The graph of a linear of y in terms of passes through the points located at (- 3, 4) and (2, - 6) in the coordinate plane Which value represer the rate of change of y with respect to this function Select one answer

The weighted average cost of capital for Android Corp. is 12.41%.

First, calculate the weight of each source of capital:

- Common stock: $50 million / ($50 million + $27 million) = 0.65
- Debt: $27 million / ($50 million + $27 million) = 0.35

Next, calculate the cost of each source of capital:
- Common stock: 18%
- Debt: 3%

Finally, calculate the weighted average cost of capital using the following formula:

WACC = (weight of common stock x cost of common stock) + (weight of debt x cost of debt)
WACC = (0.65 x 0.18) + (0.35 x 0.03)
WACC = 0.117 + 0.0105
WACC = 0.1275 or 12.41%

Hence the wieght  weighted average cost of capital for Android Corp. is 12.41%.

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If the cost is growing exponentially, the cost of the painting in 2017 is $120.24.

The formula for exponential growth is A = P e^(rt) where:

A = amount at end of period

P = initial amount

r = rate of growth

t = time

For this question, we need to find the rate of growth. The formula for finding the rate of growth is:

r = ln(A/P) / t

Where ln is the natural logarithm. We can use this formula to find r:

ln(15/10) / 2 = 0.2231

So the rate of growth is 0.2231. Now we can use the formula for exponential growth to predict the cost of the painting in 2017. Since 1997 to 2017 is 20 years, we have:

t = 20

A = 10 e^(0.2231 * 20) = $120.24 (rounded to the nearest cent)

Therefore, the predicted cost of the painting in 2017 is $120.24.

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Mary's claim that the records are only a sample is correct.

Mary is correct because the set of female death records from Mobile, Alabama in the year 2011 represents a sample, not the entire population.

In statistics, a population refers to the entire group of individuals or objects that we are interested in studying, while a sample is a subset of the population that is selected for analysis.

In this case, the population would be all females in Mobile, Alabama in the year 2011, whereas the set of death records is just a sample of that population.

Option C is the most accurate choice, as it specifically mentions that the records are from 2011, further supporting the idea that they are a subset of the population rather than the entire population.

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Answer:

please mark me brainliest

Step-by-step explanation:

thousandth

The place Value of 2 is Thousand (1000)

Answer:

Step-by-step explanation:

   Perimeter of shape is the distance of the path or boundary that surrounds the shape

Perimeter of rectangle =2*length + 2*width

Answer:

there is 3 sides

Step-by-step explanation:

I hope this helps you

Answer:

B

Step-by-step explanation:

B because it says Valerie is 4 seconds faster than Peter so that should be S-4 but they tell you to find the average which is S-2 so that's your answer.

Hope I got this correct, I haven't done average in a long time.

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

The total cost of rice and beans bought by Gabriel is 6b + 4r.

The simplified expression of the final cost is 4b + 3r.

Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.

Given that

6b + 4r represents the total cost of the rice and beans Gabriel bought.

He returns 2 bags of beans and 1 bag of rice.

This can be written as,

\(\rm 2b+1r\)

Then, the total number of bags of rice and beans is given as,

\(\rm (6b+4r)- (\rm 2b+1r)\)

When we simplify the above equation, we get,

\(\rm (6b+4r)- (\rm 2b+1r)\\\\6b+4r-2b-1r\\\\4r+3r\)

Hence we can conclude that the expression for rice and beans after the return is (4b+3r).

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Answer:

X +50= 180

X=130

y=130(VOA)

Answer:

x and y are 130°

Step-by-step explanation:

180-50=130

x and y = 130

if the angles are equal when a line goes through the lines they are parallel

The first statement, "lim f(x) = infinity as x approaches 2," means that as x gets closer and closer to 2, the function f(x) gets larger and larger without bound. Essentially, there is no finite limit to how big f(x) can get as x approaches 2.

The second statement, "f(x) = [infinity]," means that f(x) approaches infinity as x approaches some point (the statement doesn't specify which point). This means that there is no upper bound on how large f(x) can get.

Finally, the third statement says that the values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -2. In other words, if you pick a really small number (like 0.0001), you can find an x value that is very close to -2 that will make f(x) smaller than that number. However, the statement also says that f(x) can get arbitrarily large by taking x sufficiently close to -2 (but not equal to it), so f(x) is not necessarily bounded.

