3 3/4 divided by 4/5 pls help ASAP

Answer:

Step-by-step explanation:

The profitability index (PI) is a measure used in capital budgeting to evaluate the financial viability of an investment. It is calculated by dividing the present value of the future cash flows by the initial investment. The formula for calculating the profitability index is:

PI = Present value of future cash flows / Initial investment

To calculate the present value of the future cash flows, we need to discount each cash flow to its present value using the required return of 8.4 percent. The present value of each cash flow is as follows:

Year 0: -$249,000 (no discounting necessary for the initial investment)

Year 1: $147,100 / (1 + 0.084)^1 = $135,870.37

Year 2: $164,600 / (1 + 0.084)^2 = $137,672.76

Year 3: $129,700 / (1 + 0.084)^3 = $100,636.20

The present value of the future cash flows is the sum of the present values of each cash flow:

PV = $135,870.37 + $137,672.76 + $100,636.20 = $374,179.33

Now we can calculate the profitability index:

PI = $374,179.33 / $249,000 = 1.5035

Therefore, the profitability index for this project is 1.5035. This means that for every dollar invested in the project, the project is expected to return $1.50 in present value of future cash flows. A profitability index greater than 1.0 indicates that the project is expected to generate positive net present value and is therefore a good investment.

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

After integration, the required function f is (2x³ - sin (x) + Cx + D).

What is the integration of 'xⁿ' and 'sin (x)'?

\(\int {x^{n} } \, dx = \frac{x^{n+1} }{n+1} + C\\\\\\\int {sinx} \, dx = -cosx + C\)

Given, f''(x) = 12x + sin x

Therefore,

\(\int {f''(x)} \, dx \\\\=\int {f'(x)} \, dx \\\\\\= \int{12x + sin x} \, dx + C\\\\= 6x^{2} - cosx + C\\\)

Again, f'(x) = 6x - cos (x) + C

Therefore,

\(\int {f'(x)} \, dx\\ \\=\int {f(x)} \, dx \\\\= \int {6x^{2} - cosx + C } \, dx \\\\= 2x^{3} - sinx + Cx + D\)

Therefore, the required function is (2x³ - sin (x) + Cx + D).

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Answer:

(-9,-6) ,(-3,0),(-2,1),(4,7)(6,9)

Answer:

x = -9 —> f(x) = – 6

x = -3 —> f(x) = 0

x = -2 —> f(x) = 1

x = 4 —> f(x) = 7

x = 6 —> f(x) = 9

Step-by-step explanation:

x = -9 —> f(x)= x+3 —> f(-9)= -9+3 = -6 —> f(x) = – 6

x = -3 —> f(x)= x+3 —> f(-3)= -3+3 = 0 —> f(x) = 0

x = -2 —> f(x)= x+3 —> f(-2)= -2+3 = 1 —> f(x) = 1

x = 4 —> f(x)= x+3 —> f(4)= 4+3 = 7 —> f(x) = 7

x = 6 —> f(x)= x+3 —> f(6)= 6+3 = 9 —> f(x) = 9

I hope I helped you^_^

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer: 42.7 minutes

Step-by-step explanation:

There are 72 minutes in 1.2 hours (60 * 1.2 = 72)

If you can walk 4.7 miles in 72 minutes, how many minutes does it take to walk 2.79 miles?

First you need find out what 2.79 / 4.7 equals

2.79 / 4.7 = 0.593617

Now to find out how many minutes it takes to walk 2.79 miles, you multiply 0.593617 by 72

72 * 0.593617 = 42.740424

42.740424 rounds down to 42.7

Answer:

9/8 x 9/8 = 81/64 in fraction form.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\frac{81}{64}\)

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

\(\boxed{\text{Calculating the answer...}}\\\\(\frac{9}{8})^2\\\\\text{Recall the power of a fraction rule: } (\frac{a}{b})^x =\frac{a^x}{b^x}\\\\\rightarrow (\frac{9}{8})^2 =\frac{9^2}{8^2} =\boxed{\frac{81}{64}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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The length of AB is 4.6 inches.

An arc is a part of a circle i.e. an incomplete circle. It can be either a major arc or a minor arc of a given circle.

The length of an arc can be determined by;

length of an arc = (θ/ 360)*2πr

Where r is the radius of the circle, and θ is the measure of its central angle.

In the given diagram, the arc AB is a minor arc. So that;

AB = (θ/ 360)*2πr

r = d/2

 = 22/2

r = 11 inches

AB = (24/ 360)*2*3.14*11

     = 4.6053

AB = 4.6 inches

The length of arc AB is 4.6 inches.

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The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Answer:

63.6

Step-by-step explanation:

X=£fx/n

= 88+80+75+70+38+45+70+60+60+50/10

= 636/10

= 63.6

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Please feel free to ask if you have any questions.

Thanks

Answer:

16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)

Answer:

The exponential function is

\(y = {2}^{x} \)

Answer:

6x-3=15

Step-by-step explanation:

Answer:

Step-by-step explanation:sdf

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

A: 336 km

B: 14 L

Step-by-step explanation:

Use a proportion

210 km / 5 L = x / 8L         Cross multiply

8*210  = 5 x

1680  = 5x

x = 1680 / 5

x = 336 km

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

210 /5 = 588/x                   Cross multiply

210x = 588 * 5

210x = 2940                     Divide by 210

x = 2940/210

x = 14 L

Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7

Answer:

3000

Step-by-step explanation:

Answer:

300

Step-by-3step explanation:

Answer:

\(m = (n2m1 + n1m2) \(n1 + n2)\)

Answer: 4 hours and 48 minutes

Step-by-step explanation:

120 miles divided by 25 mph

= 4.8

= 4 hours

0.8 x 60

= 48 mins

0 x 60 = 0

Answer:

12x  2 −48x+36

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

do you need help???

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

You can determine the correct function by looking at the function and graph values at x = 1.

For some constant k, the function is ...

  (g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x

For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...

  (g·h)(1) = 6

  -k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1

  k = -2 . . . . . . . . . divide by -3

The function h(x) is ...

  h(x) = -2x

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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