Application of Geometric Series

Application Of Geometric Series

Answers

Answer 1

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  [tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]

Then the value of the entire given expression is ...

  [tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]

_____

A calculator can help you find the value.

Application Of Geometric Series

Related Questions

A basket contains 40 mangoes out of which 8 are rotten. Find the percentage of the mangoes that are in good condition

Answers

So if 8 are rotten then that means 32 are good.
So 32/40 are good
32/40 as a percentage is 80%

There are 80% of mangoes which are good condition.

What is percentage?

Percentage is a relative value indicating hundredth parts of any quantity.

Given that, A basket contains 40 mangoes out of which 8 are rotten.

Mangoes in total = 40

Number of mangoes which are rotten = 8

Mangoes which are good condition = 40-8 = 32

Percentage of good mangoes = 32/40x100 = 80%

Hence, 80% of mangoes are not rotten.

For more references on percentage, click;

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Spencer deposited $10 in an account earning 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?

Answers

Answer:

I (interest) = $1.58

Step-by-step explanation:

A = $11.58

A = P + I where

P (principal) = $10.00

I (interest) = $1.58

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

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

A = 10.00(1 + 0.05/1)^(1)(3)

A = 10.00(1 + 0.05)^(3)

A = $11.58

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10.00 at a rate of 5% per year compounded 1 times per year over 3 years is $11.58

18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5

Answers

Answer:

A. 5/10

Step-by-step explanation:

Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50

in how many years will 600$ double itself at 10% simple interest?​

Answers

Answer:

10years

Step-by-step explanation:

100%+100%=double

100/10=10 years to reach 100% so after ten years you will have 200%/double

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \\ \large \purple{ \sf{Given→}} \\ [/tex]

P (Principal) → 600$R (the annual rate) → 10% ,0.1

nd

Time → years let be x

[tex] \sf{A = 2P} \\ \sf{A = 2 \times 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}[/tex]

[tex]\blue{\rule{70mm}{2.2pt}}[/tex]

[tex] \\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r \times t)}[/tex]

[tex]\blue{\rule{70mm}{2.2pt}}[/tex]

Substituting values

[tex]\rm{1200 = 600(1 + 0.1 \times x)} \\ \\ \rm{600(1 + 0.1 \times x) = 1200} \\ \\ \rm{1 + 0.1 \times x = \frac{1200}{600} } \\ \\ \rm{ 1 + 0.1 \times x = \cancel \frac{1200}{600} } \\ \\ \rm{1 + 0.1 \times x = 2} \\ \\ \rm{0.1 \times x = 2 - 1} \\ \\ \rm{x = 1 \times \frac{10}{1} } \\ \\ \rm{x =10 } [/tex]

[tex]\underline{\underline{\rule{70mm}{2.2pt}}}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

What is the surface area of this rectangular prism?
SA =
ft2

Answers

Answer:1,504

Step-by-step explanation:

20x16=320

20x12=240

16x12=192

16x20=320

12x16=192

12x20=240

add them all the answer will be 1,504

Find 13x2/5
Please answer this in 5 min

Answers

Answer:

5.2 I hope this helps. Im not the best at math...

Answer:

the answer should be like 5.2 or something close to that.

Step-by-step explanation:

i tried doing the math no promises that its right..

7<2x+3<=13 write solution in interval notation

Answers

Answer:

2<x<_5

Step-by-step explanation:

please help! (math)

Which expression is equivalent to the one below?
-1/2(10+1/4)

Answers

Answer:

B

Step-by-step explanation:

-½(10+¼)

-½*10 + -½*¼

-5 + -⅛

-5-⅛

Don't forget a positive and negative makes a negative

A shop charges `\$1.95` for a small `3`-ounce soft serve. 



What is the cost per ounce of soft serve?

Answers

0.65 because you divide 1.95 by 3!

Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.

Answers

Don’t even know to be honest

Which of the following data sets are NOT likely to be normally distributed?

The day of the month on which randomly selected students were born
The day of the month on which randomly selected students were born

The final exam scores of all students taking the same class and given the same final exam in a large school district
The final exam scores of all students taking the same class and given the same final exam in a large school district

The number of wheels on the next 100 vehicles that pass by a point along a highway
The number of wheels on the next 100 vehicles that pass by a point along a highway

The heights of tenth-grade male students at a large high school
The heights of tenth-grade male students at a large high school

The IQs of the students at a large high school

Answers

Answer:

Which group's distribution of race times would most likely have the largest standard deviation? The group competing in the open competitions is most likely to have a higher standard deviation than the group competing in the qualified competitions .

Step-by-step explanation:

can someone help with this?

Answers

Answer:

4) r = 10 yd

   d = 20 yd

5) r = 7 in

   d = 14 in

6) r = 15 ft

   d = 30 ft

7) r = 23 in

   d = 46 in

8) r = 16 yd

   d = 8 yd

9) r = 21 ft

   d = 42 ft

Step-by-step explanation:

Diameter = 2 x radius

*diameter (d)*

*radius (r)*

Help picture below problem 18 will give brainlest

Answers

Answer:

c²=a²+b².

Step-by-step explanation:

28²=17²+b² 766=289+b². -b²=289-766. b²=√475

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

Answers

Answer:

UW = 97 cm

Step-by-step explanation:

UW is congruent to VX and VX is 97 cm so UW would be 97 cm

Answer:

97

Step-by-step explanation:

As you can see, the marks on that trapezoid show that those 2 sides are equal in length, so both of those sides are equal.

Hope This Helps! :) Please Mark as Brainliest!

Find the measure of ∠b.



