I need help asapp pls

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

36

Step-by-step explanation:

Answer: HK is about 14.2 yards.

Step-by-step explanation: To find HK, we need to use the triangle angle sum theorem, which states that the sum of all the interior angles of a triangle is 180 degrees. We can use this theorem to find the missing angle in triangle HJK.

We know that m<H = 40° and m<K = 50°. So, m<J = 180° - (40° + 50°) = 90°. This means that triangle HJK is a right triangle, and we can use the Pythagorean theorem to find HK.

The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, HK is the hypotenuse, and JK and HJ are the other two sides. So, we have:

\(HK^2 = JK^2 + HJ^2 HK^2 = (13 yards)^2 + (HJ)^2\)

To find HJ, we need to use trigonometry. We can use the tangent ratio, which relates an acute angle in a right triangle to the opposite side and the adjacent side. In this case, we can use angle H:

tan(H) = opposite/adjacent tan(40°) = HJ/JK HJ = tan(40°) * JK HJ = tan(40°) * 13 yards HJ ≈ 11 yards

Now, we can plug this value into the Pythagorean theorem and solve for HK:

HK^2 = (13 yards)^2 + (11 yards)^2 HK^2 = 169 yards^2 + 121 yards^2 HK^2 = 290 yards^2 HK = √290 yards HK ≈ 14.2 yards

Therefore, HK is about 14.2 yards long. Hope this helps! =)

The inequality comparing 2 - 4√5 with 1/3 for ≥1 is: 2 - 4√5 < 1/3 for n≥1.

To obtain this inequality, we first simplify the expression 2 - 4√5 by multiplying the numerator and denominator of the fraction by 3√5:

2 - 4√5 = 2(3√5)/ (3√5) - 4√5 = (6√5 - 12) / 3√5 = 2(3 - √5) / 3√5

We can then compare this expression with 1/3 by multiplying both sides of the inequality by 3√5:

2(3 - √5) / 3√5 < 1/3

6 - 2√5 < 3√5 / 9

Multiplying both sides of the inequality by 9 gives:

54 - 18√5 < √5

Squaring both sides of the inequality gives:

2916 - 1080√5 + 90 < 5

Subtracting 85 from both sides of the inequality gives:

2831 - 1080√5 < 0

Therefore, we have the inequality:2 - 4√5 < 1/3 for n≥1.

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Answer:

(2,0)

Step-by-step explanation:

x-y=2, y=4-2x

1. rearrange the first equation

x-y=2 write the equation

(x-)x-y=2(-x) subtract x from both sides

-y=2-x write the equation

divide both sides by -y

y=-2+x

2. graph the equations and get (2,0)

Answer:

Step-by-step explanation:

#CaRRyOnLeArNinG

Answer:

512

Step-by-step explanation:

you need to find the value of 8 cubed which is 8^3. All 8^3 means is multiplying 8 three times so 8 × 8 × 8 = 512.

Answer:

1) slope of the line \(m = \frac{1}{4}\)

2) slope of the line     \(m = \frac{11}{8}\)

3) slope of the line   m =2

4) slope of the line   \(m = \frac{-8}{3}\)

5) slope of the line m =7

Step-by-step explanation:

1)

Given points are  (4,5) and (-4,3)

slope of the line  Formula

             \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

            \(m = \frac{3 - 5 }{-4-4 } = \frac{-2}{-8} = \frac{1}{4}\)

            \(m = \frac{1}{4}\)

2)

Given points are (-2,-4) and (6,7)

slope of the line  Formula

             \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

            \(m = \frac{7 - (-4) }{6-(-2) } = \frac{11}{8}\)

            \(m = \frac{11}{8}\)

3)

Given points are (2, -4) and (10,12)

slope of the line  Formula

             \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

            \(m = \frac{12 - (-4) }{10-(2) } = \frac{16}{8} =2\)

            \(m = 2\)

4) Given points are

      (1/2,2) and (1, 2/3)

  slope of the line  Formula

             \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

            \(m = \frac{\frac{2}{3} - (2) }{1-(\frac{1}{2} ) } = \frac{\frac{-4}{3} }{\frac{1}{2} }\)

            \(m = \frac{-8}{3}\)

5)

Given points are

      (1/4,5) and (5/4 , 12)

  slope of the line  Formula

             \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

            \(m = \frac{12-5}{\frac{5}{4} -\frac{1}{4} } = \frac{7}{\frac{4}{4} } = 7\)

            \(m = 7\)

Answer:

241

Step-by-step explanation:

260+39-58=241

Answer:

I believe the answer would be 3m+2=18

Don't forget to click the heart

Step-by-step explanation:

The equation 3m + 2 = 18 represents the two added to three times a number m is the same as 18.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The equation in word form is:

Two added to three times a number m is the same as 18.

Here m is the number.

