Jasmine's credit card has a $2,000 balance that she carried over from last month. assuming her credit card charges an 18 percent annual interest rate, how much will her interest charges be this month?

23. A stratified random sample design was used instead of a simple random sample in the given scenario. It is not an SRS. This is because a simple random sample provides each individual in the population with an equal chance of being chosen for the sample.

But, in this case, different subgroups (males and females) of the population were divided before sampling. Instead of drawing samples randomly from the entire population, the sample was drawn separately from each stratum in a stratified random sample design. The sizes of these strata are proportional to their sizes in the population.

Therefore, a stratified random sample is not the same as a simple random sample.25.

(a) The sampling method used by the cable company is called Cluster Sampling.

b) Cable companies use cluster sampling method when the population being sampled is geographically large and scattered over a wide area. In such cases, surveying each member of the population can be difficult, time-consuming, and expensive. The companies divide the population into clusters, which are geographic groupings of the population. They then randomly select some of these clusters for inclusion in the survey. Finally, they collect data on all members of each selected cluster.

This method was chosen by the cable company because it is easier to contact respondents within the selected clusters and less costly than a simple random sample.

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can you write the question correctly

Answer:

Finish the question and ill be glad to help!

Step-by-step explanation:

Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

Answer:

krista would have earned 70  dollars

Step-by-step explanation:

first do how much she saved ($21) divided by the $3 she takes out of every $15

you end up with 7. you would slap a big phat 0 on the end, and boom, you have your answer. $70

hope this helps,

                       noah

The magnitude of vector a is 6√2.

To calculate the projection of vector a onto vector v, we can use the formula:

proj_v(a) = (a · v) / ||v||² × v

where · represents the dot product and ||v|| represents the magnitude of vector v.

Given:

a = [4, 8, 8]

v = [1, 1, 0]

First, let's calculate the dot product (a · v):

(a · v) = 41 + 81 + 8×0 = 4 + 8 + 0 = 12

Next, let's calculate the magnitude of vector v:

||v|| = √(1² + 1² + 0²) = √(2)

Now, we can calculate the projection of vector a onto v:

=  12 / ((√2)² ×  [1, 1, 0]

= 12 / 2 x [1, 1, 0]

= 6  [1, 1, 0]

= [6, 6, 0]

The projection of vector a onto v is [6, 6, 0].

To find the magnitude of vector a, we can use the formula:

||a|| = √a1² + a2² + a3²

||a|| = √ 6² + 6² + 0²

= √ 36+36

= √72

= 6√2

Thus, The magnitude of vector a is 6√2.

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Answer:

Neither

Step-by-step explanation:

This function isn't even, because

\(f(x) = f( - x)\)

Basically this mean for every x opposites the y value should be the same.

Here, 6 and -6 doesn't share the same y value, nor as -3,and 3.

This function isn't odd because

\(f( - x) = - f(x)\)

Basically, this means our y values should be reflected about the orgin,

here, the y values does not switch signs for every x value and it's opposite itself , so this function isn't odd.

So The answer is neither

To formulate and solve a linear programming model for the resource-allocation problem in Excel, you will need to use the appropriate formulas in each cell. Additionally, you can utilize Solver to optimize the solution.

In Excel, you can use the SUMPRODUCT formula to calculate the contribution per unit by multiplying the profit per unit of each activity by the corresponding allocation. For example, if the profit per unit of activity A is in cell B2 and the allocation for activity A is in cell C2, you can use the formula "=B2*C2" to calculate the contribution per unit for activity A.

To formulate the linear programming model, you will need to define the objective function and the constraints. The objective function represents the goal you want to maximize or minimize, while the constraints specify the limitations on the resources or activities.

To set up Solver, go to the Data tab in Excel and click on Solver. In the Solver Parameters dialog box, you need to specify the objective cell (the cell containing the formula for the total contribution), select the optimization type (maximize or minimize), and add the constraints. The constraints can be added by clicking on the Add button and specifying the cell references for the constraints.

Once Solver is set up, you can click Solve to find the optimal solution that maximizes or minimizes the objective function while satisfying the constraints.

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Answer: 12km

Step-by-step explanation:

To find the missing side you need to use the formula a^2 + b^2 = c^2 where C is your hypotenuse.

So your formula would be 4^2 + 3^2 = c^2 ...

16 + 9 = c^2

25 = c^2 so square root both sides. Your missing side is 5km and then add all sides together to find your perimeter.

Answer:

Tisha's bouquet will smell more like roses .       Step-by-step explanation:

Answer:

$838.09

Details:

750.44 after one year.

771.45 after two years.

793.05 after three years.

815.26 after four years.

838.09 after five years.

Answer:

Solution given;

length[l]=20cm

for trapezoid

side 1=37cm

side 2=15cm

height[h]=25.7cm

we have

volume =area of trapezoid *length

the volume of the figure13364cm³.

Answer:

x = 19/4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-6 + 4x = 13

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here, we see that 13 does indeed equal 13.

∴ x = 19/4 is a solution of the equation.

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

===========================================================

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

Answer:

Step-by-step explanation: y=1.5(3)-2

y=2.5

Yes, each input have exactly one output.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

According to question,

y = 1.5x – 2

1. y = (1.5×-3) - 2

     = -6.5

2. y = (1.5×0) - 2

     = -2

3. y = (1.5×3) - 2

      =2.5

4. y = (1.5×6) - 2

      =7

Hence each input have exactly one output.

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Answer: to scale the base units so that they can represent anything from a very large numeric value

Step-by-step explanation:

to scale the base units so that they can represent anything from a very large numeric value

Answer: 1.961%

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

+1x=50

divide both sides by 1

x=50

Answer:

x = 50

Step-by-step explanation:

If you divide anything by one, it will remain the same.

