Dawn's credit card has an APR of 15%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.

R(x) is a polynomial of degree 7, so it has up to 7 distinct complex roots r₁, ..., r₇, and we can write it in terms of these roots as

R(x) = (x - r₁) (x - r₂) ... (x - r₇)

The coefficients of R(x) are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if a + b i is a root, then is a - b i is also a root.

(a) We're told that -5 - 3i and 2i are roots to R(x), so we also know that -5 + 3i and -2i are roots.

There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either

(b) at most 3 real roots, or

(c) at most 2 non-real roots and 1 real root.

Answer:

n=3

Step-by-step explanation:

9 x -1 x n = 9 x -3

-9n=-27

9n=27

n=27/9

n=3

So value of n is 3

Answer:

a horizontal line pass the y axis of -5

Answer:

a the answer is a

Step-by-step explanation:

Answer:

He is wrong i took the test and it is three/B

Step-by-step explanation:

Brainlyiest pls

Answer:

C. (9, 26)

Step-by-step explanation:

By Substitution:

y = 2x + 8

y = 3x - 1

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

2x + 8 = 3x - 1

-x + 8 = -1

-x = -9

x = 9

Now we can choose either of the two equations given to solve for y:

y = 2x + 8

y = 2(9) + 8

y = 18 + 8

y = 26

(9, 26)

By Elimination:

For this process, I am going to rewrite the equation in "x + y" for as it will make it easier to eliminate the variables

y = 2x + 8

2x - y = -8

y = 3x - 1

-3x + y = -1

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

2x - y = -8

-3x + y = -1

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

-x = -9

x = 9

2x - y = -8

2(9) - y = -8

18 - y = -8

-y = -26

y = 26

(9, 26)

Answer:

x = 4

Step-by-step explanation:

4(2x-1) = 11+3x+5 simply both sides

(4)(2x)+(4)(-1) = 11+3x+5

distribute

8x+(-4) = 11+3x+5

8x−4=(3x)+(11+5) Combine Like Terms

8x−4=3x+16

8x−4=3x+16

Subtract 3x from both sides.

8x−4−3x=3x+16−3x

5x−4=16

Add 4 to both sides.

5x−4+4=16+4

5x=20

Divide both sides by 5.

5x/5 = 20/5

Answer:

Yes it is a ploygon

convex

both

octagon

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

[tex]( - 4)( - 2) = \boxed{8}[/tex]

Answer:

666

Step-by-step explanation:

From this question,

a = 1-99%

a = 1-0.99

a = 0.01

5% = z(0.05) = 2.58 when we check the standard normal table

Therefore we calculate n as:

n = (z/E)²*p*1-p

Z = 2.58

E = 0.05

P = 0.5

1-p = 0.5

(2.58/0.05)²x0.5x0.5

= 51.6²x0.5x0.5

= 665.64

Therefore n is approximately 666.

Answer:

c

Step-by-step explanation:

i really dont know pls help PAHAHA

The baby's weight at the birth of the baby was 7 pounds.

Given is that a linear model of this situation contains the values (1, 7.3) and (9, 9.7), where [x] represents the number of weeks, and [y] represents the baby's weight, in pounds.

Assume the equation of the line in slope - intercept form is -

y = mx + c

Now -

m = (9.7 - 7.3)/(9 - 1)

m = 2.4/8

m = 0.3

The equation will be -

y = 0.3x + c

For the point - (1, 7.3), we can write -

7.3 = 0.3 x 1 + c

c = 7.3 - 0.3

c = 7

Therefore, the baby's weight at the birth of the baby was 7 pounds.

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Answer:

yes yes yes

Step-by-step explanation:

4.24m hope this helped.

Step-by-step explanation:

The diagonal length of the square is 4.243 meters.

square, in geometry, a plane figure with four equal sides and four right (90°) angles.

A square is a special kind of rectangle and a special kind of parallelogram.

The side length of square is 3 meters.

The sides of square are 3 meters because all the sides are same length.

We need to find the diagonal length of the square.

d=√2a

Where d is the diagonal length and a is the length of the square.

d=√2×3

d=1.414×3

d=4.243

Hence, the diagonal length of the square is 4.243 meters.

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Answer:

4 cm is the best answer for this one

Answer:

option 2

Step-by-step explanation:

they have the same shape AND angle meaning they are more so similar than other options

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

Answer:

{xl x > 5)

Hope This Helps!

Answer:

The correct answer is D.

Step-by-step explanation:

Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.

Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.

Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.

Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.

Answer:

6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb

12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

6.9y=12x

y=( 12/6.9)x

Differentiating implicitly the bother sides with respect to t, we have

Dy/dt= ( 12/6.9)dx/dt

But dx/dt= 3.9 ft/sec

Then Dy/dt= ( 12/6.9)× 3.9

Dy/dt=6.78ft/sec

Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec

CHECK THE ATTACHMENT FOR THE FIQURE

Answer:

y = [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

A(2, 9)

B(6, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{6-2}[/tex] = - 2

AB ⊥ AD ⇒ [tex]m_{AD}[/tex] = [tex]\frac{1}{2}[/tex]

A(2, 9)

y - 9 = [tex]\frac{1}{2}[/tex] (x - 2)

y = [tex]\frac{1}{2}[/tex] x + 8

Answer:

Convert the fraction to a decimal, then multiply by 100100.

−70%

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

There is -70% change when value change from 10 to 3.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

The original value is 10,

The value is change to 3

The difference of changed value and original value =  3 - 10 = -7

The percentage of change = (-7/10)x100

                                             = -70%

The change in percent is -70%, negative sign shows that value decreases.

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Answer:

4. y = -1/2x + 5

5. y = -1/3x + 3

6. y = 1

Step-by-step explanation:

For #4:

Because these lines are parallel, we know that they will have the same slope.

To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/

For #5:

These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.

The reciprocal of 3 is -1/3.

To get the y-intercept, I did the same as above.

For #6:

x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.

That means that our answer is y = ?

We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.

So, y = 1.

I hope this helps!

Answer:

Um can you explain the answer better, there isn't much information...

Answer:

(3 , 1)

Step-by-step explanation:

(3 , - 3)

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

Answer:

Its A

Step-by-step explanation: