Given the inequality of x < 5, select all the

What is the area of a circle with a diameter of 24 meters (use 3.14 for Pi)?

Zarrin [17]

The area of a circle is represented by the equation:

$A=\pi r^{2}$

We know that the diameter is two times the radius: $d=2r$

So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:

$24m=2r$ --> $r=12m$

So then we can plug this radius in to the equation for the area of a circle:

$A=\pi (12)^{2}$

$A=144\pi$

We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:

$A=3.14(144)$

$A=452.16m^{2}$

Now we know that the area of this circle is 452.16 square meters.

5 0

3 years ago

Sam kept track of the number of problems he was assigned for his math homework on the box plot.

yulyashka [42]

Answer:

Statement A is correct about Sam's box and whisker plot.

Step-by-step explanation:

We have been given a box plot and we are asked to find out true statement according to the box plot.

Since we know data represented by box plot is divided in four equal parts.

Upon looking at our box plot we can see that our data is symmetric. It's median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.

Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.

$IQR=Q_3-Q_1$

Upon substituting given values from box plot we get,

$IQR=19-11=8$

From IQR we can conclude that half of the assignments contained 15 problems or fewer.Therefore, option A is the correct choice.

4 0

3 years ago

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The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00

tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year Cashflows PV Factor Present Value

0 -$1,061,500 1 -$1,061,500

1 $288,750 0.901 $260,164

2 $288,750 0.812 $234,465

3 $288,750 0.731 $211,076

3 $468,750 0.731 $342,656

Net present value -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

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5 0

2 years ago

The perimeter of a rectangular swimming pool is 160 feet . The length of the swimming pool is four times its width. Find the dim

Murrr4er [49]

Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
So we can plug in '4W' for 'L' in the first equation.
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>

6 0

3 years ago

Read 2 more answers

What is the equation of the function that is graphed as line a?

Andrei [34K]

Answer:

B

Step-by-step explanation:

We see that the line intersects the y-axis at -1. As a result, we need to choose an equation with -1, either B or C. We see that the different is the slope. For choice B, the slope is $\frac{1}{3}$ , meaning that every unit up equates to 3 blocks to the right. Counting along the line, we see that this is correct.

4 0

3 years ago