To isolate the x variable, you need to divide both sides by 1.

+1x/1 = 50/1

x = 50

To find the first four terms of the sequence given by the formula aₙ=43-4(n-1), we substitute n=1, 2, 3, and 4 in the formula and simplify.

a₁=43-4(1-1)=43-4(0)=43-0=43

a₂=43-4(2-1)=43-4(1)=39

a₃=43-4(3-1)=43-4(2)=35

a₄=43-4(4-1)=43-4(3)=31

Therefore, the first four terms of the sequence are 43, 39, 35, and 31

The unique challenges of lack of baseline data, sample size, and objectivity pose significant obstacles in environmental science. Researchers must work diligently to overcome these challenges through careful data collection, innovative methodologies, and critical analysis.

The challenge of lack of baseline data in environmental science refers to the difficulty in establishing a starting point or reference point to compare future observations or changes. Baseline data provides important information about the current state of the environment, such as air quality, water quality, biodiversity, and ecosystem health. Without this baseline data, it becomes challenging to assess and monitor changes over time accurately.

Sample size is another unique challenge in environmental science. It refers to the number of observations or data points collected for a particular study or analysis. A larger sample size generally provides more reliable and representative results. However, in environmental science, it is often difficult to obtain large sample sizes due to logistical constraints, limited resources, and the complexity of natural systems. This limitation can affect the precision and generalizability of research findings.

Objectivity is a critical aspect of scientific inquiry, including environmental science. It involves conducting research without bias or personal opinion, relying on empirical evidence and logical reasoning. However, achieving complete objectivity is challenging because researchers may have inherent biases, conscious or unconscious. Additionally, interpreting data can be subjective, leading to different conclusions. Environmental scientists strive to minimize subjectivity by using rigorous methodologies, peer review, and transparent reporting.

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Answer:

d:1

Step-by-step explanation:

the answers will always be negative and the other side will always be positive

The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.

To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) =  = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.

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The correct answer is B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

The confidence level in statistics denotes the likelihood that the estimation of the position of such a statistical parameter (e.g., an arithmetic mean) in a survey study is also true for such population.

Some characteristics of confidence level are-

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The complete question is-

A researcher is conducting a survey for which she currently has 93% confidence level. What would be two actions that she could take that would be most likely to increase the confidence level in her survey result?

A. Increase the sample size and modify the design of the survey to increase the standard deviation.

B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

C. Decrease the sample size and increase the randomness of the survey sample.

D. Modify the design of the survey to increase the standard deviation and decrease the randomness of the survey sample

The solutions to the given system of equations are given as follows:

1. x = 3, y = -3.

2. No solution.

3. x = 2, y = 1.

4. x = -1, y = 10.

5. No solution.

6. (x,y) = (x, 8 - 2x).

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

There are multiple ways to solve a system, and in this problem the substitution method is used, in which we write a variable as a function of another variable, replace in the other equation, then we find each variable.

From the first equation, we have that:

y = 2x - 9.

Replacing in the second:

x + 3(2x - 9) = -6

7x - 27 = -6

7x = 21

x = 3.

Then:

y = 2(3) - 9 = -3.

Then the solution is:

x = 3, y = -3.

From the first equation, we have that:

y = 2x - 7.

Replacing in the second:

6x - 3(2x - 7) = 14

6x - 6x + 21 = 14

0x = -7.

x = -7/0.

Hence no solution due to division by 0.

From the first equation, we have that:

y = 5 - 2x.

Replacing in the second:

3x - 3y = 3.

x - y = 1 (simplifying by 3)

x - 5 + 2x = 1.

3x = 6.

x = 2.

Then:

y = 5 - 2(2) = 5 - 4 = 1.

Then the solution is:

x = 2, y = 1.

From the first equation, we have that:

y = 7 - 3x

Replacing in the second:

4x + 2y = 16

4x + 2(7 - 3x) = 16

4x + 14 - 6x = 16

-2x = 2

2x = -2

x = -2/2

x = -1

Then:

y = 7 - 3(-1) = 7 + 3 = 10.

Then the solution is:

x = -1, y = 10.

From the first equation, we have that:

y = 4x - 6

Replacing in the second:

2x - 0.5y = 4

2x - 0.5(4x - 6) = 4

2x - 2x + 3 = 4

0x = 1.

Hence no solution due to division by 0.

From the first equation, we have that:

y = 8 - 2x

Replacing in the second:

3x + 1.5y = 12.

3x + 1.5(8 - 2x) = 12.

3x + 12 - 3x = 12

0x = 0.

There are infinite solutions in the following format:

(x,y) = (x, 8 - 2x).

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μ_ȳ = μ

σ_ȳ = σ/√n

Here, we want to find the sample size n such that P(|ത − μ| < 1) ≅ 0.95. Using the CLT, we can write this as:

P(|(ȳ - μ)/(σ/√n)| < 1) ≅ 0.95

We can simplify this expression by multiplying both sides by σ/√n and rearranging:

P(|ȳ - μ| < σ/√n) ≅ 0.95

Now, we can use the fact that the standard deviation σ is known to substitute σ/√n with its value of 5, and we get:

P(|ȳ - μ| < 5/√n) ≅ 0.95

The absolute value of the difference |ȳ - μ| is equivalent to the distance between ȳ and μ, which is a measure of how far the sample mean is from the population mean. We want this distance to be less than 1, so we can rewrite the inequality as:

5/√n < 1

Solving for n, we get:

n > 25

Therefore, the minimum sample size required to ensure that P(|ത − μ| < 1) ≅ 0.95 is n = 26 (rounded up to the nearest integer).

Answer:

22 and 14

Step-by-step explanation:

22 divided by 2 is 11

11 plus 3 is 14

22 minus 14 is 8

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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