Question Content Area
Net Present Value
A project has estimated annual net cash flows of $15,000 for ten
years and is estimated to cost $47,500. Assume a minimum acceptable
rate of return of 20%. Use

Answer:

57

Step-by-step explanation:

Answer:

1 3/4

Step-by-step explanation:

Convert all the time listed to decimal number, let 9 1/4 (or 9.25hr subtract all of them) and divide by 2. Final answer is ~1.75 which is 1 3/4

The number of hours Sandy practices on Saturday is [tex]3\frac{1}{2}[/tex] hours. Therefore, option C is the correct answer.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Sandy is required to practice her clarinet for a total of [tex]9\frac{1}{4}[/tex] hours in one week.

Let the number of hours Sandy practices on Saturday be x.

Now, [tex]\frac{3}{4}+1\frac{1}{6}+\frac{1}{2}+1\frac{1}{3}+2+x=9\frac{1}{4}[/tex]

3/4 +7/6 +1/2 +4/3+2+x= 37/4

9/12 +14/12+6/12 +16/13+24/12+x=37/4

(9+14+6+16+24)/12 +x=37/4

69/12 +x=37/4

x=37/4 -69/12

x= 111/12 -69/12

x= (111-69)/12

x= 42/12

x= 7/2

x= [tex]3\frac{1}{2}[/tex] hours

Therefore, option C is the correct answer.

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Answer: r=1

Step-by-step explanation: r" is the correlation coefficient. It is always between -1 and 1, with -1 meaning the points are on a perfect straight line with negative slope, and r = 1 meaning the points are on a perfect straight line with positive slope.

Answer:

13

Step-by-step explanation:

Subtract the 15 and the 2(they are the y-values) to get the length of one of the legs

Answer:

I think so it's right ....

Answer:

l

Step-by-step explanation:

Answer: 443

Step-by-step explanation:

Answer:

x = 11/5

Step-by-step explanation:

Step 1: Write equation

5x + 1 = 12

Step 2: Solve for x

Answer:

x = 11 / 5 or 2 ¹/₅

Step-by-step explanation:

5x + 1 = 12

5x = 12 - 1

x = 11 / 5 or 2 ¹/₅

Answer:

6.2 feet

Step-by-step explanation:

Triangle formed (in red) by the pet ramp is showing a right triangle.

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Length of leg 1 = 6 ft

Length of leg 2 = 1.5 ft

By substituting the values in the formula,

(Hypotenuse)² = 6² + (1.5)²

                        = 36 + 2.25

                        = 38.25

Hypotenuse = [tex]\sqrt{38.25}[/tex]

                     = 6.18

                     ≈ 6.2 ft

Therefore, length of the pet ramp is 6.2 ft.

Answer:

[tex](\frac{1}{14} ,-\frac{7}{6})[/tex]

Step-by-step explanation:

You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]

So, the Change In X is: [tex]\frac{4}{7} -\frac{3}{7} = \frac{1}{7}[/tex]

And the Change in Y is: [tex]-\frac{5}{3} - \frac{2}{3} = -\frac{7}{3}[/tex]

Once you divide both of the changes by 2, you get

X: [tex]\frac{1}{14}[/tex]

Y: [tex]-\frac{7}{6}[/tex]

So the midpoint is: [tex](\frac{1}{14} ,-\frac{7}{6})[/tex]

Answer:

its either c or b I'm pretty sure its b

Answer:

Step-by-step explanation:

6 x 8 = 48

11,04 x 6 = 66,24

66,24/48 = 1,38$

Answer: 4

Step-by-step explanation:

1. Subtract 2 from both sides.

5y=22 -2

This equals 5y=20

2.Divide by 5 on each side. That gets 4.

Hope it helped :)

Based on the number of household and its probability distribution, the  expected size of a household in Cityville is determined as 2.

option A is the correct answer.

