HELP ASAP
Antonio's sister has challenged him to find the sum of the 23rd through 40th terms of the series. Help
Antonio by finding this value. Explain your reasoning and show your work below.
Answers
The function A(n) = 22(1.1)^n-1 is an illustration of a geometric series
The sum of the 23rd through 40th terms of the series is 17.49
How to determine the sum of the seriesThe nth term of the geometric series is given as:
[tex]A(n) = 22(1.1)^{n-1[/tex]
The nth term of a series is represented as:
[tex]A(n) = ar^{n-1[/tex]
So, by comparison;
We have:
[tex]a = 22[/tex]
[tex]r = 1.1[/tex]
The sum of nth term of a geometric progression is:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Start by calculating the sum of the first 22 terms
[tex]S_{22} = \frac{22(1.1^{22} - 1)}{22 - 1}[/tex]
[tex]S_{22} = \frac{157.086}{21}[/tex]
[tex]S_{22} = 7.48[/tex]
Next, calculate the sum of the first 40 terms
[tex]S_{40} = \frac{22(1.1^{40} - 1)}{40 - 1}[/tex]
[tex]S_{40} = \frac{973.70}{39}[/tex]
[tex]S_{40} = 24.97[/tex]
Subtract S22 from S40
[tex]S_{40} - S_{22} = 24.97 - 7.48[/tex]
[tex]S_{40} - S_{22} = 17.49[/tex]
Hence, the sum of the 23rd through 40th terms of the series is 17.49
Read more about progression at:
https://brainly.com/question/12006112
Related Questions
pleseeeeeeeee help meeeeeeee
Answers
Answer:
33 feet
Step-by-step explanation:
6 sprinklers
5.5 feet each
6x5.5= 33feet
John share one pizza with Alan, If Alan ate 3/5 of the pizza, what fraction was eaten by John? *
Answers
Step-by-step explanation:
John = 1-(⅗) = ⅖
hope you are helped.
Answer:
if Allan ate 3/5 and the full is 5/5 then John ate 2/5
Please help I’m bad at graphs
Answers
Answer:
Horizontal Asymptote at 0
Vertical Asymptote at -1
Step-by-step explanation:
Look at the attached image
(THE BLUE LINES ARE THE ASYMPTOTES)
The red line is the actual graphed function.
If JKLM is a rectangle, JL = 2x + 5, and MK = 7x - 40, find JL.
Answers
Answer: 23
Step-by-step explanation:
please answer quickly
Answers
Answer:
150 and 30 degrees
Step-by-step explanation:
3x=x+100
2x=100
x=50
going in order from left to right, top to bottom, the answers would be
150, 30, 30, 150
sorry if i explained it weird '^^
9. A population of bears decreases exponentially. 400 a. What is the annual factor of decrease for the bear population? Explain how you know. 300 bear population 200 100 b. Using function notation, represent the relationship between the bear population, b, and the number of years since the population was first measured. I. That is, find a function, . so that b = f(t). 2 3 4 5 years since 2010 (From Unit 5, Lesson 8.) 10. Equations defining functions ab.c.d. and are shown here. Select all the equations that represent exponential functions. A. a(x) = 2x B. b() = (?) Ccm) = 2" D. dx) = 32 E. (t) = 3.2
Answers
Answer:
9a. 0.8
9b. f(t) = 400(0.8^t)
10. B, C, E
Step-by-step explanation:
The growth factor (or factor of decrease) for a time period will be found by taking the ratio of the value at the end of the time period to the beginning value.
9a.The population is 320 after 1 year. It started at 400 at the beginning of the year, so the factor of decrease is 320/400 = 0.80.
b.The exponential function can be written as ...
f(t) = a·b^t . . . . . where 'a' is the initial population, and 'b' is the factor of decrease
The initial population is shown on the graph as 400; the factor of decrease is what we just computed.
f(t) = 400(0.80^t)
__
10.An exponential function is one that has the independent variable as an exponent. That form is seen in selections B, C, E.
Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer. 7 yd 4 yd S= 2trh + 2r2
A286.68
B 276.32
C297.32
D266.68
Answers
abcdef is a regular hexagon of side 6 cm. Find the area of the shaded region.
