using a t-table, we find that the area to the left of t = -3.365 is 0.005. Therefore, the proportion of the area under the curve to the left of t = -3.365 is 0.005.

(c) To find the proportion of the area between t = -4.032 and t = 4.032, we need to find the areas to the left of each value and subtract them. Using a t-table, we find that the area to the left of t = -4.032 is 0.005 and the area to the left of t = 4.032 is 0.995. Therefore, the proportion of the area between t = -4.032 and t = 4.032 is 0.995 - 0.005 = 0.99.

(d) To find the value of t that cuts off the upper 2.5% of the distribution, we need to find the t-value that corresponds to an area of 0.025 to the right of it. Using a t-table, we find that the t-value that corresponds to an area of 0.025 to the right of it is approximately 2.571. Therefore, the value of t that cuts off the upper 2.5% of the distribution is 2.571.

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The line of the best fit of the scatter plot is added as an attachment

The missing graph is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

Hence, the line of the best fit is attached

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Answer:

The total cost of the materials for the pillows is $172.37

Step-by-step explanation:

First, we need to calculate how many yards of each type of fabric Kelly needs to buy. She needs 2 linen pillows, which means she needs 22 = 4 yards of linen fabric.

She also needs 2 satin pillows, which means she needs 22 = 4 yards of satin fabric.

She also needs 1 faux fur pillow, which means she needs 12 = 2 yards of faux fur fabric.

The total cost of the linen fabric is 4*$13.12 = $52.48.

The total cost of the satin fabric is 4*$9.99 = $39.96.

The total cost of the faux fur fabric is 2*$14.99 = $29.98.

The total cost of the materials for the pillows is $52.48 + $39.96 + $29.98 = $122.42.

Finally, Kelly needs to buy 5 pillow inserts at $9.99 each, which means she needs to spend 5*$9.99 = $49.95 on pillow inserts.

The total cost of the materials for the pillows is $122.42 + $49.95 = $172.37.

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

The statement "Every edge of a nice tree T of a graph G with all edge costs being distinct satisfies the bottleneck property T is a minimal nice tree" can be proven to be true.

This means that if every edge in a nice tree has the bottleneck property, then the tree is minimal. Conversely, if a tree is minimal, then every edge in that tree satisfies the bottleneck property.

To prove the equivalence, we need to show two things: (1) if every edge in a nice tree T satisfies the bottleneck property, then T is minimal, and (2) if T is minimal, then every edge in T satisfies the bottleneck property.

First, let's assume that every edge in a nice tree T satisfies the bottleneck property. We want to show that T is minimal. Suppose there exists another nice tree T' of G with a smaller sum of costs than T. Since T is a tree, it must have a leaf edge (v, w) that is not in T'. Hence, T is minimal.

Now, let's assume that T is minimal and show that every edge in T satisfies the bottleneck property. Suppose there exists an edge (v, w) in T that does not satisfy the bottleneck property. This means there is another path between v and w in G with a higher cost edge than (v, w). Therefore, every edge in T satisfies the bottleneck property.

By proving both directions, we have established the equivalence between every edge in a nice tree satisfying the bottleneck property and the tree being minimal.

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Answer: All four friends would have to share paying the tip and the total so all of them would pay 1/4 of the bill and 1/4 of the tip

Step-by-step explanation: divide the bill and tip between the 4 friends and you get 1/4 which is how much of the bill and tip that all you and the friends have to pay

To convert the polar equation r = 3 sin(θ) to rectangular form, we can use the following equations:
x = r cos(θ)
y = r sin(θ)

Substituting r = 3 sin(θ), we get:
x = 3 sin(θ) cos(θ)
y = 3 sin²(θ)

Simplifying the above equations using the identity sin²(θ) + cos²(θ) = 1, we get:
x = 3 sin(θ) cos(θ) = 3/2 sin(2θ)
y = 3 sin²(θ) = 3/2 - 3/2 cos(2θ)

Now, we can sketch the graph of the rectangular equation using a graphing calculator or by plotting points. The graph of the equation represents a cardioid with a cusp at the origin. It is symmetric with respect to the x-axis and has four lobes. The maximum distance from the origin is 3/2, which occurs at θ = π/2 and θ = 3π/2. The minimum distance is zero, which occurs at θ = 0 and θ = π.

In conclusion, the rectangular form of the polar equation r = 3 sin(θ) is x = 3/2 sin(2θ) and y = 3/2 - 3/2 cos(2θ), and its graph is a cardioid with a cusp at the origin, four lobes, and maximum distance of 3/2.

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Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

The factors of the number 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100. If you add them up, you will get the total of 217

Answer:

3/4

Step-by-step explanation:

Answer: (21,12)

Step-by-step explanation:

The total amount raised is the same for both Roxy and Randy if they sell 50 Plates.