The expected size of a household in Cityville is calculated by applying the following formula as follows;

Mathematically, the expected size of a household is calculated as;

P(x) · x

From the given number of household and its probability, the  expected size of a household in Cityville is calculated as;

= 0.21(1) + 0.28(2) + 0.16(3) + 0.22(4) + 0.06(5) + 0.04(6) + 0.02(7) + 0.01(8)

= 2.01

≈ 2

Thus, from the given number of household and its probability distribution, the  expected size of a household in Cityville is determined as 2.

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Hence, Y  =   -2x,  For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

Therefore,  For:   x  <  -5,  The Function:  Y  =  | x  -  5 |   +   | x  +  5 |

Simplifies to:   Y   =   -2x

To solve the problem, We need to consider the definition of the ABSOLUTE VALUE FUNCTION and the given condition:   x   <  -5

We will break the absolute value expressions into their respective cases and simplify the equation.

        Since:   x   <   -5,   We now have:

        x   -  5  <  0   and   x   +  5  <  0

        | x  -  5 |   =   -(x  -  5)   and  | x  +  5 |  =   -(x  +  5)

        Y  =   -(x  -  5)  +  ( -(x  +  5))

       Y   =   -x  +  5  -  x  -  5

        Y  =   -2x

        For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

        Simplifies to:    Y  =  -2x

Hence, Y  =   -2x,  For  x  <   -5,   The Function  Y  =  | x  -  5 |  +  | x  +  5 |

I hope this helps you!

Answer:

              [tex]\boxed{\,\bold{y=-6\left(x-\frac14\right)^2+\,\frac{19}8}\,}[/tex]

Step-by-step explanation:

[tex]y= -6x^2 +3x+2\\\\y=-6\big(x^2-\frac16\cdot3x-\frac16\cdot2\big)\\\\y=-6\big(x^2-\frac12x-\frac13\big)\\\\ y=-6\big(\underline{x^2-2\cdot x\cdot\frac14+(\frac14)^2}-(\frac14)^2-\frac13\big)\\\\ y=-6\big((x-\frac14)^2-\frac1{16}-\frac13\big)\\\\ y=-6(x-\frac14)^2+\frac38+2\\\\ \underline{y=-6(x-\frac14)^2+\frac{19}8}[/tex]

Answer: 4/3

Step-by-step explanation: To determine the slope, let's use the two points.

The slope or m is equal to the rise over run from one point to the next.

So let's start off with the lower point on the coordinate system.

To get from the lower point to the higher point,

we rise 4 units and run 3 units so our slope or rise/run is 4/3.

Answer: the commutative property

Step-by-step explanation: I took the test

Answer:

communicative property

Step-by-step explanation i just had it on my high school test also please thank me i just want to see if i get a notification

In the given problem, we need to determine the linear independence of the vectors (2 + x, e*) and the set S = {(1,0,1,0), (0,2,0,2), (2,6,2,6)}. To show that (2 + x, e*) is linearly independent, we need to demonstrate that the only solution to the equation a(2 + x) + be* = 0 is a = b = 0. For the set S, we can determine linear dependence by checking if there exist scalars a, b, and c, not all zero, such that a(1,0,1,0) + b(0,2,0,2) + c(2,6,2,6) = 0.

To show that (2 + x, e*) is linearly independent, we assume that a(2 + x) + be* = 0 for some scalars a and b. Expanding this equation, we get 2a + ax + be* = 0. Since e* is a nonzero vector, the only way for this equation to hold is if a = b = 0. Thus, (2 + x, e*) is linearly independent.

For the set S = {(1,0,1,0), (0,2,0,2), (2,6,2,6)}, we can determine linear dependence by checking if there exist scalars a, b, and c, not all zero, such that a(1,0,1,0) + b(0,2,0,2) + c(2,6,2,6) = 0. By performing the vector addition and scalar multiplication, we get (a + 2c, 2b + 6c, a + 2c, 2b + 6c) = (0, 0, 0, 0).

To determine if this equation has nontrivial solutions, we can set up a system of equations:

a + 2c = 0,

2b + 6c = 0,

a + 2c = 0,

2b + 6c = 0.