Answers
Answer:
36√3 cm2 is the answer you should be expected
8 divided by 2/3
Please help with this its the last assignment i need to finish all of them
Answers
[tex]8\div \cfrac{2}{3}\implies \cfrac{8}{1}\div \cfrac{2}{3}\implies \cfrac{8}{1}\cdot \cfrac{3}{2}\implies \cfrac{8}{2}\cdot \cfrac{3}{1}\implies 4\cdot 3\implies 12[/tex]
20 emails in 5 minutes……. Unit rate
Answers
20/5=4
What is the value of this expression?(5+3) X (4-2)
Answers
Answer:
16
Step-by-step explanation:
Given the following question:
[tex](5+3)\times(4-2)[/tex]
Solve using PEMDAS:
[tex](5+3)\times(4-2)[/tex]
[tex]5+3=8[/tex]
[tex]8\times(4-2)[/tex]
[tex]4-2=2[/tex]
[tex]8\times2=16[/tex]
[tex]=16[/tex]
Your answer is "16."
Hope this helps.
A cylindrical flower vase has a height of 8 inches and a diameter of 4 inches. What is the volume of the vase? Use 3.14 for π
I kept getting the answer 401.92 and says it’s not correct, am I doing something wrong? This is what I did
V= π 4^2(8)
V= π 16(8)
V= π 124
V= 3.14 • 124 = 401.92
Reply with reasoning.
Answers
Answer:
v=pie r² ×h
v=3.14×2²×8
v= 100.48
Step-by-step explanation:
you are using diameter as the radius that is why exactly you are not getting it right! divide the diameter by 2 to get radius and use it with the formula
Which expression has a coefficient of 2?
O x + 2y + 18
1.2a + 4b + 2
n 24k = 12
17 + 2;
2t 100
Answers
Answer:
It's answer is....abkt
Step-by-step explanation:
It's simple add all and there will be your answer
Jane made a poster that had a length of feet and a width of feet. What is the perimeter of her poster?.
Answers
Answer:
Im not completely sure what this question is asking, however I'll try...
Well, if the length is in feet and the width is in feet, that would conclude that the perimeter would also be in feet. If you're asking for the actual number answer for what the perimeter is, I will not be able to help since there is a lack of information; you can only determine the perimeter when given the exact number of feet, both the width and length are.
Step-by-step explanation:
a line has the equation y=x+4. write down the coordinates of where the line intersects the y-axis
Answers
Answer:(0,4)
Step-by-step explanation:
Last week the price of gas was $2. 25. This week, the price has decreased by 15%. What is the price of gas this week
Answers
Answer:
$ 1.9125
Step-by-step explanation:
price of gas last week= $2.25
15% of $2.25 = 15/100 × 2.25
= $0.3375
since the price of the gas decreased by 15% this week, the new price will be 2.25- 0.3373 =$1.9125.
Which of the following functions best describes this graph?
Answers
We see that the zeros of the function are 4 and 5.
Now lets us write that into the equation
[tex]y=(x-4)(x-5)[/tex]
Now multiply that out
[tex]y = x^2-5x-4x + 20 = x^2-9x+20[/tex]
Hope that helped!
Only 1/3rd of the restaurant's 2 kg brick of French cheese is left. How many pounds of cheese are left? (1kg = 2.204 lb)
3.25 lbs
4.76 lbs
2.15 lbs
1.47 lbs
PLS HURRY
Answers
Answer:
ok so first we have to find out what 1/3 of 2 is
2 divided by 3=2/3
then we have to find out 2/3 of 2.204
2/3*2.204=1.46933333333
which is aprox 1.47
c
Hope This Helps!!!
The population of Adamsville grew from 10,000 to 18,000 in 6 years. Assuming uninhibited exponential growth, what is the expected population in additional 3 years?
Answers
Answer:
22,000
Step-by-step explanation:
Find the quotient. 24,761 ÷ 24
A. 17 24/ 1031
B. 131 17/24
C. 1,031 7/24
D. 1,031 17/ 24
Answers
24761/24 math problems division = 1031.70833333. Therefore 1031.70833333 to 2 decimal places= 1031.71
24761/24 divided by 2 » (24761/24) ÷ 2 » 1031.70833333 ÷ 2 = 515.854166667 . Check 24761/24 long division below
Consider the reaction. 2 upper h upper f (g) double-headed arrow upper h subscript 2 (g) plus upper f subscript 2 (g). at equilibrium at 600 k, the concentrations are as follows. [hf] = 5.82 x 10-2 m [h2] = 8.4 x 10-3 m [f2] = 8.4 x 10-3 m what is the value of keq for the reaction expressed in scientific notation? 2.1 x 10-2 2.1 x 102 1.2 x 103 1.2 x 10-3
Answers
The value of k equivalent for the reaction expressed in scientific notation is 1.2 × 10⁻³. Then the correct option is D.
