Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to find the sum of the first 22 terms

Question: Antonio Is Working With A New Geometric Series Generated By The Equation A(n)=20(1.1)^n-1.His

Answers

Answer 1

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

Answer 2

His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.

What is a series?

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

Antonio is working with a new geometric series generated by the equation that is

[tex]A_{n}=20(1.1)^n-1.[/tex]

His sister challenged him to find the sum of the first 22 terms will be given as

[tex]Sn = \dfrac{a(r^n - 1) }{ (r - 1)}[/tex]

We have

a = 20

r = 1.1

n = 22

Then

[tex]\rm S_n = \dfrac{20(1.1^{22} - 1) }{ (1.1 - 1)}\\\\\\S_n = \dfrac{20(8.14 - 1) }{ 0.1}\\\\\\S_n = \dfrac{20*7.14 }{0.1}\\\\\\S_n = 1428.05[/tex]

His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.

More about the series link is given below.

https://brainly.com/question/10813422


Related Questions

Which statement is true?
A. probability of −2 indicates an event will definitely happen.
B.A probability of 12 indicates an event is neither likely nor unlikely to happen.
C.A probability of 910 indicates an event is unlikely to happen.
D.A probability of 1 indicates an event will definitely not happen.

Answers

Answer:

do not think any are true

Step-by-step explanation:

a probability of zero means it can never happen

a probability of one means it will always happen

Answer:

B.

Step-by-step explanation:

I assume the middle two choices have fractions 1/2 and 9/10.

In probability, 1 means it will definitely happen. 0 means it will definitely not happen.

1/2 means it is as likely to happen as it is to not happen.

Answer: B.

HELP! which parallelogram has the greater area?

Answers

right one because the first one has an area of 14 (2x7) and the second one has an area of 18 (2x9)

Population (thousands) Land Area (square miles) Total Income (billions of dollars)
159.2 1,536.7 4.8

Determine the per capita income for this county. Round to the nearest cent.

Answers

The per capita income is the ratio of the total income to the population

The per capita income of the county is $30150.75

How to determine the per capita income

The given parameters are:

Population = 159.2 thousand

Land area = 1,536.7 square miles

Total income = $4.8 billion

The per capita income is then calculated as:

Per capita income (p) = total income /population

So, we have:

[tex]p = \frac{\$4.8\ billion}{159.2\ thousand}[/tex]

Evaluate the quotient

[tex]p = \$30150.75[/tex]

Hence, the per capita income of the county is $30150.75

Read more about per capita income at:

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Which of the following is equal to the rational expression when x = -2 or -1?
A. x-2/x+1
B. x+2/x+1
C. x^2-4/x+1

Answers

It might be B. this is not right or wrong. So don’t get mad at me if it’s wrong. that’s what I think

(K12) Interim Checkpoint: Grade 8 Checkpoint 4 - Part 1 answers:


1: Rectangle / 10

2: Triangle

3: 91. 125

4: Not valid / There is bias because of the location

5: Gold

6: Rectangle

7: 132. 54

8: 1,205. 62

9: 13. 4

10: 145. 5

11: 50 randomly selected users of the center's facilities

12: More teens play soccer than any other sport

13: Greater than / A

14: A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2

15: About the same / Do not tend to

16: Not correct / 21%

17: 208

18: On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds / The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend

19: Can't / Similar

20: 2 resorts are about the same

Answers

simillar

Step-by-step explanation:

the similar is example for the math condition an help to provide the people and that beatifull answer and brainly part

What is the measure of angle y?

Answers

Answer:

The measure of angle y is 43

Step-by-step explanation:

Q1: The temperature outside dropped 13°F in 7 hours.
The final temperature was -2°F. What was the starting temperature?

Answers

Answer:

11

Step-by-step explanation:

To get the answer, we need to add 13 to -2.

First, we need to add 2 to -2 to get it to 0.

Now we add 11 to zero to get 11.

Which of the following lengths can be expressed in two ways: square root of 5, square root of 10, square root of 18

Answers

Answer:

I thank it would be 10 and 5

Step-by-step explanation:

I hope this helps

In circle c, r = 32 units. what is the area of circle c? 32pi units squared 64pi units squared 256pi units squared 1024pi units squared

Answers

Answer:

1024pi units squared

Step-by-step explanation:

Area of a circle:

A = pi•r^2

= pi•(32)^2

= pi•1024

=1024pi units sq

radius is given.

32^2 is 1024.

A = pi•r^2

Answer:

D

Step-by-step explanation:

1024

just did test and got 100

A person places $84800 in an investment account earning an annual rate of 4. 1%,

compounded continuously. Using the formula V = Pert, where Vis the value of

the account in t years, P is the principal initially invested, e is the base of a natural

logarithm, and r is the rate of interest, determine the amount of money, to the

nearest cent, in the account after 4 years.

