Graph each equation using the intercepts. 3x-2y=-8

Without the projected value of the company at the end of year 5 (V), it is not possible to determine the specific ownership stake Benedicta should insist on today.

To determine the share of the company Benedicta Jones should insist on today, we need to calculate the present value of the expected future ownership stake at the end of year 5, based on her required rate of return of 50%.

Let's assume that the projected value of the company at the end of year 5 is V. Benedicta wants the management team to own at least a 15% share of the company by that time. So, the expected ownership stake at the end of year 5 would be 15% of V.

To calculate the present value of this future ownership stake, we discount it back to the present using the required rate of return. The formula for calculating the present value is:

PV = FV / (1 + r)\(^n\)

Where PV is the present value, FV is the future value, r is the required rate of return, and n is the number of years.

In this case, the future value (FV) is 15% of V, the required rate of return (r) is 50% (0.5), and the number of years (n) is 5.

PV = (15% of V) / (1 + 0.5)\(^5\)

Now, we can solve this equation to find the present value of the ownership stake.

However, we don't have the projected value of the company (V) or any additional information to determine it. Without the specific value of V, we cannot calculate the exact present value of the ownership stake Benedicta should insist on today.

Please provide the projected value of the company at the end of year 5 (V) so that we can calculate the required ownership stake.

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The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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Answer:

Step-by-step explanation:

-21x - 8y = 0

Answer:

Q 1- 15, just multiply 5 x 2 = 15

Q 2- 36, just multiply 8 x 12 = 36

Q 3- y= -2x

Q 4- 1200

Q 5- 20

Answer:

81°

Step-by-step explanation:

180°=37°+62°+x°

180-37=143

143-62=81

x=81

Answer:

15 2/3

Step-by-step explanation:

4 2/3 = 14/3

11 = 33/3

14/3 + 33/3 = 47/3

47/3 = 15 2/3

Step-by-step explanation:

again option D x = 10, y= 3

is the correct answer of this question.

plz mark my answer as brainlist.if you find it useful.

hope this will be helpful to you.

Answer:

x = 10

y = 7

Step-by-step explanation:

4x-2 = x+28

4x-x = 28+2

3x = 30

x = 30÷3

x = 10

4y-7 = y+14

4y-y = 14+7

3y = 21

y = 21÷3

y = 7

Answer:

6.1 x 10⁴

that is the answer for you sir

Answer:

She has travelled 50km.

Step-by-step explanation:

The difference in time from 1.35pm to 3.50 is 75 mins, or 1hr 15mins.

She drives at 40km/h.

1hr = 40km

15mins (or 1/4 of an hour) = 10km

40 + 10 = 50

She has travelled 50km.

Answer:

Step-by-step explanation:

Find the time in travel:

Find the distance travelled:

Answer:

Federico

Step-by-step explanation:

Answer:

83.3 ft tall

Step-by-step explanation:

\(sin(40) = \frac{x}{125} \\x = 125 * sin(40)\\x = 80.34845\)

Round to 80.3 and add Hudson's height

80.3 + 3 = 83.3ft tall

The kite is approximately 83.35 feet above ground.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

Sin = opposite side / hypotenuse

Sin 40 = x/ 125

x = Sin 40 (125)

x = 125 (0.642)

x = 80.3

In order to find the height of kite off the ground, we will add the height of Hudson to 80.35 feet as well as he is flying the kite.

80.3 + 3 = 83.3 ft tall

Hence, the kite is approximately 83.35 feet above ground.

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Answer:63 cm

Step-by-step explanation:

Given

The scale of creation is 2:9

The width of the toy wheel is 14 cm

Suppose x is the actual width of the truck

\(\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm\)

Thus, the width of actual truck is 63 cm

line e is parallel to line m because angle 1 + angle 2 = 180°

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Represent the adjascent angle to angle 2 by x and adjascent angle to angle 1 by y

therefore ;

2 = y ( corresponding angles are equal)

1 = x ( corresponding angles are equal)

angle 1+y = 180 ( angle on a straight line)

angle 2 + x = 180

<1= 180-y

<2 = 180 -x

and both equations

< 1 +<2 = 180

therefore since < 1 +<2 = 180, then line e is parallel to line m

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The gas used by Abby while travelling in her pizza delivery route is 1/4.

