Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?

What is the recursive rule?

Mr. Blue's First Year Salary Is $30,000 And It Doubles Each Year. What Is The Explicit Rule For The Sequence

Answers

Answer 1

Mr. Blue' salary is an illustration of a geometric sequence

The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000How to determine the explicit formula?

Mr. Blue's salary is a geometric sequence with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1 * r^(n - 1)

This gives

an = 30000 * 2^(n - 1)

How to determine the recursive formula?

The common ratio is calculated as:

r = an+1/an

Substitute 2 for r

2 = an+1/an

Cross multiply

an+1 = 2an

Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

Read more about arithmetic sequence at:

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Related Questions

How many TRIANGLES can be constructed with angles measuring 110°, 50°, and
10°?
In order to prove mastery please explain how you know

Answers

Answer:

You can't cconstruct any triangle

Step-by-step explanation:

110+50+10=170  A triangle always has 180º

The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?

Answers

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.

Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.

[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]

Hence,

Length of garden = x + 9 = 47 + 9 = 56 feetWidth of garden = x = 47 feet

[tex]\\[/tex]

Now,

[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]

Hence,

Area of rectangular garden is 2632 feet²

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given:-

Length of Rectangular garden is 9 feet more than its width perimeterof garden is 206 feet.

To find :-

The area of rectangular garden

Solution:-

Let the length of Rectangular garden be x + 9 feet and width be x feet .

We know that , the formula of Perimeter of rectangle is 2 ( L + B )

putting the known values to find the dimensions ,

2 ( L + B ) = 206 feet

2 ( x + 9 + x ) = 206 feet

4 x + 18 = 206 feet

x = 47 feet

putting the values of x in the equation ,

Length :- 56 feet

width :- 47 feet

Now , area of rectangular garden :- B

Area => 56×47 feet²

Area => 2632 feet²

can you help me for math? Statistic and Probability ! what is P(2) + P(3)?​

Answers

Answer: 1/3

You can find the complete solution in the given attachment

I hope It helped you

What are the zeros of the polynomial p(x) = x3 – 19x - 30?
-
1.
-10, 1, 3
2.
-6, -5, 1
3.
-3, -2,5
4.
-15, 1, 2

Answers

Answer:

x= -2

x= -3

x= 5

Step-by-step explanation:

please help me.. no links pls​

Answers

Answer:

The Answer is 108 units.

It's number 2.

The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?

Answers

Answer:188

Step-by-step explanation:

u have to add all the side which is 46+46+13+13=188

Show the problem on a number line:
4(-2) =

Answers

Answer:

-8

Step-by-step explanation:

This is the same as 4 x -2.

The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.

M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)

Answers

The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)

How to rewrite the expression?

First, we need to find the greatest common factor between 48 and 66.

To find it, we can write both of these as a product of its prime factors, we get:

48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3

66 = 2*33 = 2*3*11

The greatest common factor that we can make is 2*3 = 6

Then we rewrite the numbers as:

48 = 6*8

66 = 6*11

Now we can rewrite our expression:

48 + 66 = 6*(8 + 11)

So the correct option is C

If you want to learn more about common factors, you can read:

https://brainly.com/question/219464

Question 8 (1 point)
Find the perimeter of the triangle.

Answers

Answer:

D

Step-by-step explanation:

its the closest to the answer i got so that must be it

what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?​

Answers

Answer:

13 7/9

Step-by-step explanation:

You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!  

Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. 5 − 3x = -17 B. |5 + 3x| = 17 C. 5 + 3x = -17 D. |5 − 3x| = -17

Answers

Did the math for you.

[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]

what is it u can just say abc

Answers

Answer: dude idek how to do this

Step-by-step explanation:

not lying still dont know

Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out

Answers

Not enough info to answer sorry

Which of the following means less than or to?
A.not less than
B.at most
C.at least
D.mininum

Answers

Answer:

B. At most

Gives a maximum that it can be.

The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?

Answers

Answer:

87

Step-by-step explanation:

Factor 99-45f+36b99−45f+36b99, minus, 45, f, plus, 36, b to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
9(11-5f+4b)9(11−5f+4b)9, left parenthesis, 11, minus, 5, f, plus, 4, b, right parenthesis

(Choice B)
B
3(33-15+12)3(33−15+12)3, left parenthesis, 33, minus, 15, plus, 12, right parenthesis

(Choice C)
C
11(9-4f+3b)11(9−4f+3b)11, left parenthesis, 9, minus, 4, f, plus, 3, b, right parenthesis

(Choice D)
D
3(33-15f+12b)3(33−15f+12b)3, left parenthesis, 33, minus, 15, f, plus, 12, b, right parenthesis

Answers

The answer for your question is B and D

Answer:

its A and D dont listen to the other person lol

W

i really need help with multiple of these questions if u get them right please help with more (multiple questions )

Answers

Answer:

D. 19.25^2

Step-by-step explanation:

A = 5.5

H = 3.5

A = 19.25^2

Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D

Answers

Yes, I guess so.

