Select three ratios that are equivalent to 8 : 5

​

The required simplified value of k is 8 for given conditions.

Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,

f( x ) =  x³ + kx + 9  / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8

Thus, the required simplified value of k is 8.

Learn more about simplification here: https://brainly.com/question/12501526

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1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

Answer:

answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

1

2

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:

r

=

1

2

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

Substitute in the values of

a

1

=

200

and

r

=

1

2

.

a

n

=

(

200

)

⋅

(

1

2

)

n

−

1

Simplify the expression.

Tap for more steps...

a

n

=

200

⋅

1

2

n

−

1

Combine

200

and

1

2

n

−

1

.

a

n

=

200

2

n

−

1

The common ratio is 1/2.

Given that

The sequence 200, 100, 50, 25.

The common ratio is determined by dividing the second term by the first term.

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]

Here, the second term is 100 and the first term is 200.

Then,

The common ratio is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]

[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]

The common ratio between third term 50 and second term 100 is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]

Hence, the common ratio is 1/2.

To know more about the Common ratio click the link given below.

https://brainly.com/question/13162487

Answer:

(2x-5)(x+4)

....................

Answer:

x = 3

Measurement of angle b: 70 degrees

Measurement of angle c: 70 degrees

Step-by-step explanation:

120° = (15x + 5) + (22x + 4)         (ext. ∠ of △)

120° = 15x + 22x + 5 + 4

(120 - 9)° = 37x

x = (111/37)

x = 3

Measurement of angle b: 22x = 4 = 22(3) + 4 = 66 + 4 = 70 degrees

Measurement of angle c: 15x + 5 = 15(3) + 5 = 45 + 5 = 50 degrees

Hope this helped!

Answer:

x = 3, ∠ B = 70°, ∠ C = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ADC is an exterior angle of the triangle , then

15x + 5 + 22x + 4 = 120 , that is

37x + 9 = 120 ( subtract 9 from both sides )

37x = 111 ( divide both sides by 37 )

x = 3

Thus

∠ B = 22x + 4 = 22(3) + 4 = 66 + 4 = 70°

∠ C = 15x + 5 = 15(3) + 5 = 45 + 5 = 50°

Answer:

1. She gets $3 per quart she picks.

2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.

Answer:

28/35

Step-by-step explanation:

Soh-Cah-Toa

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

Answer: I don't understand either :{

But I do know that you have to look at the little letters to answer the questions about the triangle. Like when it asks, "What are the possible values for x?" you have to find x then say what the possible values for x are. Hope that helps a little bit

Answer:

x = 12

Step-by-step explanation:

Simplifying

9 + 2x = 33

Solving

9 + 2x = 33

Solving for variable 'x'.

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

Add '-9' to each side of the equation.

9 + -9 + 2x = 33 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 33 + -9

2x = 33 + -9

Combine like terms: 33 + -9 = 24

2x = 24

Divide each side by '2'.

x = 12

Simplifying

x = 12

Answer:

The correct answer is -2

Answer:

-2

Step-by-step explanation:

3x-6x=6+x-7x

=> -3x-x+7x=6

=> -4x+7x=6

=> 3x=6

=> x=6/3

=>x=2

Answer/Step-by-step explanation:

(5 x 10) + ( 5 x -15) or 5 x (10 + -15)

5 x 10 = 50

5 x -15 = -75

50 + -75 = -25

Answer:

-25

Step-by-step explanation:

Answer:

ingles Hablas ingles?

Answer:

18

Step-by-step explanation:

Answer:

18 percent

please can i have brainlieat

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

x = 18

Have a merry Christmas!

Answer:

x=18

Step-by-step explanation:

1/2x-7=1/3(x-12)

First, distribute.

1/2x-7=1/3x-4

Subtract 1/3x from both sides

1/6x-7=-4

Add 7 to both sides

1/6x=3

Multiply by 6 on both sides.

x=18

Hope this helps!

#Team Rainbows

Answer:

15

Step-by-step explanation:

Hey! Pretty stranger :D

AsnwEr:

GivEn:

To find:

Solution:

☯ Let number of girls be x.

Given that,

Therefore,

→ 12/x = 4/5

→ x = 12 × 5/4

→ x = 60/4

→ x = 15

∴ Hence, number of girls in a class is 15.

Answer:

45

Step-by-step explanation:

just had that q and sumbitted my quiziz and got it correct

Answer:

Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20

Answer:

This question is incomplete so I can not answer this

Step-by-step explanation:

Because the question is incomplete

Answer:

There is no graph, add a img

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

D should be right

Step-by-step explanation:

Answer:

$36.80

Step-by-step explanation:

Answer:

Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...

Step-by-step explanation:

Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.

Answer:

a goes with -1/2

b goes with -2

c goes with 2

d goes with -1/2

just multiply the x values of the top equation by the answers and you'll get the x values of the bottom equation :)

Answer:

Step-by-step explanation:

Required function would be:

Answer:

8 hours and 10 minutes im pretty sure

Step-by-step explanation:

can i have heart and brainliest

Answer:

4.5 hours

Step-by-step explanation:

Multiply 1/2 hours by 9 for 4.5 hours total.

Answer:

A

Step-by-step explanation:

Given

p² - 16 = 0 ( add 16 to both sides )

p² = 16 ( take the square root of both sides )

p = ± [tex]\sqrt{16}[/tex] = ± 4

Thus solution is { - 4, 4 } → A