As per the given question here we have to implement the basic principles of subtraction along with application of LCM.

The total amount of gas that Abby had in her car = 11/12

After coming to pizzeria the amount of gas left in her tank = 3/4

Here, we have to perform Subtraction to find out the amount of gas used for travelling. Therefore,

= 11/12 - 3/4

performing the LCM, we get

= 11 - 9/12

= 3/12 => 1/4

The gas used by Abby while travelling in her pizza delivery route is 1/4.

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Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

\(((a, b), (c, d))\in R\)

Where \(R\) is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

\(\forall a \in A \Rightarrow (a,a) \in R\)

Here we need to prove:

\(\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R\)

As per the given relation:

\(((a,b), (a,b) ) \Rightarrow ab =ab\) which is true.

\(\therefore\) R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

\(\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R\)

Here we need to prove:

\(\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R\)

As per the given relation:

\(((a,b),(c,d)) \in R\) means \(ad = bc\)

\(((c,d),(a,b)) \in R\) means \(cb = da\ or\ ad =bc\)

Hence true.

\(\therefore\) R is symmetric.

3. R to be transitive, we need to prove:

\(if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R\)

\(((a,b),(c,d)) \in R\) means \(ad = cb\).... (1)

\(((c,d), (e,f)) \in R\) means \(fc = ed\) ...... (2)

To prove:

To be \(((a,b), (e,f)) \in R\) we need to prove: \(fa = be\)

Multiply (1) with (2):

\(adcf = bcde\\\Rightarrow fa = be\)

So, R is transitive as well.

Hence proved that R is an equivalence relation.

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

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Using the Central Limit Theorem, it is found that the mean of the sampling distribution of the sample proportion of the responses is of 0.78.

In this problem, an article written for a magazine claims that 78% of the magazines subscribers report eating healthily the previous day, hence \(p = 0.78\).

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Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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The missing data in the given table are as follows: Lot Side DE, Lot Side 1-5, Length (m) 4-5, Bearing CD, Bearing EA, Latitude (m) 1, Latitude (m) 2, Departure (m) 1, and Departure (m) 2.

To determine the missing data, we need to analyze the given information. Looking at the Lot Sides, we can observe that AB corresponds to 41.86m, BC corresponds to 24.69m, CD is missing, DE is missing, and EA is missing. Similarly, for Lot Sides 1-2, 2-3, and 3-4, the corresponding lengths are 43.77m, 21.65m, and 18.16m, respectively. However, the Length (m) 4-5 is missing. Moving on to the Bearings, we have 284°00'00" for AB, 167°07'30" for BC, 148°53'45" for CD, and EA is missing. The bearings for Lot Sides 1-2, 2-3, and 3-4 are 260°56'00", 170°57'45", and 142°59'40", respectively. However, the bearings for 4-5 and EA are missing. Additionally, Latitude (m) 1, Latitude (m) 2, Departure (m) 1, and Departure (m) 2 are all missing.

In summary, the missing data in the table are as follows: Lot Side DE, Lot Side 1-5, Length (m) 4-5, Bearing CD, Bearing EA, Latitude (m) 1, Latitude (m) 2, Departure (m) 1, and Departure (m) 2.

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The missing data in the given table are as follows: Lot Side DE, Lot Side 1-5, Length (m) 4-5, Bearing CD, Bearing EA, Latitude (m) 1, Latitude (m) 2, Departure (m) 1, and Departure (m) 2.

