quadratic form to vertex form with a vertex of (-4,-1) and a y-intercept of 7

The present value of the payments is $73,600.87.

Present value of a cash flow is the value of the cash flow today. This is determined by adding the discounted cash flows of the cash flows together.  

Discounted year 1 cash flow: 10,000 / (1.06) = 9,433.96

Discounted year 2 cash flow: 10,000 / (1.06)^2 = 8,899.96

Discounted year 3 cash flow: 10,000 / (1.06)^3 = 8,296.19

Discounted year 4 cash flow: 10,000 / (1.06)^4 = 7,920.94

Discounted year 5 cash flow: 10,000 / (1.06)^5 = 7,472.58

Discounted year 6 cash flow: 10,000 / (1.06)^6 = 7,049.61

Discounted year 7 cash flow: 10,000 / (1.06)^7 = 6,650.57

Discounted year 8 cash flow: 10,000 / (1.06)^8= 6,274.12

Discounted year 9 cash flow: 10,000 / (1.06)^9 = 5,918.98

Discounted year 10 cash flow: 10,000 / (1.06)^10 = 5,583.95

The sum of the discounted cash flows = $73,600.87

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Answer:

Step-by-step explanation:

Sum of four numbers =4x5=20

Sum of three numbers =3x4=12

So fourth number =20-12=8

Answer:

Step-by-step explanation:

Sum of two digits can be less than 20, therefore A = 1 is the only option for A, since AB ≤ 19.

Substitute A:

Then Y = 0 or Y = 5.

Y = 0 doesn't work as it leads to B = 1, which is a repeat of A.

So Y = 5.

Substitute Y:

We see B = 2 is the only option for B, since X + Z = 11, add 1 to 1 (5 + 5 gives us 1 for 10).

Substitute B:

Possible options for X and Z:

Answer: x= -0.3,2

Step-by-step explanation:

Combine your like terms then solve.

Answer:

Step-by-step explanation:

Sum = 5

Product = -6

Factors = (-1) ; 6    {-1+ 6 = 5  & (-1)*6 = -6}

3x² + 5x - 2 = 0

3x² - x + 6x - 2 = 0

x(3x - 1) + 2(3x - 1) = 0

(3x - 1)(x + 2) = 0

Answer: 7

Step-by-step explanation:

Negatives cancel out and it turns into -2+9 which is 7

:)

Answer:

losing,losing,losing.

The lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals.

The lower bound for the 95% confidence interval can be calculated using the following formula:

Lower Bound = Percentage - (1.96 * Margin of Error)

In this case, the lower bound is calculated as:

Lower Bound = 38% - (1.96 * 2%) = 33.8%

Therefore, the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

Learn more about the upper and lower bound range here:

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Answer:

268.4

Step-by-step explanation:

20% in decimals is 0.2

to find 20% of 1342, you multiply 0.2 by 1342

0.2 x 1342 = 268.4

Answer:

31.4 cm2

Step-by-step explanation:

The radius of the circle is 10cm.

The formula for area of a circle is: A= pi r^2.

If we plug this in, [tex]A=3.14(10)^{2}= 134[/tex]

Now divide that by 4. This gives you 33.5, which 31.4 is closest to.

[tex] 5x +(3x −3)=6x +11\\\\5x+3x-3=6x+11\\\\5x+3x-6x=11+3\\\\2x=14\\\\x=\frak{\dfrac{14}{2}}\\\\x=7 [/tex]

Answer:

x= -8/3

Step-by-step explanation:

(x-6)-(x+2)=3x

step 1) remove parentheses

x-6-x-2=3x

step 2) combine like terms

-8=3x

step 3) solve for x by dividing by 3 on both sides

-8/3 = x

Answer:

See below

Step-by-step explanation:

Hi there!

We want to solve the following equation:

(x-6)-(x+2)=3x

In this equation, notice how in front of (x+2), there is a minus sign

It's the same as if the equation was:

(x-6) + -1(x+2)=3x

We'll need to distribute the -1 to both terms, x and 2

so:

-1(x+2)= -1*x + -1*2= -x + -2, or -x-2

As for the (x-6), we can just open up the parenthesis without doing anything.

So on the left side, it becomes:

x -6 -x -2 = 3x

Now we can combine like terms.

x and -x are like terms, while -6 and -2 are like terms

x and -x add up to equal 0, while -6 and -2 add up to equal -8

-8 = 3x

Now, we have 3x by itself, but remember we just want x, or 1x.

Dividing a number by itself will result in 1

So we can divide both sides by 3

*note: we shouldn't divide by 3x. When we divide by 3, the result is [tex]\frac{3x}{3}[/tex], which if we cancel out the 3 from the numerator and denominator, gets the same result as 1x. If we divided by 3x, we'd just be getting 1 on the right side, while we'd be getting [tex]-\frac{8}{3x}[/tex] on the left, which isn't what we want.

-8/3=x

Hope this helps!

Answer:

<-8,10>

Step-by-step explanation:

Apply Regular Subtraction rules

(-8,10)

Answer:

£140 : £210

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5 parts

Divide the total by 5 to find the value of one part

£350 ÷5 = £70 , then

2 parts = 2 × £70 = £140

3 parts = 3 × £70 = £210

£350 in the ratio 2 : 3 is £140 : £210

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(-6)2 + (-8\div 4)}\\\mathsf{\rightarrow -6(2) + (-8\div4)}\\\large\mathsf{\rightarrow-12 + (-8\div4)}\\\mathsf{\rightarrow -12 + (-2)}}\\\mathsf{\rightarrow -12 - 2}\\\mathsf{\rightarrow -14}\\\\\\\large\textsf{Therefore, your answer is: \boxed{\mathsf{-14}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-14

Step-by-step explanation:

Step 1 :- Distribute 2 through parantheses.

