Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
64 teams were invited, thus [tex]a_1 = 64[/tex].After each round, half the teams are eliminated, thus [tex]q = \frac{1}{2}[/tex].The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
[tex]a_n = a_1q^{n-1}[/tex]
[tex]a_4 = 64\left(\frac{1}{2}\right)^{4-1}[/tex]
[tex]a_4 = 8[/tex]
After 3 rounds, 8 teams are left.
A similar problem is given at https://brainly.com/question/25317689
I’m a little lost on this
표에 제시된 상품의 품목 및 2015 년도의 수량이 소비자물가지수를 계산하는 기준이
된다면 2015 년도의 소비자 물가지수를 100 이라고 할 때 2020 년도의 소비자물가지수는
얼마인가?
Answer:
wat? HWHAHWhhwhwhwhwwhwhw
Let a, b, and c be real numbers where a . b*C+0. Which of the following functions could represent the graph
below?
ASAP PLS
Answer:
Step-by-step explanation:
In the year 2007, a company made $2.2 million in profit. For each consecutive year
after that, their profit increased by 9%. How much would the company's profit be in
the year 2009, to the nearest tenth of a million dollars?
Answer:
4.796
Step-by-step explanation:
get the 9% which is .178 plus that by 2.2 and x 2
o
Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?
A commission of 24% of her total
monthly sales.
Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.
Answer: job 2 $ 108.75
Step-by-step explanation:
The total income after adding commission will be $5776.25.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.
Total income will be calculated as:-
Total income = 4000 + 12.25% of 14500
Total income = 4000 + 1776.25
Total income = $5776.25
Therefore, the total income after adding the commission will be $5776.25.
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Select the reason that best supports statement 5 in the given proof.
A.Substitution
B. Multiplication
C. Addition property of equality
D.Transitive property
The reason that best supports statement 5 in the given proof is Substitution.
What is Number system?A number system is defined as a system of writing to express numbers.
In the given question -
The first reason is given in the question itself.
The second reason is given by congruency.
The third reason is again given in the question.
The fourth reason is also given.
Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
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Find the exact value
Answer:
yrdfcghftfc 6
Step-by-step explanation:
jhfbvnhjyffvb
Use rounding to the nearest whole number to estimate the product
4 1/4 • 7 9/17
A) About 32
B) About 35
C) About 40
D) About 25
Answer:
A) About 32Step-by-step explanation:
4 1/4 • 7 9/17The first one is rounded down as 1/4 < 1/2 and the second one rounded up as 9/17 > 1/2.
4 * 8 = 32Correct choice is A
Product
17/4(128/17)128/432Option A
For which of the following equations is x = -4 a solution?
Hello, i need some help for questions 2-5 please
Answers:
4. =9.999........
Examplantion :
5×2÷3=9.99999..........
Please answer the question step by step!
Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still available to purchase
Answer:
25%
Step-by-step explanation:
Total purchase = 25%+50%
Total purchase = 75%
Percentage left = 100% - 75%
Percentage left = 25%
Evaluate v(x) = 12 - 2x - 5 when x = -2, 0, and 5
Answer:
65
Step-by-step explanation:
Solve.
−0.4x−3.1=5.9
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5
Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:
−0.4x − 3.1 = 5.9
Add 3.1 to both sides−0.4x − 3.1 + 3.1 = 5.9 + 3.1
-0.4x = 9
Divide both sides by -0.4-0.4x/-0.4 = 9/-0.4
x = -22.5
Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5
Learn more here:
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Andre wrote the expression -2 + 4x = 3 to represent the relationship shown in the table. Write two other expressions that also represent the relationship shown in the table.
Two other expressions that also represent the relationship shown in the table are;
4x-5 = 04x-5 = 0x = 5/4According to the question;
Andre wrote the expression -2 + 4x = 3 to represent the relationship shown in the tableIn essence, to write two other expressions that also represent the relationship shown in the table; we can rearrange the terms in the expression Andre wrote (-2 + 4x = 3) as follow;
First expression is;
-2 - 3 + 4x = 04x-5 = 0Second expression is;
4x = 5x = 5/4Read more:
https://brainly.com/question/13968118
Change 185% to a mixed number and reduce, if possible.
