Use sigma notation to represent the sum of a geometric series with a first term of 3 and a common ratio of . A. B. C. D.
Answers
Answer:
[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]
Step-by-step explanation:
A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.
The first term is denoted by a and the common ratio is denoted by r.
A geometric sequence has the form:
a, ar, ar², ar³, . . .
The nth term of a geometric sequence is [tex]ar^{n-1}[/tex]
Therefore the sum of the first n terms is:
[tex]\Sigma_{k=1}^{n}(ar^{k-1})[/tex]
Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:
[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]
Related Questions
SEE
igle is 180
VX
Given: yll z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Stateme
Reasons
21
21
23
25
26
m21
m23
L
m 25
A
m26
M
1
2 3
Y
Statements
Reasons
4
5
6
7
Z
С
B
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answers
Answer:
igle is 180
VX
Step-by-step explanation:
AB
MA
B
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For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.
Answers
4. Jill math score on her test last year 7th grade was 650. Her math teacher told her that her test level went up by 2586. What was Jill's test score level in 6 grade? answer
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In the given figure, m∠TPA = m∠PQC = 135°. Which one of the following postulates proves the lines AB and CD are parallel?
Answers
Answer:
The correct answer is "A" I just took the test trust me
Step-by-step explanation:
The function g is defined by g(x) = 3x - 5.
Find g (2x).
Answers
g(2x) = 3(2x) -5
We can multiply 3 and 2x to simplify this, which will give us 6x
g(2x) = 6x - 5
HELP. DUE AT 11:59!!!!! PLEASE
Answers
B. 1,000 feet
D. Taras line is steeper which means she walks at a slower rate
A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?
Answers
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
Answer:
14.2
Step-by-step explanation:
I’m a bit slow, help please
Answers
Which of the following statements are equivalent to the statement
"price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 662 % of what it was before
3
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Answers
The given statement "price increased by 100%" is same as the price doubled.
What is the meaning of price increased by 100%?The price increased by 100% means that the price becomes double of the initial number.
Given is the statement as -
"price increased by 100%"
The given statement "price increased by 100%" is same as the price doubled
Therefore, the given statement "price increased by 100%" is same as the price doubled.
To solve more questions on price increased, visit the link -
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Drag tiles to match each fraction, decimal, or percent to an equivalent number.
24/25 3/5 9/50 26% 0.35
0.96 60% 0.18 13/50 7/20
PLEASE ANSWER ASAP
Answers
Answer:36%=9/25 17/50=34% 0.18=18% 1/4=0.25 Hope that helped:)
Step-by-step explanation:
The solution to the equation is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
a)
24 / 25
The value of the fraction A = 24/25 is
A = 0.96
Therefore , A = 24/25 = 0.96
b)
3/5
The value of the fraction A = 3/5
Multiply the numerator and denominator by 20 , we get
A = 3/5 x 20/20
A = 60 / 100
A = 60 %
Therefore , A = 3/5 = 60 %
c)
9/50
The value of the fraction A = 9/50
Multiply the numerator and denominator by 2 , we get
A = 3/5 x 2/2
A = 18 / 100
A = 0.18
Therefore , A = 9/50 = 0.18
d)
26 %
The value of the fraction A = 26 %
Convert the percentage A = 26 % into fraction , we get
A = 26/100
A = 13 / 50
A = 13/50
Therefore , A = 26 % = 13/50
e)
The value of the fraction A = 0.35
Convert the decimal A = 0.35 to fraction , we get
A = 35 / 100
Divide the numerator and denominator by 5 , we get
A = 7 / 20
Therefore , A = 0.35 = 7 / 20
Hence , the value of the equation A is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
To learn more about equations click :
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In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.
Answers
Answer:
84°Step-by-step explanation:
∠VTY is the tangent chord angle
Tangent chord angle is the half of the intercepted arc∠TSV is the inscribed angle.
Inscribed angle is the half of the intercepted arcSince both of the mentioned angles refer to same arc, they are of same value.
∠VTY = ∠TSVΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
m∠T = m∠V = 48°The measure of angle S
m∠S = 180° - 2*48° = 84°The required angle
m∠VTY = 84°Answer:
∠VTY = 84°
Step-by-step explanation:
because ΔTSV is isosceles (ST = SV) then ∠VTS = ∠SVT = 48°
Then ∠VST = 84° (180 - 48 - 48 = 84)
Well, I'm going back to the picture is worth a thousand words again.
Sketch attached:
A line from S to the center bisects ∠VST into two 42° angles.
A line from T to the center forms a 42° angle with line ST.
48°-42° = 6° = angle from perpendicular line CTR to line VT.
90° - 6° = 84° for ∠VTY
Can someone help me with this please?
Answers
Answer:
the function is linear
Step-by-step explanation:
now you figure this out in many ways,
but the easiest is to plot the points on a Cartesian x-y plane, rule a line through the points,if it's in a straight line then its linear if it's a curve its cubic
from the question, after plotting your points.ie (-9,-2),(-5,-7),(-1,-12),(3-17)
we get a straight line pointing downwards.
I hope this is convenient enough
HELP WILL GIVE BRAINLIST IF CORRECT!!!
Under her cell phone plan, Morgan pays a flat cost of $55.50 per month and $4 per gigabyte. She wants to keep her bill at $71.90 per month. How many gigabytes of data can she use while staying within her budget?