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$84800\\ r=rate\to 4.1\%\to \frac{4.1}{100}\dotfill &0.041\\ t=years\dotfill &4 \end{cases} \\\\\\ A=84800e^{0.041\cdot 4}\implies A=84800e^{0.01025}\implies A\approx 85673.67[/tex]

The amount that will be in the account after 4 years is $99912.57

Exponential functions

The standard expoenential functions is expressed as:

V . = Pe^rt

Given the following

P = $84800

r = 4.1% = 0.041

t =4years

Substititute

V = 84800e^4(0.041)

V = 84800e^0.164

V = $99912.57

Hence the amount that will be in the account after 4 years is $99912.57

Learn more on expoenential function here https://brainly.com/question/12940982

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Graph circles A and B in the coordinate plane. circle A with center at (0,0) and radius of 6,circle B with center at (-4,-2) and radius of 4.

Answers

A circle can be represented as an equation or on a graph

The equations of the circles are [tex]x^2 + y^2 = 36[/tex] and [tex](x + 4)^2 + (y + 2)^2 = 16[/tex]

How to graph the circles

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 =r^2[/tex]

Where:

Center = (a,b)

Radius = r

For circle A, we have the equation to be:

[tex](x - 0)^2 + (y - 0)^2 =6^2[/tex]

[tex]x^2 + y^2 = 36[/tex]

For circle B, we have the equation to be:

[tex](x + 4)^2 + (y + 2)^2 =4^2[/tex]

[tex](x + 4)^2 + (y + 2)^2 = 16[/tex]

Hence, the equations of the circles are [tex]x^2 + y^2 = 36[/tex] and [tex](x + 4)^2 + (y + 2)^2 = 16[/tex]

See attachment for the graphs

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

A. (green)
x2 + y2 = 36

B. (orange)
(x + 4)2 + (y + 2)2 = 16




Step-by-step explanation:

Have an AWESOME day
Love yaa
-NaomiTheGenius

please answer the problem in the picture below will mark first correct answer brainliest

Answers

Answer:

6x+2y=8

Step-by-step explanation:

We can multiply both sides of the equation by 3 to get 6x+2y=8.

(Note there is more than one possible answer, you could've multiplied both sides by any number.)

Answer now will give brainless

Answers

Yea A for sure
Step by step explanation:

A cylinder has a radius of 14 yards. Its volume is 9847. 04 cubic yards. What is the height of the cylinder

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=9847.04\\ r=14 \end{cases}\implies \begin{array}{llll} 9847.04=\pi (14)^2 h\implies \cfrac{9847.04}{\pi (14)^2}=h \\\\\\ 15.99\approx h \end{array}[/tex]

solve: x+y=3 2x+3y=7


I need this answer fast

Answers

2x➕2y=6
2x➕2y ➖(2x➕3y)=6➖7
-y=-1
y=1
x=3➖1=2

Answer:

If you were to make these two equations in slope intercept form, here's what it would be like;

First the formula for slope intercept form is, y = mx + b

where m represents the slope and b is the y intercept(where the line meets the y axis)

First equation;

x + y = 3

we need to isolate y so we subtract x from both sides

-x       -x

y = -x + 3 (we put the -x before the 3 because that's how the formula is formatted)

Second equation;

2x + 3y = 7

Isolate y by subtracting 2x away from both sides

-2x       -2x

3y = -2x + 7, y is not fully isolated because it has a coefficient and it's supposed to be just y, so we divide both sides by 3:

/3       /3

y = -2/3x + 2 1/3

5
1.
10. Simon and Micah both made notes for their test on right triangles.
They noticed that their notes were different. Who is correct? Explain.
Simon
Micah
4545-90
45°-45-90°
30-60-90
30
30-60-90
30°
o
45
45
XV
2x
XV3
X
V2
the Pythago....
#
45
60°
45
60"
x
+
V2

Answers

The sum of angles in a right angled triangle is 180°, where as Pythagoras theorem can be used to determine the sides of a right angled triangle.

What is a right angled triangle?

A right angled triangle is a triangle with one angle that measures 90 degrees. The sum of angles in a triangle is 180 degrees.

Pythagoras theorem states that:

hypotenuse² = adjacent² + opposite²

The sum of angles in a right angled triangle is 180°, where as Pythagoras theorem can be used to determine the sides of a right angled triangle.

Find out more on triangle at: https://brainly.com/question/17335144

A farmer sells 8.9 kilograms of pears and apples at the farmer's market.
3
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

2.225 kg

Step-by-step explanation:

We know that the total weight the farmer sold was 8.9 kilograms.

- 3/4 of this weight is apples, and the rest is pears.

Therefore, to calculate the amount of kilograms of pears   she sold at the farmer's market (which you can call x), you need to apply the following procedure.

A lender will verify and carefully consider your income before approving you for a loan because _____. A. They need to be sure you will be able to pay the loan back b. Government restrictions require a minimum salary to be approved for a loan c. Loan applicants with higher salaries are generally more trustworthy than other applicants d. They need to be sure you make at least the minimum payment for the loan you applied for Please select the best answer from the choices provided A B C D.