What is a chemical equation?The equation in which chemically react with each other is called chemical reaction and if this reaction is shown mathematically then it is called a chemical equation.
The given chemical equation will be
[tex]\rm H_2 + F_2 \xrightarrow[equil.]{at\ 600} 2HF[/tex]
[HF] = 5.82 x 10⁻² m
[H₂] = 8.4 x 10⁻³ m
[F₂] = 8.4 x 10⁻³ m
The value of k equivalent for the reaction expressed in scientific notation will be
[tex]\rm k_{eq} = \dfrac{8.4*10^{-3}*8.4*10^{-3}}{5.82*10^{-2}}\\\\k_{eq} = 1.2 *10 ^{-3}[/tex]
More about the chemical equation link is given below.
https://brainly.com/question/20492533
Answer:
D
Step-by-step explanation:
Edge 2022
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
For part A the answer is B (the second one)
For part B I would say there is a 50 percent chance for the chip to land on red so the students should have the last chip land on red on the 9th trial because there would be a more than fifty percent chance for the chip to land on red.
first trial 128/2 = 64,
second trial 64/2 = 32,
third trial 32/2 = 16,
fourth trial 16/2 = 8,
fifth trial 8/2 = 4,
sixth trial 4/2 = 2,
seventh trial 2/2 = 1,
eighth trial 1 chip 50/50 chance,
9th trial 1 chip 75/25 chance for the chip to land on red.
Let's check
See the word off side so it is deducted ,
It will form a geometric sequenceGeneral formula is ar^n-1
So correct answer is
f(n)=128(1/2)^nWhich triangles are similar to triangle ABC?
0.7
0.5
0.4
Answers
Answer:
0.5 and 0.4
Step-by-step explanation:
I hope its help keep safe
What is the multiple of 7 that are between 44 and 54
Answers
Answer:
49 is your only answer........
Step-by-step explanation:
2. Find the circumference?
I need help I don’t know if that is the right answer
Answers
Answer:
50.24 cm
Step-by-step explanation:
circumference = 2πr
circumference = 2 × 3.14 × 8 cm
circumference = 50.24 cm
Remember to include cm in the answer. It should read 50.24 cm.
You got it right. Good job!
After years of smoking, the most powerful influence for their continuing to smoke is: Please help for Health and make sure you're right
A. To ease anxiety or stress.
B. To satisfy their desire for the taste of a cigarette.
C. To give their hands something to do.
D. Their addiction to nicotine.
Answers
Answer:
D. Their addiction to nicotine.
Explanation:
Nicotine is a type of drug which makes it tough for smokers to stop smoking and this is what makes them attracted most. The more nicotine you inhale, the better you feel - giving pleasure. Nicotine is harmful for the body and increases possibility of heart attack.
i need help asap plsss
Answers
Write an equation to represent the following:
"five times a number plus eight is equal to eight less than the number"
Answers
Answer:
5a + 8 = a - 8
Step-by-step explanation:
five times a number = 5 X a = 5a
plus 8 = 5a + 8
is equal to eight less than the number = a - 8
5a + 8 = a - 8
While on vacation in Colorado, an extended
family consisting of x children and y adults visited a
y
historic gold mine. The tickets to visit the gold mine
cost c dollars for children and a dollars for adults.
What is the best interpretation of the following
equation in everyday language? c = a - 7
Answers
Answer: The equation for a straight line is a linear equation. Since linear usually stands for anything straight or in a line, thus the equation for lines in the XY plane is referred to be a linear equation. For example, 2x+3y = 5 is a linear equation in two variables.
Step-by-step explanation:
I WILL GIVE BRAINLIESTTTTTTTTTTTTTT
Answers
Answer: both equations have the same solution because the second equation can be obtained by adding 4 to both sides of the first equation
eq 1 + 4:
= 3x+2 + 4 = -6 + 4
= 3x + 6 = -2 ⇒ eq 2