Simplifying these equations, we find that a = -2c and b = -3c. Since c can take any non-zero value, we have infinitely many solutions that satisfy the equation. Therefore, the set S is linearly dependent.

In conclusion, (2 + x, e*) is linearly independent, while the set S = {(1,0,1,0), (0,2,0,2), (2,6,2,6)} is linearly dependent.

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Answer:

N=6

Step-by-step explanation:

−3(

Answer:

- 9/7

Step-by-step explanation:

7x + 13 = 4

- 13 = -13

7x= -9

x = -9/7

Answer: 4 2/7 or if they want improper 30/7

Step-by-step explanation:

-2(x + 13) + 9x = 4

Distribute the -2 to the parentheses

-2x - 26 + 9x = 4

Combine like terms

7x - 26 = 4

Add 26 to both sides to get x by itself

7x = 30

Divide by 7 to get x by itself.

x = 30/7

Mixed = 4 2/7 normal = 30/7

Answer:

52

Step-by-step explanation:

3^3+3(3)^2-7(3)+19

27+27-21+19

54-2

52

Hope this helps

Answer:

6

Step-by-step explanation:

5^24 = 5^30/5^x subtract x from 30

5^24 = 5^30-x since the bottom numbers are equal the powers must be equal as well

24 = 30 - x

x = 6

Answer:

The amount will be y = 970

Step-by-step explanation:

Equation 1:

y =  60 + 65x

Equation 2:

y = 200 + 55x

Solve for x and y

60 + 65x = 200 + 55x

10x = 140

x = 14

y = 200 + 55 (14)

y = 970

HOPE THIS HELPS :)

Answer:

1) 14 months

2) $970

Step-by-step explanation:

We know that the Community Gym charges a $60 membership fee and a $65 monthly fee.

So, we can write the following equation:

[tex]y=60+65m[/tex]

Where y is the total cost, 60 is the one-time membership fee, and 65m is the cost for m months.

Workout Gym charges a $200 membership fee and a $55 monthly fee. So, we can write the following equation:

[tex]y=200+55m[/tex]

Where y is the total cost, 200 is the one-time membership fee, and 55m is the cost for m months.

Question 1)

We want to know after how many months will the total amount of money paid to both gyms be the same. So, let's set the equations equal to each other:

[tex]60+65m=200+55m[/tex]

To find the number of months, let's solve for m.

Subtract 55m from both sides:

[tex]60+10m=200[/tex]

Subtract 60 from both sides:

[tex]10m=140[/tex]

Divide both sides by 10:

[tex]m=14[/tex]

So, after 14 months, the cost of going to Community Gym or Workout Gym will be the same.

Question 2)

To find the amount, simply substitute 14 back into either equation. Let's do it for both.

We have:

[tex]y=60+65m[/tex]

Substitute 14 for m:

[tex]y=60+65(14)[/tex]

Multiply and add:

[tex]y=60+910=\$970[/tex]

We have:

[tex]y=200+55m[/tex]

Substitute 14 for m:

[tex]y=200+55(14)[/tex]

Multiply and add:

[tex]y=200+770=\$970[/tex]

So, after 14 months, both gym will cost $970.

And we're done!

Answer:

Should be D

Step-by-step explanation:

Answer:

84.134%

Step-by-step explanation:

We solve this question using the z score formula.

The formula for calculating a z-score is z = (x-μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We are were asked in the question that:

Suppose that adult women in China have heights that are normally distributed with a

mean = 155 centimeters

standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?

Using the z score formula

z = (x-μ)/σ

z = (163 - 155)/8

z = 8/8

z = 1

Determining the Probability value from Z-Table:

P(x ≤ 163) = P(x < 163)

= 0.84134

Converting to percentage

= 0.84134 × 100%

= 84.134%

The percent of Chinese women that are shorter than 163cm is 84.134%

Answer:

if your total grade is 69 then you get a 60 on a test your new grade would be a 64.5

Step-by-step explanation:

69+60=129

129÷2=64.5

Answer:

0>32/3. no solution

Step-by-step explanation:

hopes this helps