Here are the meanings of each term:

1. lim f(x) = infinity as x -> 2: This means that as the value of x approaches 2 (but does not equal 2), the function f(x) approaches infinity. In other words, the function grows without bound when x is very close to 2.

2. f(x) = [infinity]: This notation is used to emphasize that the function f(x) is taking on very large values or growing without bound, similar to the concept of infinity.

3. Values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -2: This means that as the value of x approaches -2 (but does not equal -2), the function f(x) approaches 0. In other words, the function gets closer and closer to 0 as x gets closer to -2.

4. Values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -2: This means that as the value of x approaches -2 (but does not equal -2), the function f(x) approaches infinity. In other words, the function grows without bound when x is very close to -2.

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Step-by-step explanation:

when x increases by 1. y decreases by 7.

e.g. from (-4, 7) to (-3, 0).

the slope is therefore -7/1 = -7.

the slope is always the factor of x in the equation.

y = -7x + b

b is the y-intercept (the y value when x = 0).

let's use e.g. (-3, 0) to get b :

0 = -7×-3 + b = 21 + b

b = - 21

so, the full equation is

y = -7x - 21

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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a. The replacement free cash flows is $255,000

b.  The Payback Period time required to recover the initial investment is 2.7778 years.

d. By calculating the NPV at various discount rates, we can determine the rate at which NPV is closest to zero.

a. To calculate the replacement free cash flows, we need to consider the cash flows associated with the new fleet of trucks. Here's the calculation:

Initial cash outflow: Purchase cost of new trucks + Shipping cost

= $350,000 + $50,000

= $400,000

Annual cash flows:

Operating cost savings:

Diesel fuel savings: $250,000 - $150,000 = $100,000

Maintenance cost savings: $35,000 - $10,000 = $25,000

Net operating working capital reduction: $20,000

Total operating cost savings per year: $100,000 + $25,000 + $20,000 = $145,000

Revenue increase:

Revenue growth rate: 10%

Year 1 revenue increase: $800,000 * 10% = $80,000

Year 2 revenue increase: $800,000 * 10% = $80,000

Year 3 revenue increase: $800,000 * 10% = $80,000

Year 4 revenue increase: $800,000 * 10% = $80,000

Year 5 revenue increase: $800,000 * 10% = $80,000

Salvage value: Market value of the new trucks at the end of 5 years = $30,000

Free cash flows:

Year 0: Initial cash outflow = -$400,000

Year 1: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 2: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 3: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 4: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 5: Cash flow = Operating cost savings + Revenue increase + Salvage value = $145,000 + $80,000 + $30,000 = $255,000

b. The Payback Period is the time required to recover the initial investment. To calculate it, we sum the cash flows until they equal or exceed the initial investment. Here's the calculation:

Payback Period = Number of years to recover initial investment

= 2 years (Year 1 cash flow + Year 2 cash flow)

+ (Remaining investment / Year 3 cash flow)

= 2 years + ($400,000 - $225,000) / $225,000

= 2 years + 0.7778 years

= 2.7778 years

c. To calculate the Net Present Value (NPV) and Profitability Index (PI), we need to discount the cash flows using the given discount rate of 15%. Here's the calculation:

Discount rate: 15%

Present value factor for each year:

Year 0: 1 / (1 + Discount rate)^0 = 1

Year 1: 1 / (1 + Discount rate)^1 = 0.8696

Year 2: 1 / (1 + Discount rate)^2 = 0.7561

Year 3: 1 / (1 + Discount rate)^3 = 0.6575

Year 4: 1 / (1 + Discount rate)^4 = 0.5718

Year 5: 1 / (1 + Discount rate)^5 = 0.4972

NPV calculation:

NPV = (Year 0 cash flow) + (Year 1 cash flow * Present value factor) + (Year 2 cash flow * Present value factor) + ...

= -$400,000 + ($225,000 * 0.8696) + ($225,000 * 0.7561) + ($225,000 * 0.6575) + ($225,000 * 0.5718) + ($255,000 * 0.4972)

Profitability Index calculation:

PI = NPV / Initial investment

= NPV / $400,000

d. To calculate the Internal Rate of Return (IRR), we find the discount rate that makes the NPV equal to zero. Here's the calculation:

IRR = Discount rate that makes NPV equal to zero

By calculating the NPV at various discount rates, we can determine the rate at which NPV is closest to zero.

e. Based on the information provided, we can determine if the fleet should be replaced by considering the Payback Period, NPV, Profitability Index, and IRR.