Hope this helps!

Answer:

yea actually what if she turned?- but yea its 0 so D

Step-by-step explanation:

Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5

Answers

Step-by-step explanation:

Condition 1

x > 5, both terms are positive

y = x - 5 + x + 5 = 2xCondition 2

x < - 5, both terms are negative

y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3

This is not clear

If x>5

Terms are positive

Hence..

y=x-5+x+5=2x

If x<-5 terms are negative

y=-x+5-x-5=-2x

If x=-5

y=|-5-5|+|-5+5|y=|-10|y=10

PLEASE HELP!!!!! I"LL MARK AS BRAINLIEST!!!Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.
A. 5x + 2x + 5.25 = 11.10; $82.95
B. 5x − 2x + 5.25 = 82.95; $11.10
C. 5x − 2x + 5.25 = 82.95; $1.11
D. 5x + 2x + 5.25 = 82.95; $11.10

Answers

C. 5x-2z+5.25=82.95;$1.11

Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da

Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
Continue
Submit Assignmer
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Answers

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

-2x + 6y + 3z = -31-3y + 7z = 592z = 10

System of Equation

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

[tex]2z = 10\\z = 5[/tex]

let us substitute the value of z into equation (ii)

[tex]-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8[/tex]

Let's substitute the value of x and y into equation (i)

[tex]-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1[/tex]

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

https://brainly.com/question/14323743

Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5).

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill[/tex]

The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.

What is Parabola?

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

The general form of a parabola is,

y = a (x - h)² + k

where (h, k) is the vertex.

Given vertex is (2, -11).

Equation is,

y = a(x - 2)² - 11

Also, given that the parabola passes through the point (0, 5).

Substituting,

5 = a (0 - 2)² - 11

⇒ 5 = 4a - 11

⇒ a = 4

So the required equation is, y = 4 (x - 2)² - 11.

Hence the equation of the given parabola is y = 4 (x - 2)² - 11.

Learn more about Parabola here :

https://brainly.com/question/30373667

#SPJ3

An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

How many pints are in​6 1/2​quarts?

314​pt

13 pt

1912​pt

26 pt

Answers

Answer:

13 pints

Step-by-step explanation:

6 1/2 (6.50) quarts is equal to 13 pints

Answer:

13pt

to go from quarts to pints multiply the value by 2

{2x+3y=−7, 7x+9y=−14
Answer as an ordered pair (x,y).

Answers

Answer:

Step-by-step explanation:

2x + 3y = -7

7x + 9y = -14

-3(2x+3y= -7) = -6x - 9y = 21

-6x - 9y = 21

7x + 9y = -14

add columns (y values cancel)

1x + 0y = 7

x = 7

plug 7 into the x value in either equation to find y

2(7) + 3y = -7

14 + 3y = -7

3y = -21

y = -7

(x,y) = (7,-7)

What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?



Enter your answer in the box. Express your answer using π.

I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.

Answers

Answer:

[tex]V=763.407[/tex] yd^3

Step-by-step explanation:

Formula for volume of right circular cylinder.

[tex]V=\pi r^{2}*6[/tex]

[tex]r=\frac{d}{2}[/tex]

We are given the diameter (d) and the height (h).

First solve for r.

[tex]r=\frac{18}{2}[/tex]

[tex]r=9[/tex]

Now we have everything we need to find the volume. Plug in r into the volume formula.

[tex]V=\pi *9^{2} *3[/tex]

[tex]V=763.407[/tex] yd^3

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

80 take away the ten from 90 and boom it’s also a acute angle

Answer:

Right angle

Step-by-step explanation:

It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.

For which values of k would the product of k/3 X 12 be greater than 12

Answers

Answer:

[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]

Step-by-step explanation:

The product of k/3 and 12 be greater than 12.

⇒ k/3 × 12 > 12

The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.

⇒ (12 × k)/3 > 12

⇒ (12 ÷ 3) × k > 12

⇒ (4) × k > 12

The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.

⇒ [4 × k]/4 > 12/4

⇒ k > 12/4

⇒ k > 3

To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.

can someone help me with this and i have more of these i need help on

Answers

Answer:

Square

Step-by-step explanation:

Hope this helps!

Answers:

Choice A) SquareChoice B) PentagonChoice D) TrapezoidChoice E) HexagonChoice F) RectangleChoice G) Triangle

In other words, it's nearly everything except choice C (octagon).

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

Explanation:

Search out "Cross sections of a cube" and you'll see visual examples of what is possible.

Here are the list of possible cross sections

SquarePentagonTrapezoidHexagonRectangleTriangle

A parallelogram is also possible, but that isn't one of the listed choices so we can ignore it. The triangle can either be equilateral or won't be, depending how the cross section plane is oriented.

Nearly every box is checked except for the octagon, because we simply don't have enough faces to get 8 sides needed for the cross section.

Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%

Answers

Answer:

what is the question?

do you have to find how much she is investing?

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