Answer:
1 17/20
Step-by-step explanation:
Put 185 over 100. Then, Simplify. Divide 180 and 100 by 5. 180 ÷ 5 = 37 and 100 ÷ 5 = 20. Then, divide 37 by 20. Write down the the quotient as the whole number and the remainder as the numerator.
Homework help!!!!!!!
Answer:
r = -9
Step-by-step explanation:
the less the negative number is the more it is .
PLEASE HELP ME SO I CAN GRADUATE!!!!!
What is the y-intercept of the line passing through the point (4,-5) with a
-2
slope of ?
A.
41
9
O
B.
O
O
D.
49
9
Answer:
A: -41/9
Step-by-step explanation:
Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.
-5 = -1/9(4) + b
-5 = -4/9 + b
Solve for b:
b = -41/9
Our equation: y = -1/9(x) - 41/9
How many years will it take an investment of
$3,000 to double itself when interest is
compounded monthly at 8%? Round your answer to
the nearest year.
Answer:
The nearest cent is going to be %1.00 So it’s B girla
Step-by-step explanation: i think it is
Which number is rational?
Please help me
Answer:A
Step-by-step explanation:
Hepplpppppppppppppppoplllpllppppppp
Answer:
X = 53°
y = 143°
Step-by-step explanation:
Hope it helps!!!!!!
Please help ME I NEED THIS also theres a photo
Which math expression means "the quotient of an unknown number and 18"?
A. x ÷ 18
B. 18 • x
C. x – 18
D. x + 18
Answer:
[tex]option \: b.[/tex][tex]18•x[/tex]
Answer:
Step-by-step explanation:
How do I do 5% of 5.00? Please explain step by step?
Answer:
You take 1 percent from each
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
5% of 5
5 5 25
------ × ---- = ------
100 1 100
25/100 is 0.25
Hope this helped you- have a good day bro cya)
if 8 ^ x=2 sqrt 2 find the value of x.
Answer:
[tex]{ \rm{ {8}^{x} = \sqrt{2} }} \\ \\ { \rm{ {2}^{3x} = {2}^{ \frac{1}{2} } }} \\ \\ { \rm{3x = \frac{1}{2} }} \\ \\ { \rm{x = \frac{1}{6} }}[/tex]
Fatima drove 100 miles in 4 hours. What is the constant of proportionality for 100 miles in 4 hours and 200 miles in 8 hours? Please answer ASAP.
Answer:
25
Step-by-step explanation:
4 hours goes into 100 miles 25 times.
NO LINKS!!! Part 2:
[tex]y = \sqrt{x} [/tex]
Shape:
Domain:
Range:
Given:
A square toot function y = √x--------------------------------------------------------------------
Shape: half of a parabola
Domain: Non- negative numbers x∈ [0, +∞)
Range: Non- negative numbers y∈ [0, +∞)
A caterer charges 5500 plus 530 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering Write
and solve an inequality in terms of the number ofguests, 9 that can be invited.
Answer:
x = 250
Step-by-step explanation:
125 × 37 help meeee pleaseeeeee
Answer:
Step-by-step explanation:
125x37=4625
!!!25 Points HELP ME PLS ASAP
Answer:
$4.03
Step-by-step explanation:
because 15% of 3.50 is 0.525
take 0.525 and round it up (0.53)
3.50 + 0.53 = $4.03
Answer:
$4.03
Step-by-step explanation:
there are two ways to work this problem:
a) find out what 15% of 3.50 and add it to 3.50; requires two steps
b) multiply 3.50 and 1.15 which will give you the answer in one step
Solutions:
a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny
now add 3.50 and 0.53 to get 4.03
b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03