Step 2 :- Divide the number in the brackets.

Step 3 :- When there is a + in the front of an expression in parantheses, the expression remains the same .

Step 4 :- Calculate the difference.

Therefore , the answer of this expression is -14.

Answer:8

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the equation y=kx+1, k is the slope and 1 is the y-intercept.

To find the slope, use the formula k=y2-y1/x2-x1. To use this formula, you need two points. The first point, point M, is given to you. The second point can be the y-intercept, point (0, 1). Now, apply the formula to find the slope: k=3-1/1-0

k=2/1

k=2

We now have the equation y=2x+1.

The next step is to graph the line.

First, graph the y-intercept. Should look something like this: (star represents point. the point is on (0, 1).)

           |

           |

           *

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

           |

           |        

Then, use the slope to find your second point: (the point is on (1, 3)).

           |    *

           |

           *

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

           |

           |        

Draw a line through those two points and you have your answer!

Answer:

c = 9.

Step-by-step explanation:

Complete the square:

x^2 - 6x + (-3)^2 = 0

x^2 - 6x + 9 = 0

(x - 3)^2 = 0

so the root is 3 and c = 9.

Step-by-step explanation:

Subtract

x2

from both sides of the equation.

−6x+c=−x2

Add

6x

to both sides of the equation.

c=−x2+6x

Step-by-step explanation:

Odd and even numbers I think so

Answer:

I guess 0

Step-by-step explanation:

As 0 has no value

Answer: 7/15

Step-by-step explanation:

Answer:

opposite is 7/15

Step-by-step explanation:

On a number line -7/15 is the same distance away from 0 as 7/15.

Answer:

A. 8/11 is larger because when using cross multiply 2 times 11 is 22 while 8 times 3 is 24

B. 23/33

Step-by-step explanation:

Answer:

regrouping: 1  1

first addend: 2 8 7

second addend:  5 6

sum: 3  4  3

Step-by-step explanation:

first: add the digits in the ones column  

2  8  7

+   5  6

        13

because the answer is two digits, you leave the digit in the ones space in the answer, and move the digit in the tens space to the regrouping area above the tens column in the problem. it should look like this:

  1

2  8  7

+  5  6

       3

then add the digits in the tens column. you also add the regrouped number.

   1

2  8  7

+  5  6

   14 3

once again, the answer is two digits, so you repeat the same process, except since the digits are already in the tens place, you move the first digit above the hundreds place:

1   1

2  8  7

+  5  6

   4 3

add the hundreds column:

1   1

2  8  7

+  5  6

3  4  3

this is you answer

have a wonderful day <3

The sum of the number 287 + 56 by vertical table will be 343.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Use the table to add 287 + 56 vertically. Then we have

                                 Hundreds          Tens          Ones

Regrouping                    1                       1            

First addend                  2                      8                7

Second addend            0                      5                6

Sum                               3                       4                3

The sum of the number 287 + 56 by the vertical table will be 343.

More about the Algebra link is given below.

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Answer:

Joe is selling eggs on the market. He has a total of 300 eggs to sell. He is selling the eggs in batches of x amount of eggs. A customer wants to buy 15 batches of eggs. After the transaction, Joe's total amount of eggs is less than Macy's. Macy has a 200 eggs.

Real world scenarios can be represented by inequalities, and vice versa.

The inequality is given as:

[tex]300 - 15x < 200[/tex]

A possible scenario is as follows

How long will it take the number of people in a train station to be less than 200, if there are currently 300 people at the station, and 15 people leave the station every minute.

In the above scenario;

x represents the number of minutes

Since 15 people leave each minute, then 15x people would have left after x minutes.

The initial population is given as 300.

So, the current population after x minutes is 300 - 15x.

The current population is to be less than 200.

So, we have:

[tex]300 - 15x < 200[/tex]

Read more about inequalities at:

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Answer:

I think the answer is true

Step-by-step explanation:

MNO is a right triangle because one of its angles is a right angle and it has a hypotenuse (the longest side) and two legs (the other two sides that are always shorter than the hypotenuse.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Answer:

$13.20

Step-by-step explanation:

84.6-5.4=79.2

79.2/6=13.2

Answer:

A) right

B) acute

C) obtuse

D) acute

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pythagoras simply says that for a right triangle, the sum of the squares of the two shorter legs will equal the square of the hypotenuse.

a² + b² = c²

in this case a = x

                  b = x + 2

                   c = x + 3

x² + (x + 2)² = (x + 3)²

x² + (x + 2)² = (x + 3)²

x² + (x² + 4x + 4) = (x² + 6x + 9)

       2x² + 4x + 4 = x² + 6x + 9

           x² - 2x - 5 = 0

quadratic formula

x = (2 ±√(2² - 4(1)(-5))) / (2(1))

x = (2 ± √24) / 2

a negative length does not make sense so

x = 1 + √6

     x ≈ 3.4

x + 2 ≈ 5.4

x + 3 ≈ 6.4