Let the number of plate = 'p'

Roxy :

Selling price of plates = $5.00

Raised = $175

Total plates sold = 5.00p

Total amount raised = 5.00p + 175  ...eq.(1)

Randy :

Selling price of plates = $3.50

Raised = $250

Total plates sold = 3.50p

Total amount raised = 3.50p + 250  ...eq.(2)

Now we will equate the eq.(1) and eq.(2) to find the same amount raised by both Roxy and Randy ,

5.00p + 175 = 3.50p + 250

5.00p - 3.50p =250 - 175

              1.5p = 75

                   p = 75/1.5

                   p = 50

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Hey there ..

In ∆PRS and ∆RPQ ,

PS=QR (given)

angle PRS =angle QPR (90°)

PR=PR (common)

therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )

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Answer:

y=2x+4

Step-by-step explanation:

2 is the slope, you can see that with rise over run. 4 is the y intercept

Answer:

y=2x+4

Step-by-step explanation:

Look at the y-axis if the point that touches the y-axis is 4

Then the slope is 2

you go down 2 which is -2 (Since down is negative)

and you go left 1 which is -1 (Since left is negative)

now the equation looks like this:

y=-2/-1x+4

Simplify: (negative and negative cancel each other out making it positive)

y=2x+5

An equation of the linear relationship in slope-intercept form is y = 3x - 4.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 4)/(2 - 0)

Slope (m) = 6/2

Slope (m) = 3.

At data point (0, -4) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 4 = 3(x - 0)  

y = 3x - 4

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(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

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The two values together gives us the total surface area of the pyramid 128 cm².

Pyramid is a type of structure with a triangular shape and a flat base. It is usually made with four or more sides, with each side decreasing in size as it gets higher. Pyramids were built by ancient civilizations as tombs, temples and places of worship. The most famous examples are the pyramids of Giza in Egypt, which were built around 2500 BC.

The surface area of a square pyramid is the sum of the area of the base and the areas of all the triangular faces.
The base of the pyramid has a side length of 4 cm, so its area is 4 × 4 = 16 cm².
The triangular faces have a height of 7 cm, so their area is 4(4 × 7) = 112 cm².
Adding these two values together gives us the total surface area of the pyramid: 16 + 112 = 128 cm².

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The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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Based on the given options, the linear inequality that represents the graph below is C. y ≥ -3x + 1

To determine the correct option, we need to analyze the characteristics of the graph. Looking at the graph, we observe that it represents a line with a solid boundary and shading above the line. This indicates that the region above the line is included in the solution set.

Option A, y > (-3/6)x + 1, does not accurately represent the graph because it describes a line with a slope of -1/2 and a y-intercept of 1, which does not match the given graph.

Option B, y ≥ x + 1, also does not accurately represent the graph because it describes a line with a slope of 1 and a y-intercept of 1, which is different from the given graph.

Option D, y > x + 1, is not a suitable representation because it describes a line with a slope of 1 and a y-intercept of 1, which does not match the given graph.

Only Option C. y ≥ -3x + 1.

This is because the graph appears to be a solid line (indicating inclusion) and above the line, which corresponds to the "greater than or equal to" relationship. The equation y = -3x + 1 represents the line on the graph.

Consequently, The linear inequality y -3x + 1 depicts the graph.

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A radical equation is an equation that contains a variable within a radical expression.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

f(x) = x + 9

Step-by-step explanation:

y = f(x) + C C > 0 moves it up

To shift it up 9 units

f(x) = x + 9

Answer: 2/3

Step-by-step explanation:

The coordinates of point P, which is 2/5 of the way from A to B on the directed line segment AB, are approximately (-12/5, 32/5).

To find the point P that is 2/5 of the way from A to B on the directed line segment AB, we can use the following formula:

P = A + (2/5) * (B - A)

Given:

A = (-8, -2)

B = (6, 19)

Let's calculate the coordinates of point P:

P = (-8, -2) + (2/5) * ((6, 19) - (-8, -2))

P = (-8, -2) + (2/5) * (14, 21)

P = (-8, -2) + (28/5, 42/5)

P = (-8 + 28/5, -2 + 42/5)

P = (-40/5 + 28/5, -10/5 + 42/5)

P = (-12/5, 32/5)

Therefore, the coordinates of point P, which is 2/5 of the way from A to B on the directed line segment AB, are approximately (-12/5, 32/5).

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pls mark me as brainlist

thanks a lot

Answer:

uh thats not really an actual question but k...

Step-by-step explanation:

there are no operations

Answer:

2/7

Altogether there're 7 marbles. Let,probability of getting blue and red marbles be 'B' and 'R' respectively.

In 1st pick

Probability of getting red marble is 4/7

So, there's the probability that the ball in 1st pick may be either blue or red.

So,if the marble is red then we've to eliminate that red marble ( cause,question says so)

Then,in 2nd pick

Probability of getting red ball will be 3/6(if we eliminate that red ball then the total number of marbles will also be 6)

Now,

Probability of getting two red will be

(4/7)×(3/6)

=2/7

It would be more easier to do by tree diagram. Since,I didn't find it convenient here,it may be not so much helpful.But, I tried my best. Hope you are clarified.