Step 1: Select a two-digit number less than 100.
Step 2: Add 3 to your number.
Step 3: Double the result.
Step 4: Subtract 9.
Step 5: Multiply by 5.
Step 6: Add 15.
Step 7: Divide by 10
Did you get your original number? Use algebra to show why this works. How is
this problem different from the previous problem?

SOMEONE PLEASE HELPP MEEE!!!

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

False it does have a solution or solutions

One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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Answer:

See below

Step-by-step explanation:

1)

2x + 10 = 3x + 1

10 = x + 1

x = 9

2)

5y - 4 = 6

5y = 10

y = 2

Answer:

ray XZ is the angle bisector of angle WXY.

Sum of the interior angles of a rectangular polygon of 18 sides​ IS 2880°

Given,

Rectangular polygon of 18 sides.

The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180.

Then,

S=(n-2)*180°

n = Number of sides

So,

S=(18-2)(180°)

S=16(180°)

S=2880°

A polygon with 18 sides has an interior angle sum of 2880 degrees.

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Answer:

Step-by-step explanation:

\(\geq \neq \sqrt{x} \alpha \pi \leq \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} x_{123} =\pi 12\sqrt[n]{x} \left \{ {{y=2} \atop {x=2}} \right. 1\pi\)

ANSWER:

1st option: Yes, (2, 7) is a solution of the system

STEP-BY-STEP EXPLANATION:

We have the following system of inequalities:

We substitute in each inequality the values of x = 2 and y = 7 if the inequality is fulfilled in both cases if it is a solution of the system, otherwise, it would not be a solution.

We check it like this:

Therefore, the correct answer is the 1st option: Yes, (2, 7) is a solution of the system

The rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time.

To find the rate at which the infected population is growing after 8 days, we need to take the derivative of the given function I(t) with respect to t:

\(dI/dt = 3900(0.0514)e^(0.0514t)\)

At t=8, the rate at which the infected population is growing is:

\(dI/dt = 3900(0.0514)e^(0.0514*8) = 1096.57\)

Therefore, the rate at which the infected population is growing after 8 days is approximately 1096.57 people per day.

It is important to note that this rate of growth is an instantaneous rate at t=8, and it will likely change as time passes and the outbreak progresses. Furthermore, the rate of growth of the infected population depends on various factors such as the transmission rate of the virus, the effectiveness of preventive measures, and the availability of healthcare resources.

In conclusion, the rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time. This result provides insight into the early stages of a flu outbreak, but further analysis is required to understand the longer-term dynamics of the outbreak and the factors that affect the spread of the disease.

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Answer:

4^(5+2) + 7 - (4^(-3+2) +7)

--------------------------------------

5 +3

Step-by-step explanation:

The average rate of change is given by

h(5) - h(-3)

---------------

5 - -3

h(5) - h(-3)

---------------

5 +3

h(5) = 4^(5+2) + 7

h(-3) = 4^(-3+2) +7

4^(5+2) + 7 - (4^(-3+2) +7)

---------------

5 +3

Answer: i got the answer  c. Good luck!

Answer: 106

Step-by-step explanation: 12x10=120 7x2=14 120-14=106

Answer:

\(A_{shaded} = 106\ m^2\)

Step-by-step explanation:

Step 1:  Get the area of the inside box

\(A=l*w\)

\(A_{inside\ box} = 7\ m* 2\ m\)

\(A_{inside\ box} = 14\ m^2\)

Step 2:  Get the area of the outside box

\(A = l * w\)

\(A_{outside\ box} = 12\ m * 10\ m\)

\(A_{outside\ box} = 120\ m^2\)

Step 3:  Subtract the inside box from the outside box

\(A_{shaded} = A_{outside\ box} - A_{inside\ box}\)

\(A_{shaded} = 120\ m^2 - 14\ m^2\)

\(A_{shaded} = 106\ m^2\)

Answer:  \(A_{shaded} = 106\ m^2\)

The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

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Answer:

\(d=\sqrt{53}\)

Step-by-step explanation:

We need to find the distance between two points i.e. (−5,−1) and (−3,−8).

It can be calculated using distance formula as follows :

\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8

Put all the values,

\(d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}\)

So, the distance between the points is equal to \(\sqrt{53}\)

Step-by-step explanation:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form(-3,5) and (-5,-2)

Answer:

3.25%

Step-by-step explanation:

4000XxX9 =585

100X2

The annual rate of interest if the interest amount of $585 will be 3.25%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The interest is given as

I = (P × R × T) / 100

Where, P is the initial amount, R is simple interest rate, and T is the time.

