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Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.

The NPV is the present value of the cash inflows less the present value of the cash outflows.

= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow

Solving gives:

= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300

= $465.92

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Answer:

[tex]\sin x = 1-\sqrt 2[/tex]

Step by step explanation:

[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]

Answer:

y = 0

Here's the graph:

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation:

Answer -

a+1/a = 3 -----(1)

a²+1/a² = 7

By doing square of equation 1

(a+1/a)² = 9

a²+1/a²+ 2 ×a × 1/a = 9 using (a+b)²=a²+b²+2ab

a²+1/a²+2=9

a² + 1/a² = 9-2

a²+1/a²= 7 Ans.

Answer:

make a stem and leaf plot as it says

Step-by-step explanation:

answer it yourself

Answer:

Step-by-step explanation:

According to the table 27 out of 50 surveyed households have 2 adults living in their home.

Use same ratio to find the total expected number:

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.

Some of the closing costs include:

Question Completion and Calculations:

Application Fee $252

Borrower’s Credit Check $65

Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)

Appraisal Fee $325

Title Search $212

Title Insurance $410

Inspection $350

Attorney Fee $450

Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)

Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)

Total closing costs = $16,344

Mortgage loan = $420,000

Total amount of financing required = $436,344 ($420,000 + $16,344)

Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

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Answer:51.16

I hope this works for you.

Answer:

Congrates

Step-by-step explanation:

Answer:

that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]

Answer:

Two possibilities   --- see below

Step-by-step explanation:

x  first number   x+2  the next number

x   *   (x+2)  = x^2 + x = 1155

x^2 +2 x - 1155 = 0     Quadratic formula  shows

                                    x = 33   then    33, 35    

                                 or  x = -35   then  -35 , - 33

Answer:

check photo for detailed analysis

Answer:

48 square units

Step-by-step explanation:

area of triangle = base * height / 2

base = x+1

height = 8x

area = (x+1)(8x)/2 = (8x²+8x)/2 = 4x²+4x

area of rectangle = length * width = (5x+1)(x) = 5x²+x

set the two areas to be equal to each other

5x²+x = 4x²+4x

divide both sides by x as that is a multiple of each value on each side

5x + 1 = 4x + 4

subtract 4x from both sides to limit the variable to one side

x + 1 = 4

subtract both sides by 1 to isolate the variable

x = 3

area = (5x+1)(x) = (5*3+1)(3) = 16 * 3 = 48 square units

Answer:

A

a notebook costs $2.50

a poem costs $1.50

B

he can buy 3 pens (and correspondingly 9 notebooks)

Step-by-step explanation:

x = price of 1 notebook

y = price of 1 pen

4x + 3y = 14.5

5x + 6y = 21.5

let's multiply the first equating by -2 and then add both equations

-8x - 6y = -29

5x + 6y = 21.5

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

-3x 0 = -7.5

x = 2.5 = $2.50

4×2.5 + 3y = 14.5

10 + 3y = 14.5

3y = 4.5

y = 1.5 = $1.50

p = number of pens

n = number of notebooks

n = 3p

p×1.5 + n×2.5 = 27

p×1.5 + 3p×2.5 = 27

(1.5 + 7.5)p = 27

9p = 27

p = 3

Answer:

Either the variable or unknown number, it depends on what options you have.

Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm

To answer the question, we need to know Hooke's law.

This states that the force, F on a stretched spring is directly proportional to its extension, x.

So, F ∝ x

Mathematically, F = kx where k = spring constant

Making x subject of the formula, we have

x = F/k

Given that F = 37 N and k = 380 N/m, we have

x = F/k

x = 37 N/380 N/m

x = 0.0974 m

x = 9.74 cm

So, the spring stretches by 9.74 cm

Learn more about stretched spring here:

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Answer:

40/169

Step-by-step explanation:

Answer:

3x 10^4 NOT NEGATIVE! POSITIVE

Answer:
Well I mean There  are multiple solutions I think, a = 26.25

Step-by-step explanation:

Simplifying

12a + 7c = 315

Solving

12a + 7c = 315

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7c' to each side of the equation.

12a + 7c + -7c = 315 + -7c

Combine like terms: 7c + -7c = 0

12a + 0 = 315 + -7c

12a = 315 + -7c

Divide each side by '12'.

a = 26.25 + -0.5833333333c

Simplifying

a = 26.25 + -0.5833333333c

[tex]12a+7c=315\\\\\implies 12a = 315-7c\\\\\implies a = \dfrac{315-7c}{12}\\\\\implies a = \dfrac{7}{12}(45-c)[/tex]

Answer:

The answer is 290,837

Answer:

B=49

Step-by-step explanation:

multiply means add powers

Answer:

mukaka

Step-by-step explanation:   so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.

Answer:

For ur information...

Area can never be negative

It will always be positive

Answer:

chord divides a circle into two segments

Step-by-step explanation:

please consider as brainlest if i helped yoy

Answer:

Two

Step-by-step explanation:

A chord divides a circle into two segments

Answer:

384 cm

Step-by-step explanation:

Perimeter is the sum of all external sides. (do not mix this up with area. Perimeter is the easy one) :)

There are 4 external sides.

Top = bottom = 132 cm

Left = Right = 60 cm

Add all 4 sides:

2(132) + 2(60)

264 + 120 = 384 cm