A. 110∘
B. 102∘
C. 111∘
D. 121∘

Answers

Answer:

110 :)

Step-by-step explanation:

Triangle total angle measurement: 180

Now lets solve!

28 + 42 + ? = 180

70 + ? = 180

Now we have to subtract!!

180 - 70 = 110

Have an amazing day!!

Please rate and mark brainliest!!

Sum of all angles of triangle =180


28 + 42 + ∠b = 180
70 + ∠b = 180
∠b = 180 - 70
∠b = 110

Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)

Answers

A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.

What is a random number table?

This is table that contains random numbers and it is used to select random samples.

How to use it in this case?Assign a number to each participant from 1 to 50.Grab the random number table and without looking point at a number in the table.If the last two digits of the number are between 01 and 50, assign the participant to the first group. If not select another number.Assign 25 participants to the first group using this metho and then automatically assign the remaining 25 participants to the second group.

Learn more about numbers in: https://brainly.com/question/17429689

How many congruent faces does the square pyramid below have?
A.
5
B.
6
C.
4
D.
2

Answers

Answer:

C. 4

Step-by-step explanation:

Each side of the Square pyramid is congruent

Answer: c which is 4 sides

Step-by-step explanation: the square pyramid has 4 sides which are having equal sides so they are congruent . Hope it helps . Please give brainliest .

How would you write 8^5 as a multiplication expression?
OA 8x5
ОВ.8x8x8x8x8
OC. 5x5x5x5x5x5x5x5

Answers

Answer:

The answer is B

Step-by-step explanation:

Because the exponent shows how many times you multiply that number

Example: 8^2 would be 8x8 because it is to the second power

Hopefully this helps

Answer:

Step-by-step explanation:

8•8•8•8•8 is the correct answer

Age of car = 4 years. Original cost = $13,850. The current market value is $

Answers

Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.

Hence, the value of the car in 4 years is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(4) = 13850(0.9)^4[/tex]

A(4) =  9087.

More can be learned about exponential functions at https://brainly.com/question/25537936

A triangle with exactly two sides of the same length is called

Answers

Answer:

isosceles

Step-by-step explanation:

isosceles

Check
Find the area of the given triangle.
feet
The base (6) of the triangle is
feet
1
1
The height (h) of the triangle is
25 feet
1
1
The area of the triangle is
square feet
115 feet
10 feet
Dono

Answers

Base = 10
Height = 15
A= 1/2bh
10x15 is 150.
150x1/2 is 75, so the area is 75.

Solve 5+ 4.7 (21 + 3x) = 41

Answers

x= -4.44680851 i think this is correct

If the figure is a net of a square pyramid, drag it to the “Nets of Square Pyramids” column.

If the figure is not a net of a square pyramid, drag it to the “Not Nets of Square Pyramids” column.

Answers

Answer:

Step-by-step explanation:

1st is a net of a square pyramid.
2nd is a net of a square pyramid.

3rd is not a net of a square pyramid.

4th is not a net of a square pyramid.

5th is a net of a square pyramid.

6th is not a net of a square pyramid.

Answer:

  see attached

Step-by-step explanation:

A net of a square pyramid will have four triangle shapes representing the lateral faces, and one square shape representing the base. The vertices of the triangles that are opposite the base edge will meet at a single point.

__

Figures 3 and 4 must be rejected because they have 3 and 5 triangles, respecively.

Figure 6 must be rejected because the figure cannot be folded to form a square pyramid. (The two left-side triangles will overlap.)

A tank in the shape of a hemisphere has a radius of 5 feet. If the liquid that fills the tank has a density of 51.6 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

Tthe total weight of the liquid in the tank, to the nearest full pound is 13,514 pounds.

What is the total weight of the liquid in the tank?

The first step is to determine the volume of the tank.

Volume of a hemisphere = Volume of a hemisphere = (2/3) x (π) x (r³)

π = 22/7r = radius

2/3 x 5³ x 22/7 = 261.91 ft³

Weight = 261.91 ft³ x 51.6 = 13,514 punds

To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364

What was her speed?

0.1 mile per minute
0.5 mile per minute
5 miles per minute
10 miles per minute

Answers

whose speed are you trying to find ? information is missing

Answer:

0.1 mile per minute

( option A )

HELP PLS
WORTH 1 POINT
GIVING 10
WHAT DID I DO WRONG?

Answers

supplementary angles form a straight line (together 180°) and the ones that you indicated didn't.

No spammers pls and also giving brainliest to correct answer

Answers

Answer:

C. (5 , 6)

Step-by-step explanation:

a dilation of center O(0,0) and 3 as a scale factor :

Transform point (x , y) to point (3x , 3y)

Then it transforms R(1 , 2) to R’(3 , 6)

Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)

So , R’(3 , 6) ————> R’’(3+2 , 6)

5. You get a car loan for $13,000 to buy a used car. The car dealer who gives you the loan charges
8.4% interest, compounded monthly, for 4 years.
(a) What's the total amount you will have to pay back for this loan?
(b) What is your monthly payment for this loan?

Answers

Answer:

Total = $15,351.10

Monthly = $319.81

Solve 3x+1=15 for using the change base formula

Answers

Answer:

Step-by-step explanation: X = 4/3 or X= 1.3

3x + 1 = 5

3x = 5 - 1

3x = 4

X= 4/3 or X= 1.3

Evaluate F ( 3 ) :
F ( 3 ) =
X =

Answers

Answer:

f(3) = 1

x = 2

Step-by-step explanation:

f(2) = 3 then x = 2

Please ,Check the illustration I provided.

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