The missing data in the table are as follows:

1. Lot Side DE: Length (m) = 28.48

2. Lot Side EA: Bearing = 77°54'20"

3. Lot Side CD: Bearing = 142°59'40"

4. Lot Side 1-2: Latitude (m) = unknown

5. Lot Side 1-2: Departure (m) = unknown

To determine the missing values, we can use surveying techniques such as traversing and coordinate geometry. Traversing involves measuring the angles and distances between known points to determine the missing values. By using the bearing and length data of the adjacent sides, we can calculate the missing bearing and length values. Additionally, coordinate geometry can be utilized to calculate latitude and departure values. This involves using the known coordinates of one point and the angle and distance measurements to calculate the coordinates of the missing point. By applying these techniques, we can find the missing data in the table.

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The estimated population in 2025 is 356.9

What is estimation ?

In math, estimating can be used to roughly calculate an answer (getting a "rough response") or to verify its accuracy (getting the "proper answer"). Even when estimating large numbers or decimal numbers, you shouldn't need to utilize a calculator or other documented techniques.

Estimation is frequently performed by sampling, which involves counting a small sample of a given thing and extrapolating that number to a wider population. Calculating the number of sweets of a particular size that are contained in a glass jar serves as an illustration of estimation.

There are 125 years from after 1900 to 2025

P = 0.00892t^2 + 1.1149t + 78.4491

P= (0.0089x125x125)+(1.1149x125)+78.4491

 =139.0625+139.3625+78.4491

 =356.87

 =356.9

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To find the equation of the tangent line to the curve y = 7sin(x) at x = π, we first need to find the slope of the tangent line.

We can use the derivative of y with respect to x to find the slope:

dy/dx = 7cos(x)

At x = π, the value of the derivative is:

dy/dx = 7cos(π) = -7

So the slope of the tangent line at x = π is -7.

To find the equation of the tangent line, we also need to know the y-coordinate of the point on the curve where x = π.

y = 7sin(π) = 0

So the point on the curve where x = π is (π, 0).

Now we can use the point slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

Plugging in the values we found, we get:

y - 0 = -7(x - π)

Simplifying, we get:

y = -7x + 7π

So the equation of the tangent line to y = 7sin(x) at x = π is y = -7x + 7π.

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Answer:

1. X > 1

2. 3/2

Step-by-step explanation:

For the first one, you must get x by itself in one side. to get rid of the Positive 3, you must subtract it from both the 3 and 10on the other side. Now u have 7x > 7. You then divide the seven from thr seven on one side and the seven on the other side. X> 1

number 2. multiplying is the opposite of dividing right? So you would multiply the 4 by what is on the other side, 3/8. 4 can also be written as a fraction, 4/1. When you multiply this out, you get 12/8 which is the same thing as 3/2.

i hope this helps u

Answer:

17 and 18

Step-by-step explanation:

I'm pretty sure the two integers are 17 and 18

(let me know if I'm wrong)

Answer

Anita's total number of dolls = 30

Explanation

Let the total number of dolls be x

20% of x = 6

0.2x = 6

Divide both sides by 0.2

(0.2x/0.2) = (6/0.2)

x = 30 dolls

Hope this Helps!!!

Answer:

I don't believe there is a standard formula for late payments. The late payment charge would vary by the lending institution. Some may have their own formula and some may have a set charge.

Step-by-step explanation:

Answer:

x = 1953125

Step-by-step explanation:

log x - log 5^3 = 2 log 5^3

log x - 3 log 5 = 6 log 5

log x = 9 log 5 = log 5^9

x = 5^9

 x = 1953125

Answer:

Step-by-step explanation:

6085 rounded to the nearest hundred is 6100

51,672 rounded to the nearest ten thousand is 50,000

The equation of the line is y = -1/4x + 15/4

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

Slope = -1/4

Point = (3, 3)

The equation of a line is calculated using

y = m(x - X) + Y

Where

m = Slope = -1/4

(x, y) = Point = (3, 3)

Substitute the known values in the above equation, so, we have the following representation

y = -1/4(x - 3) + 3

So, we have

y = -1/4x + 3/4 + 3

Evaluate

y = -1/4x + 15/4

Hence, the equation is y = -1/4x + 15/4

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Answer:

D,  \(10i\sqrt{2}\)

Step-by-step explanation:

Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.

Answer:

the answer is D.

!!!!!!!!!!!!!!!!!!!!!!!!