Three times the number m = 3m

The addition of the numbers 3m and 2 = 3m + 2

The quantity 3m + 2 is equal to 18

The equation becomes:

3m + 2 = 18

The above equation represents the two added to three times a number m is the same as 18.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Thus, the equation 3m + 2 = 18 represents the two added to three times a number m is the same as 18.

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The number of cups that Tim drank is 1 11/42 cups of milk.

It should be noted that based on the information, the question has to do with fractions.

In this case, Tim drank 5/6 cup of milk at breakfast and 3/7 of a cup of milk at dinner.

Therefore, the total milk will be the addition of the fractions. This will be:

= 5/6 + 3/7

= 35/42 + 18/42

= 53/42

= 1 11/42

He drank 1 11/42 cups.

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Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.

To calculate the percent of students who take the bus to school, we can use the information provided in the circle graph. There are a total of 50 students surveyed, and the graph indicates that 20 of them take the bus. To find the percent, we can first divide the number who take the bus (20) by the total number surveyed (50). This gives us 0.4, which, when multiplied by 100, is 40%. Therefore, 40% of the students surveyed take the bus to school. Hence, Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.

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The Maclaurin series for the function f(x) = 6x³e^(-3x) a is given by f(x) = 0 + 0x + 0x² + x³/3 + ∑n = 4∞​​cn​xn, where cn​ = fⁿ⁽⁰⁾/ⁿ! for n = 4, 5, 6, ...

Given that f(x) = 6x³e^(-3x) a. The Maclaurin series of the function is given byf(x) = ∑n = 0∞​​cn​xn, where the first few coefficients are: c1​=c2​=c3​=c1​=We can obtain the Maclaurin series for f(x) by calculating the derivatives of f(x) and evaluating them at x = 0.

So, let us begin by calculating the derivatives of f(x).f(x) = 6x³e^(-3x) aLet u = 6x³ and v = e^(-3x) a. Using the product rule, we have:f'(x) = u'v + uv'f'(x) = (18x²)(e^(-3x)) + (6x³)(-3e^(-3x)) a= 18x²e^(-3x) - 18x³e^(-3x) a

Letting u = 18x² and v = e^(-3x) a, we have:f''(x) = u'v + uv'f''(x) = (36x)(e^(-3x)) + (18x²)(-3e^(-3x)) a= 36xe^(-3x) - 54x²e^(-3x) a

Letting u = 36x and v = e^(-3x) a, we have:f'''(x) = u'v + uv'f'''(x) = (36)(e^(-3x)) + (36x)(-3e^(-3x)) a= 36e^(-3x) - 108xe^(-3x) a

Letting x = 0 in f(x) and its derivatives, we obtain:f(0) = 6(0³)e^(0) a = 0f'(0) = 18(0²)e^(0) a = 0f''(0) = 36(0)e^(0) a = 0f'''(0) = 36e^(0) - 108(0)e^(0) a = 36

We can now write the Maclaurin series for f(x) using the formula:f(x) = ∑n = 0∞​​cn​xn, where cn​ = fⁿ⁽⁰⁾/ⁿ!, where fⁿ⁽⁰⁾ denotes the nth derivative of f evaluated at x = 0.

Substituting the values of fⁿ⁽⁰⁾ for n = 0, 1, 2, 3 in the formula for cn​, we obtain:c0​ = f⁽⁰⁾⁽⁰⁾/⁰! = f(0) = 0c1​ = f¹⁽⁰⁾/¹! = f'(0) = 0c2​ = f²⁽⁰⁾/²! = f''(0)/2! = 0/2 = 0c3​ = f³⁽⁰⁾/³! = f'''(0)/3! = 36/3! = 6

The Maclaurin series for f(x) is therefore:f(x) = 0 + 0x + 0x² + 6x³/3! + ∑n = 4∞​​cn​xn= 0 + 0x + 0x² + x³/3 + ∑n = 4∞​​cn​xn .

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Answer:

75%

Step-by-step explanation:

Assume Teresa can vote for herself. 60/80=3/4=75%

Answer:

20

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

     +s          +s

6 - 4s = 60

-6         -6

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

-4s = 54

-----   -----

 -4     -4

   s ≅ 14

14 + 6 = 20

Answer:

20.

Step-by-step explanation:

x = father's age and y = son's age,

x + y = 60

x - 6 = 5(y - 6)

x - 5y = -24

Subtract this from first equation:

6y = 84

y = 14

So the son's age is 14.

Six years time son will be 20.

Answer:

y+5=-4(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-4(x-3)

y+5=-4(x-3)

Answer:

9 brushes

Step-by-step explanation:

\(54 \div 6 = 9\)

54 paint brushes / 6 jars =

9 paint brushes per jar

Answer:

There are 9 brushes in each jar.

Step-by-step explanation:

Given information,

→ An art store has 54 paint brushes.

→ equal no. of brushes in each of 6 jars.