If the Payback Period is within the company's acceptable timeframe and the NPV is positive, or the Profitability Index is greater than 1, and the IRR exceeds the company's required rate of return, then replacing the fleet would be financially favorable. If any of these criteria are not met, it would indicate that the replacement may not be the best option.

Please note that the calculation of IRR requires further information, and the final decision should consider additional factors such as qualitative aspects, operational requirements, and strategic considerations.

Without the specific values for cash flows in each year, it is not possible to provide a definitive answer to whether the fleet should be replaced based on the given information.

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The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.

Slope=Vertical Change/Horizontal Change

This is also represented as the "ratio of rise to run of a line".

Slope=Rise/Run

In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".

Horizontal Change/ Vertical Change= 1/slope

This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.

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Answer:

b= the square root of 20

Step-by-step explanation:

if a^2+b^2=c^2, then c^2-a^2=b^2. 6^2-4^2=c^2. So 36-16=b^2. 36-16=20.20=b^2, then take the square root of both sides to get b= the square root of 20.

Let width of the rectangle be x.

Therefore ,Length= 3 + 2x

Area= 35

(3+2x)* x =35

3x + 2x^2 - 35 = 0

(2x-7)(x+5)

Therefore x=3.5

Length is 10 and Width is 3.5

Answer:

Area = length × width

90 = (3+2w) × w

w(2w + 3) = 90

2w² +3w = 90

2(w² +3/2w) = 90

Divide both sides by 2

2(w² +3/2w)/2 = 90/2

w² + 3/2w = 45

w² + 3/2w + (3/2•2)² = 45 + (3/2•2)²

w² + 3/2w + (3/4)² = 45 + (3/4)²

w² + 3/2w + 9/16 = 45 + 9/16

(w + 3/4)² = 729/16

Take the square root of both sides

√(w + 3/4)² = √729/16

w + 3/4 = 27/4

w + 3/4 -3/4 = ±27/4 - 3/4

w = 27/4 - 3/4 w = -27/4 - 3/4

w = 6m w = -7.5m

Area = length × width

90 = l × 6m

when x = 6m when x = -7.5 m

l = 90 m²/6m l = 90 m²/-7.5m

l = 15 m l = -12m

We cannot have negative dimension so

A = 90m²

l = 15m

w = 6m

Step-by-step explanation:

Answer:base salary plus goals equals the total amount

Step-by-step explanation:

Goals equals base salary

Answer:

don't trust me on this, but what it looks like is that whoever makes the next best scores on on the team get a increase of $1000

Step-by-step explanation:

For ex. Makaros has the lowest score so he makes $5000 but gerros has the next best score so he makes 1 more thousand than Makaros.

Answer:

written in standard form as 5 × 10^-m m .

Answer:

$22,880

Step-by-step explanation:

40 (hours a week) * 52 (weeks in a year) = 2,080

2080  * 11 (dollars an hour) = 22,880

So unless I a messing up somewhere I think it is $22,880  :)

Answer:

1. maintain constant

2. decrease

3. increase

Answer:

(3, 1)

Step-by-step explanation:

Let the coordinates of B be (x, y)

Since, M is the midpoint of AB.

Therefore, by mid point formula:

\(1 = \frac{ - 1 + x}{2}, \: \: \: 3 = \frac{5 + y}{2} \\ \\ 2 = - 1 + x, \: \: \: 6 = 5 + y \\ \\ 2 + 1 = x, \: \: \: 6 - 5 = y \\ \\ 3 = x, \: \: \: 1 = y \\ \\ x = 3, \: \: \: y = 1 \\ \\ B = (3, \: \: 1)\)

Answer:

-4ctv² + 10xyz - 9

Step-by-step explanation:

(2 + 5xyz - 6tv²c) - (11 - 5yxz - 2ctv²)

2 + 5xyz - 6tv²c - 11 + 5yxz + 2ctv²

-4ctv² + 10xyz - 9

I hope this helps!

To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

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Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

By the compare to y =mx + b, the value of slope (m) is 1/10 and value of y - intercept is 0.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The expression is,

⇒ v = 1/10u

Now, We can write as;

⇒ v = 1/10u

⇒ v = 1/10u + 0

By compare with y = mx + b, we get;

⇒ slope (m) = 1/10

⇒ y - intercept (b) = 0

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Answer:

3200 dollar

120=3840

100=x

x=3200 dollar