How do you do this question?

How Do You Do This Question?

Answers

Answer 1

Answer:

(-11 + √165) / 22

Step-by-step explanation:

∑₂°° (1 + c)⁻ⁿ

= ∑₂°° (1 / (1 + c))ⁿ

= ∑₁°° (1 / (1 + c))ⁿ⁺¹

This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).

The sum of an infinite geometric series is:

S = a₁ / (1 − r)

Therefore:

11 = 1/(1+c)² / (1 − 1/(1+c))

11 = 1 / ((1+c)² − (1+c))

11 ((1+c)² − (1+c)) = 1

11 (1 + 2c + c² − 1 − c) = 1

11 (c + c²) = 1

11c² + 11c − 1 = 0

c = [ -11 ± √(11² − 4(11)(-1)) ] / 22

c = (-11 ± √165) / 22

c cannot be between -2 and 0, so c = (-11 + √165) / 22.


Related Questions

An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?
A. The median is greater than the mean, and the distribution has only one outlier. The median is greater than the mean, and the distribution has only one outlier.
B. The median is greater than the mean, and the distribution has two outliers. The median is greater than the mean, and the distribution has two outliers.
C. The median is less than the mean, and the distribution has only one outlier. The median is less than the mean, and the distribution has only one outlier.
D. The median is less than the mean, and the distribution has two outliers.

Answers

Full question attached

Answer

Option A: the median is greater than the mean and the distribution has only one outlier

Explanation:

From the data median is definitely greater than mean as we can see from the data of siblings, median which is middle number is somewhere greater than the mean 3.5 from the question. Also from the definition of an oulier and given that the median is just one middle number in data, there is just one outlier in the data


$8000 is compounded semiannually at a rate of 7% for 20 years.

Answers

i calculated 31674.08 may i please get brainliest for my work

If a room has 28 people in it, how many people Are in a room 14 times it’s size?

Answers

Answer:

392

Step-by-step explanation:

times 28 by 14 and youll get 392 - may i get brainliest :)

Answer:

392 people would be in the room

Step-by-step explanation:

you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together  112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392

Hey I have a question for y’all, what helps build preseverance in your opinion ?

Answers

Answer:ummm......

Step-by-step explanation:

what ur questions I don't get it

A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline (<1) of 28. What is the measure of <2?

Answers

Answer:

Step-by-step explanation:

two angles are said to be supplementary if their sum is 180 degrees

Hence <1 + <2 = 180

Given

<1 = 28

Required

<2

Substitute into the formula

28+<2 =180

<2 = 180-28

<2= 152

Hence the measure of <2 is 152 degrees

Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?

Answers

5 tickets I’m pretty sure

Answer:

5 tickets

Step-by-step explanation:

45.50t + 14.99 = 242.49

          -14.99      -14.99

           45.50t = 227.5

                    t  = 5

Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2


Answers

Answer:

-(x(2x squared-8x+3))/(x-1)(x+3)

Step-by-step explanation:

This can't be simplified very far, but the answer is above. Hope it helps!

The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,

WE need to simplify the given;

[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]

3x² + 8x - 3 = (3x - 1)(x + 3)

x² - 9 = (x - 3)(x + 3)

Then;

[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]

Therefore,

[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]

[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]

[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]

[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]

Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ2

What is the slope of the line on the graph
ОА. 5/9
OB. 5/7
OC. 7/5
OD. 9/7

Answers

B I think 5/7 should be

Currently, Trevon is three times as old as Janice. In four years, the sum of their ages will be 48. If Janice's
current age is represented by n, which of the following equations could be used to correctly solve for n?

Answers

Answer:

n+3n+4=48

Step-by-step explanation:

Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?

Answers

32 divided by 4= 8
So 8 trips in total

Daniel will take 8 trips.

What is division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip  = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

To learn more about Division here :

brainly.com/question/28032495

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What is the capital of peru

Answers

Answer:

☆<《HOPE IT WILL HELP YOU 》>☆

Step-by-step explanation:

capital of Peru is Lima

a store sells jump rope. Each jump rope cots the sa

Answers

You haven't finished the question.

You need to finish the question before it can be answered.

Liam earns $7.00 an hour shoveling snow. What is the relationship between the number of hours and the amount he earns?

Answers

okay that's alll guess

lines of best fit (regression lines) must touch all dada points on a scatter plot

true or false ​

Answers

Answer:

False

Step-by-step explanation:

A regression line tries to average out all data points, so it may not touch any of them.

Add.

