8. John is in a club that collects annual dues. In the first year that he was a member, he paid $20 in club dues. However, the club dues increase by $2 each year. Identify the function that describes the relationship between the number of years that John has been a member of the club and the dues he pays that year.

options:
A. f(n) = 20 + 2(n – 2)
B. f(n) = 20 + 2(n + 1)
C. f(n) = 20 + 2(n – 1)
D. f(n) = 20 + 2n

Answers

Answer 1

Answer:  C) f(n) = 20 + 2(n - 1)

Step-by-step explanation:

The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex]     where

[tex]a_1[/tex] is the first termd is the difference between consecutive terms

Given: In the first year he paid $20  --> [tex]a_1[/tex] = 20

          Dues increase $2 each year --> d = 2

[tex]a_n[/tex] = 20 + 2(n - 1)

Answer 2

Answer:

C  f(n) = 20 + 2(n – 1)

Step-by-step explanation:

got it right on test


Related Questions

the difference of -9 and -6?

Answers

Answer:

15

Step-by-step explanation:

-9+9=0+6

9+6=15

That is the answer i think so

The answer is 15. Because 9+6=15

Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))

Answers

Answer:

A. 1

B. 2

C. 2

D. 0

Hope it helps :-)

The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Answer: (-2,-7)

Step-by-step explanation:

The coordinates of  B is  (-2, -7).

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]

Given:

Let the coordinates of  B be (x, y).

We have to find the coordinates of  B.

According to given question we have,

Then, (x + 2) / 2 = x-coordinate of M = 0.

So, x = -2.

(y + 1) / 2 = y-coordinate of M = -3.  

So, y = -7.

Therefore,  the coordinates of  B is  (-2, -7).

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Find the value of B

Answers

34, all angles in a triangle when added together must equal 180.

Answer:

34

Step-by-step explanation:

b+115°+31°= 180° (sumof all angles of triangle)

b=146°-180°

b=34°

hope it helps you!

steffie matt

What is 1+6 idk know what is it I need help

Answers

7. Use a calculator if you’re unsure!

You started this year with $440 saved and you continue to save $11 per month.
Write an equation to model this situation (use m for months and s for savings).

Answers

11m + 440 = s
($11/ month plus your already saved $440 equals total savings)

Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g

Answers

Answer:

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Step-by-step explanation:

The question can be better structured and represented as :

[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]

now the derivative of the function of g(x) is g'(x) which is equal to:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls

Answers

Answer:

11000

Step-by-step explanation:

Answer:

11000

Step-by-step explanation:

proportional relationships

Answers

Answer:

relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Step-by-step explanation:

The decimal .28654 rounded to the nearest thousandth is ____.

Answers

Answer:

8000,I think this is right answer

Answer:

.287

Step-by-step explanation:

5 rounds up which makes the 6 a 7.

y+z+ 2; use y=-6, and z = 5

Answers

Answer:

1

Step-by-step explanation:

y + z + 2

first you have to replace the variables with the numbers

This is your equation now.

-6 + 5 + 2

Now you just have to solve it.

-6 + 5 = -1 + 2 = 1

or

7 - 6 = 1

data was collected ​

Answers

ok? what data?? i need context

15 multiplied by what makes 80

Answers

Answer:

5.33

Step-by-step explanation:

It is a repetitive decimal.

how do we use inverse functions in everyday life

Answers

we basically use inverse functions in our daily lives all the time

to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment

functions are also used in computing

The dot plot shows the number of touchdowns a football team scored in 10 games

Answers

Answer:

Step-by-step explanation:

5

hat is the quotient of 78.3 ÷ 3.48?

Answers

Answer:

a answer to a division problem

Step-by-step explanation:because thats have it is U-U

Answer:

The quotient is 22.5

Step-by-step explanation:

78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer

Hope this helps

Is this correct? Please let me know

Answers

Answer:

Step-by-step explanation:

i think yes

Yes the answer is correct

a/b=c for b helpp!! please

Answers

A / b = c

Multiply both sides by b

A = bc

Divide both sides by c

A / c = b

Please help me with these two questions.

Answers

Answer:

gooooooooood

Step-by-step explanation:

I kie that

A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formula to determine the perimeter of the ballroom

Answers

Answer:

2l+2w, 60+60+30+30

Step-by-step explanation:

2(length)+2(width)

The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).

What is a perimeter?

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.

Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-

Perimeter = 2 ( l +  w)

Perimeter = 2 ( 60 + 30 )

To know more about perimeter follow

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The planet Mars has a radius of 3400 km. What is the volume of Mars?

Write your answer in scientific notation to three decimal places.

Answers

Answer:

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Radius (r) = 3400 km

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Radius (r) = 3400 km

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³

Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.

Answers

Answer:

  122 = 2(2w +w)

Step-by-step explanation:

If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.

  P = 2(L+W)

  122 = 2(2w +w) . . . . an equation for the description

which value is a solution to the inequality 2x-5<-12?

Answers

Answer:

x < -4

Step-by-step explanation:

2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!

Answer: x<7/2

Step-by-step explanation:

Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.

Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.

Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.

Hope this helps!

how many solutions does the following equation have 8u+3(1/3u-6)=9u+2u+12

Answers

how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]

Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.

If you haven't learned this yet let me know and I will post the manual work.

:)

Answer:

  1 solution

Step-by-step explanation:

When put in general form, the coefficient of u is non-zero, so there is 1 solution.

  0 = 9u +2u +12 -(8u +3(1/3u -6))

  0 = 11u +12 -8u -3(1/3u -6)

  0 = 3u +12 -u +18

  0 = 2u +30 . . . general form equation

  0 = u +15

  -15 = u . . . . . one solution

Is 8.168 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

Find the difference. (3 • 1,000) – (2 • 100) 100 1,000 1,900 2,800

Answers

Answer:

[tex]2,800[/tex]

Step-by-step explanation:

[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]

[tex]3,000-\left(2\cdot \:100\right)[/tex]

[tex]3,000-200[/tex]

[tex]2,800[/tex]

the square root of a number, less than nine (write into a verbal expression)

Answers

Answer: 9 - [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Let say the number is x.

So the square root of x will  be [tex]\sqrt{x}[/tex]  and is less than 9  so we will subtract that from 9.

[tex]9-\sqrt{x}[/tex]

The governor of state A earns ​$54,675 more than the governor of state B. If the total of their salaries is ​$284,695​, find the salaries of each.
The governor of state A earns ​$nothing​, and the governor of state B earns ​$nothing.

Answers

Answer:

Government A earns 54 675 US$, Government B earns 230 020 US$

Step-by-step explanation:

solve for W in the scientific formula c= wtc/1,000

Answers

Answer:

1000/t=w

Step-by-step explanation:

The first thing we need to do is, multiply 1000 to both sides,

c(1000)=wtc

now we need to divide both sides by tc

c(1000))/(tc)=w

The c's on the left side will cancel out

1000/t=w

Step-by-step explanation:

hdhdhdhdhddjdifififiifr

Which expression is equivalent to 9+9x+9y?

Answers

Answer:

9(1 + x + y)

Step-by-step explanation:

[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]

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