Answers
Answer:
4.1
Step-by-step explanation:
You would first subtract 55.50 from 71.90 which leaves you with 16.4,
Then you would divide 16.4 by 4 to find how many gigabytes she could use which gives you 4.1
Hope this helped
Answer:
4.1
Step-by-step explanation:
if x varies directly as y, and y=6 when x=27, find x when y=2
Answers
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
2 questions plz answer both
Answers
Answer:
●3 x^2 - 16 x + 20
in this case you will write -16 as a difference
3 x^2 - 6x - 10 x + 2
●2 x^2 + 25x + 50
write 25 as a sum
2 x^2 + 20x + 5 x + 50
Answer:
above is correct i reviewed it id be surprised if its wrong.
Step-by-step explanation:
give above brainliest.....
Screenshot below, please help
Answers
Answer:
Angles 2 and 5
Step-by-step explanation:
The first choice is wrong because they are not equivalent to each other
Which value is a solution of the inequality 1/4 y
_ >8
Answers
Explaination: If 9 is greater than 8 and you multiply 9 by 4 to equal out 1/4, this is what you get for y.
Given: ⅓ (18x + 27) = 81 Prove: x = 12
Answers
Answer:
Firstly, rewrite the equation:
⅓ (18 + 27) = 81
Substitute x for the given number of it's supposed equivalent.
In this case x = 12.
⅓ (18(12) + 27) = 81
Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.
(18 x 12) + 27 = 243
Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .
⅓ (243) = 81
When you multiple these number they are equivalent to 81.
81 = 81
Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.
You buy a new computer for $2000. The computer decreases value by 25% each year. Given the equation V(t)=2000(.75)t , where V represents the computer's value in dollars and t represents the time in years. After how many years will the computer be worth half the original value? Give your answer to 3 decimal places.
Answers
Answer: You would need 3 years till the total value is less than the 2,000.
Step-by-step explanation:
Year 1.) 1,500
Year 2.) 1,125
Year 3.) 843.75
Noah says that 9x−2x+4xis equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.
Elena says that 9x−2x+4xis equivalent to 11x, because the subtraction only applies to 2x.
Who is correct? And why are they correct?
Group of answer choices
Elena
Noah
Answers
4 ft
diameter =
Circumference
=
Area =
Answers
diameter (d)= 2r=2*4=8ft
Step-by-step explanation:
circumference =2πr
=2 *4*22/7
=25.14 ft
also
Area=πr^2
=4^2 *22/7
50 .28 sq ft
Answer:
Diameter: 8ft
circumference: 25.12
area: 50.24 square feet
Step-by-step explanation:
radius is 4ft
Diameter is 8ft
circumference 2×pi×radius
2×3.14×4
25.12
area (pi)radius^2
3.14×(4)^2
3.14×(16)
50.24
50 square feet
The diameter of a cylinder is 2,000 in. The height of the cylinder is 8,000 in. What is the approximate volume of the cylinder? Use 3.14 for pi
Answers
the volume of the cylinder is 25,120,000,000 cubic in.
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
Answers
Simplify
5 x 5^2
leaving your answer in index form.
Answers
Answer:
5^3
Step-by-step explanation:
5 x 5^2 = 5^3
Answer: 5^3
Step-by-step explanation: hope this help
WILL GIVE BRAINLIEST! (Please hurry)
Which algebraic expression has like terms?
A. 9n3 - 2n+ 3 - 4n2
B. 7n3 + 3n - 3 - 6n2
C. 7n3 + 4n - 3n3 - 5n2
D. 6n3 - 4n4 + 6n - 5n2
Answers
Answer:
B!!
Step-by-step explanation:
Answer:
b! is the answer :):):):)
Need help! please grade needed
Answers
Answer:
(2,3)
Step-by-step explanation:
Hey There!
When it asks for the solution to the system of equations when given a graph
Its pretty much asking, at what points do the two equations cross at
The two equations cross each other at (2,3)
thus meaning that the solution is (2,3)
Answer:
(2,3)болды
Step-by-step explanation:
Мені кі дұрыс
The oil pump can move 84.25 gallons of oil every minute. How much will the oil move in an hour?
Answers
Answer:
5,055 gallons per hour
Step-by-step explanation:
You must multiply 84.25 by 60 because an hour is 60 minutes therefore your answer is 5,055 gallons per hour. Hope that helps!
Answer:
5,055
Step-by-step explanation:
there is 60 minutes in a hour soo...
84.25 x 60 = 5,055
a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for Pie
b. What percent of the perimeter of the
square is the circumference of the
circle?
Answers
Answer:
a) 94.2 cm
b) 78.5%
Step-by-step explanation:
a) since the square side = 30 cm
it means the diameter = 30 cm
then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm
b) the perimeter of the square = 30×4 = 120
94.2 for 120
x% for 100%
x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%
Solve the following quadratic equation using the quadratic formula.
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
Answers
Answer:
x = (8-6i)/10
x = (8+6i)/10
Step-by-step explanation:
Plz help I need this for my grade report cards are coming out
Answers
Answer:1.5
1st box: 0.75
2nd box: 1.5
3rd box: 3
4th box: 28
Step-by-step explanation:
First I got the 4th box. I found out 3.5x2=7, and 7x2=14. So I know the pattern is multiply by 2.
Then I got the 3rd box. I used a proportion. (14x6)/28= 3
Then the 2nd box. I did (3x7)/14=1.5
Lastly, I did the 1st box. (1.5x3.5)/7= 0.75
I hope that helped :)
Answer:
1.19
69.9
Per
6 have a great day