Now the brushes in each jar is,

→ 54 brushes ÷ 6 jars

→ 54/6 = 9 brushes

Hence, there are 9 brushes in each.

Answer:

v = 9x9x0.5x5 = 202.5 ft^3

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16

Answer:

16

Step-by-step explanation:

Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.

After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.

Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.

So, the bookstore has 56 - 40 = 16 copies left.

The percentage increase in the working hours will be 4.9%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Since in 2019 the average full time worker in the us spent 8.5 hours working each workday. this is an increase on the average of 8.1 hours per workday in 2014.

The percentage increase will be:

= (8.5 - 8.1) / 8.1 × 100

= 0.4 / 8.1 × 100

= 4.9%

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Arranging the given distances from sea level on the number line, we have;

The given elevation of the lowest points in the six countries are;

Country. Lowest point elevation (m)

China. →. -154

Egypt →. -133

Azerbaijan → -28

Serbia. →. 35

Israel. → -408

Laos. →. 70

Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;

Israel → -408

China → -154

Egypt → -133

Azerbaijan → -28

Serbia. → 35

Laos. →. 70

On a number line, we have;

Israel < China < Egypt < Azerbaijan < Serbia < Laos

Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.

However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).

The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.

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Answer:

She will need to pay $206.50 per month.

Step-by-step explanation:

Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:

 $2,478

---------------- = $206.50/month

12 months

She will need to pay $206.50 per month.

The exponential function given by the given table is; f(x) = 9(2ˣ)

The general form for an exponential function is;

y = a(bˣ)

where b > 0, b ≠ 1, and x is any real number.

Taking the first coordinate on the table gives;

(0, 9) and as such we have the equation;

9 = ab⁰

a = 9

For the second coordinate, (1, 18), we have;

18 = 9(b)¹

b = 18/9

b = 2

This gives the equation as; y = 9(2ˣ)

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Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction

Answer:

2x + y = 35

The value of function f (x) will be;

⇒ \(f (x) = - 2 x^{1/2} * 2 + 3x - 4\)



Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division



Given that;

The value of function is,

⇒ \(f '' (x) = \frac{1}{x^{3/2} }\)

And, f ' (4) = 2 , f (4) = 0

Now,

Since, The value of function is,

⇒ \(f '' (x) = \frac{1}{x^{3/2} }\)

After integration we get;

⇒ \(f '(x) = - 2 x^{- 1/2} + c\)

Here, f ' (4) = 2

Put x = 4 in above function, we get;

⇒ \(f '(x) = - 2 x^{- 1/2} + c\\2 = - 2 * 4^{- 1/2} + c\\ 2 = - 2/2 + c\\c = 3\)

Hence, We get;

⇒ \(f'(x) = - 2x^{- 1/2} + 3\)

Again integrating, we get;

\(f (x) = - 2 x^{1/2} * 2 + 3x + b\\f (x) = - 4 x^{1/2} + 3x + b\)

Here, f (4) = 0

Put x = 4 in above function, we get;

\(f (4) = - 4 * 4^{1/2} + 3*4 + b\\0 = - 4 * 2 + 12 + b\\b = - 4\)

So, We get;

⇒ \(f (x) = - 2 x^{1/2} * 2 + 3x - 4\)

Thus, The value of function f (x) is,

⇒ \(f (x) = - 2 x^{1/2} * 2 + 3x - 4\)



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Answer:

D

Step-by-step explanation:

The correct answer is D because 7 plus 3 is 10, not 11

Answer:

C

Step-by-step explanation:

The roots of the function are - 3, - 2 and 2. The function will be (x+3)(x+2)(x-2)

Problem 1

The error happens on the third step. The result should be 47 degrees (approximately). Refer to the steps below to see how I got that value.

\(\frac{\sin x}{7} = \frac{\sin 110^{\circ}}{9}\\\\\sin x = \frac{7*\sin 110^{\circ}}{9}\\\\\sin x \approx 0.73087203838903\\\\x \approx \sin^{-1}(0.73087203838903)\\\\x \approx 46.9595500055922^{\circ}\\\\x \approx 47^{\circ}\\\\\)

Make sure your calculator is in degree mode.

If I had to guess where the \(m\angle \text{x} = 73^{\circ}\) mistakenly came from, it's probably from the 0.73 shown on step 3, but the student somehow lost the decimal point out front.

==========================================================

Problem 2

The error happens on step 1. The sin(120) should be over top the 35 because the 120 degree angle is opposite the side length of 35.

Similarly, the sin(50) should be over the x

Each fraction involves the angle with its paired opposite side, and vice versa.

Here's one way to write the correct steps to find x.

\(\frac{\sin(120)}{35} = \frac{\sin(50)}{x}\\\\x\sin(120) = 35\sin(50)\\\\x = \frac{35\sin(50)}{\sin(120)}\\\\x \approx 30.9593175812171\\\\x \approx 30.96\\\\\)