Jack borrowed $4000.00 and paid $585.00 in simple interest from after 4 years six months.

4 years six months = 4.5 years

Then the interest rate will be

585 = (4000 × R × 4.5) / 100

   R = 585 /(40 x 4.5)

   R = 3.25%

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Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer:

(657)

Step-by-step explanation:

Simplify the following:

3 (300 - 70/5 - (3×23 - (8 - 2×3)))

The gcd of -70 and 5 is 5, so (-70)/5 = (5 (-14))/(5×1) = 5/5×-14 = -14:

3 (300 + -14 - (3×23 - (8 - 2×3)))

-2×3 = -6:

3 (300 - 14 - (3×23 - (-6 + 8)))

8 - 6 = 2:

3 (300 - 14 - (3×23 - 2))

3×23 = 69:

3 (300 - 14 - (69 - 2))

| 6 | 9

- | | 2

| 6 | 7:

3 (300 - 14 - 67)

300 - 14 - 67 = 300 - (14 + 67):

3 ((300 - (14 + 67)))

| 1 |

| 6 | 7

+ | 1 | 4

| 8 | 1:

3 (300 - 81)

| | 9 |

| 2 | | 10

| | |

- | | 8 | 1

| 2 | 1 | 9:

3 (219)

3 (219) = (3×219):

(3×219)

3×219 = 657:

Answer: (657)

Answer: x = sqrt(10)

Step-by-step explanation:

You can use the Pythagorean Theorem to solve:

a^2 + b^2 = c^2

You are given one leg (sqrt6) and the hypotenuse (4) and are asked to solve for the other leg (x). Plugging everything into the equation, you get:

(sqrt6)^2 + b^2 = (4)^2

Now, you can solve for b:

b^2 = 4^2 - (sqrt6)^2

b^2 = 16 - 6

b^2 = 10

b = sqrt(10)

In this case, b is equivalent to x, so your answer is x = sqrt(10).

Answer:

x = √10

Step-by-step explanation:

C^2 = A^2 + B^2

4^2 = (√6)^2 + x^2

16 = 6 + x^2

x^2 = 10

x = √10

Answer:

1 and 1/3 yard

Step-by-step explanation:

200 divided by 150 is equal to 4 divided by 3

using a fraction calculator i did

4       3            1

-    /   -     =   1  -

1       1              3

Answer:

How many yards to make one dress?  = 1.33

Step-by-step explanation:

This is a ratio problem (fractions) used to solve an unknown.

if 200yds makes 150 dresses then let x (your unknown) be the yds needed  to make 1 dress.

200/150 = x/1

150*x = 200*1

150x = 200

150x/150 = 200/150

x = 200/150  

x = 1.33333

Answer:

$1.34

Step-by-step explanation:

Simply multiply 7.91 by .17

7.91 times .17=1.3447

Round the the nearest hundredth

$1.34

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Answer:

A. 7

Step-by-step explanation:

It's just the coefficient of x

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value \(= $50,000 - $10,000 = $40,000\)

Year 2:

Book value = Initial investment - (2 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (2 \times$10,000) = $30,000\)

Year 3:

Book value = Initial investment - (3 \(\times\) Depreciation expense per year)

Book value = $50,000 - (3 \(\times\) $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (4 \times $10,000) = $10,000\)

Year 5:

Book value = Initial investment - (5 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (5 \times $10,000) = $0\)

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)

For Year 5:

Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)

For Year 4 (if scrapped):

Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

\(PV = CF / (1 + r)^t\)

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)

PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)

PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)

PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)

PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

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The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

2.5 cm high

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) The base is the number 3

2) the power is 12

3) it shoud give you 3^12

4) It should give you 531441

5) You mutiply both exponents together

Answer:

4) Their slopes are equal

Step-by-step explanation:

Parallel lines with the same slope will never meet because they have the same slope

Answer:

D) Their slopes are equal.

Step-by-step explanation:

For a line to be parallel, both lines need to be going at the same angle forever and never intersect. So if the slopes of the lines are equal, both of the lines would be at the same angle going the same direction. It does not matter where the lines are on the graph! It can be on top of the other line or far away from the other line, it just needs to have the same slope.