0.125 + 0.25 + 0.33

Answers

Answer:

0.705

Step-by-step explanation:

Answer: the answer is .705

Step-by-step explanation:

the numbers 0.25 and 0.33 are technically 0.250 and 0.330

so just line them up and add. 0.250+0.125+0.330=0.705

If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child

Answers

Answer:

40.

Step-by-step explanation:

Find the measure of angle b

Answers

Answer:

40 degrees

Step-by-step explanation:

180-140=40

Answer:

40° that's the answer hope I helped

three numbers that have 2, 4, and 8 as factors. What other factors do these numbers have in common?

Answers

8, 16, 24, 32, 7992, and 8008 all have 2, 4, and 8 as factors

HELP!!!!!
answer asap! this is due in two hours!!

Answers

Answer:

it is 56

Step-by-step explanation:

there are 4 sides and they are all 10 and if you add them they are 40 and if you do the bottom it is 16 and 40 + 16 is 56  hope it helps

write an equation for the line Below​

Answers

Answer:

y=-1/2x

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

shown in graph

This graph shows the solution to which inequality?
(3,-1)
(-3,-3)

Answers

Answer:

its c. y>1/3x-2

Step-by-step explanation:

Just took the quiz

If the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?

Answers

Answer:

15

Step-by-step explanation:

6x +2 =5x +17

6x - 5x =17 - 2

x =15

unique solution

Ms. Ramirez is throwing a fundraising event to
raise money for new chromebooks for GWCP.
Ms. Ramirez is charging $35 an an entrance fee
and then additionally guest can buy raffle tickets
for prizes. Ms. Colsant comes to the event,
purchases 4 raffle tickets and spends a total of
$62. How much is Ms. Ramirez charging for raffle
tickets at the event?
Students, write your response!
Pear Deck interest

Answers

if you do $62 minus $35 it’s 27 and 27 divided by 4 is 6.75 so the raffle tickets are $6.75

Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.

Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000

Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.

Answers

Answer:

There is a significant relation between weight and price

Step-by-step explanation:

              Brand Weight(x)          Price ($) (y)

A                  17.8                        2100

B                   16.1                        6,250

C                   14.9                        8,370

D                   15.9                        6,200

E                   17.2                        4,000

F                   13.1                         8,500

G                   16.2                        6,000

H                   17.1                         2,580

I                   17.6                          3,500

J                   14.1                         8,000

Null Hypothesis : [tex]H_0: \mu =0[/tex]

Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]

Given : SST=51956800 SSE= 7312286.84 n = 10

SSR = SST-SSE

SSR=51956800-7312286.84

SSR=44644513.16

Level of significance =[tex]\alpha = 0.05[/tex]

[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]

Where m = no. of restrictions

k = No. of independent variables

[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]

F=48.843

Degree of freedom 1 = 1

Degree of freedom 2 = 10-2=8

Using calculator

p-value is .000114.

p value < α

So, we reject the null hypothesis .

Hence There is a significant relation between weight and price

On average, Starla drinks 5/6
of a 12 ounce glass of water in 1/3
of an hour.
How much water does she drink in an hour?
O 10 ounces
12 ounces
20 ounces
30 ounces

Answers

30 ounces 5th grade math

Divide. -4 1/3 divided by 2 3/5

Answers

The answer is: -1.66666666667 to be exact

Hello Can someone help me please???

What is the factored form of 5x2 – 19x + 12?
A.) (5x – 3)(x – 4)
B.) (5x – 4)(x – 3)
C.) (5x – 12)(x – 1)
D.) (5x – 1)(x – 12)

Answers

B. (5x-4)(x-3)
Explanation: Multiply using distributive property to get 5x^2-19x+12

Answer:

pretty sure its B

Step-by-step explanation:

hope this helps ;)

Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
Olfa student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.

Answers

the answer would be c

Answer:

c

Step-by-step explanation:

John's sister is twice his age. In 5 years the sum of their ages will be 31. How old are John and his sister now? Briefly explain how you arrived at your answer.

Answers

Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.

x = 2y

To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.

x + y = 27

The sum of their ages is 27, and we can substitute the value of x here to figure out y.

2y + y = 27

We can now simplify this, and get y by itself.

3y = 27

Now, we can divide by 3 to get the y by itself.

y = 9

We now know that John’s sister is 9.

Now, using our original equation, we can substitute in the value of y.

x = 2(9)

We can simplify this.

x = 18

John’s age is 18!

Hope this helps.

Michael is renting a bicycle for $12 per hour. How many cents per minute?

Answers

Answer:

0.20

Step-by-step explanation:

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