Answers

They need to be sure you will be able to pay the loan back. Then the correct option is A.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

A. They need to be sure you will be able to pay the loan back. This is correct.

B. Government restrictions require a minimum salary to be approved for a loan. This is incorrect.

C. Loan applicants with higher salaries are generally more trustworthy than other applicants. This is incorrect.

D. They need to be sure you make at least the minimum payment for the loan you applied for. This is incorrect.

A lender will verify and carefully consider your income before approving you for a loan because they need to be sure you will be able to pay the loan back.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Solve for g g/2 + 10 = 14

Answers

G = 8 , substitute 8 For G

The kinetic energy of an object is given by:
Kinetic energy = 1/2 * mass * velocity²
If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0. All of the kinetic energy is converted to potential energy, and the pendulum starts moving in the opposite direction after this point in time.

Answers

Answer:

TYSM!! I wanted to know how to calculate the kinetic energy of an object for so long!

A pendulum at the top of its swing, when it stops moving does not have any speed and therefore it has no kinetic energy.

What is kinetic energy?

Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force.

Given that, Kinetic energy = 1/2 × mass × velocity²

If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0.

Here, mass m = 0, This shows that the pendulum has no mass and

velocity (v) = 0 meaning the velocity is zero, it is stopped at once.

The velocity that is moving one way or direction can be said to be in a positive direction or positive velocity.

It does slows down when it reaches the top of its swing then move again back to the opposite direction making it to move in the opposite or negative direction with negative velocity. This make a positive velocity and a negative velocity which has pass through to be zero.

Therefore, a pendulum at the top of its swing, when it stops moving does not have any speed and therefore it has no kinetic energy.

Learn more about the kinetic energy here:

https://brainly.com/question/26472013.

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During lunch, Julio drinks 2 3/4 cups of milk. Alan drinks 3/8 cups of milk. Fernando drinks 1 1/6 cups of milk. How much milk do the 3 gentleman drink

Answers


The 3 gentleman drink 4.29166667 cups of milk

$15 Sale: 20% off What is the new cost of the shirt?

Answers

Answer:

$12

Step-by-step explanation:

20 percent of 15 is 3, so if there were to be 20 percent off, the answer would be 12.

Answer:

$12

Step-by-step explanation:

Given:

$15 sale

Sale: 20% off

New cost of the shirt

Solve:

$15 × 20% = 3 {Discount price/off}

$15 - 3 = $12 {New Cost of the shirt}

Hence, the new cost of the shirt is $12.

~Lenvy~

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

least to greatest

7607

49470

591429

864464

Step-by-step explanation:

9.
SHORT RESPONSE Compare the surface area
of the figures. Justify your answer.
5 cm
6 cm
6 cm
20 cm
3 cm
3 cm

Answers

Answer:

7.16666666667

Step-by-step explanation:

5+6+6+20+3+3=43

43/6 because their are 6 numbers

43/6=7.16666666667

and 7.16666666667 simplified is 7.16

PART 2 OF ME ASKING FOR HELP

Answers

Answer:

C

Step-by-step explanation:

Since the angles are congruent, that means that they are equal to each other.

this would mean that the binomial, 5x+2, is equal to 32.

5x + 2 = 32.

Now just solve for x.

5x = 30

x = 6.

The volume of this right prism is 240.5 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.

Answers

Answer:

7.4 is the correct answer

Step-by-step explanation:

Height 'x' of the given right prism is 7.4 feet.

Volume of right prism:

What information do we have?

Height of base = 5 ft

Length of first parallel line = 5 ft

Length of Second parallel line = 8 ft

Volume of prism = 240.5 ft³

Volume of prism = Area of base × height

Volume of prism = (1/2)(sum of parallel line)(Height) × height

240.5 = (1/2)(5+8)(5) × height

240.5 = (1/2)(13)(5) × height

240.5 = 32.5 × height

Height of prism = 7.4 feet

Find out more information about 'Prism'.

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hello people ~
Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm, respectively.​

Answers

Answer:12,000cm^2

Step-by-step explanation:

The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend? If you get stuck, try writing two equations that each represent the number of juniors and seniors at the event.

Answers

Answer:

Hey my encanto pe.eps! FR.EE POI.NTS FOR THOSE WHO CRI.ED DURING ENCANTO!!!!

(for scho.ol) What is the best primary paint for a 20'' bed.room?

Answer:

160 seniors and 40 juniors

Step-by-step explanation:

HELPPP PLSSS HURRYY (100 points)

Answers

Answer:

it should be the 2 second one

Step-by-step explanation:

Answer:

B. Line segment CD is congruent to Line segment XY

Step-by-step explanation:

Help Solve the equation

Answers

Answer:

32

Step-by-step explanation:

32 x 8=4 and 4+12=16

Answer:

x = 32

Step-by-step explanation:

x/8 + 12 = 16

x/8 = 4

x = 32

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