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Ram gives his son 100 naira on one day, 50 naira on the second day, 25 naira on the third day and so on. What will be the total amount given by Ram to his son starting from the first day, if he lives forever?
Answers
Answer:
175+(25*∞d)
Step-by-step explanation:
So d will represent the days which we don't know yet
100 + 50 + 25 + 25d
175+25d
and in this case it will be infinite the amount of days so
175+(25*∞d)
The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Given,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.
What is a geometric sequence?It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.
Example:
2, 4, 8, 16, 32
Common ratio = 4/2 = 8/4 = 16/8 = 2
The sum of the nth term of a geometric sequence is given by:
S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)
We see that,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
This is a geometric sequence.
Find the sequence.
100, 50, 25, ,,,,,,, ∞
Here,
The common ratio is:
r = 50 / 100 = 25/50 = 1/2
i.e r < 1
Find the sum of at ∞.
Now,
a = 100
r = 1/2
n = ∞
From (2)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]
S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]
S = 100 [ 1 / 0.5 ]
S = 100 / 0.5
S = 200
Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Learn more about geometric sequences here:
https://brainly.com/question/11266123
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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?
Answers
Answer:
331776
Step-by-step explanation:
Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?
Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?
= 4? · 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288
Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912
We now find 3#
3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24
We now find 2#
2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 2# = 2?· 1? = 2 × 1 = 2
We now find 1#
1# = 1? · 1? = 1? · 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
And, 1# = 1? · 1? = 1 × 1 = 1
So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answers
Answer:
hi, there is no variable
factor the expression pls! 35-40x
Answers
Answer:
5(7-8x)
Step-by-step explanation:
Answer:
it will be 5 (7 - 8x)
Step-by-step explanation:
5 times 7 is 35 and 5 times 8 is 40
12 workers can do a peice of work in 20 days. How many workers should be added to complete work in 16 days?
Answers
if 12 workers can do a piece of work in 20 days, then one person can do it in 240 days. 240/16 is 15. That is the number of workers that you need in total to it in 16 days. Since the question ask how many more workers,
15 - 12 = 3 more workers.
10 points
8. Sally works at a furniture store. She earns $420 a week plus 5.25%
commission on her sales. One week her sales are $2200. What is her total
income for the week? *
$535.50
$536.50
$555.00
Answers
Answer:
Answer: $535.50
Step-by-step explanation:
All you had to so was multiply $2200 by 5.25%. Which would then give you 115.5$ and then you add $420, which would give you the final answer of $535.50
A television channel broadcasts a baseball game every day. Yesterday's broadcast showed the game for 2 5/6 hours and commercials for 2/3 hour. At this rate, how many hours does the television channel show a game for every hour it shows commercials during its broadcasts?
Answers
Answer:
4.25 hours
Step-by-step explanation:
Given that :
Game broadcast time = 2 5/6 hours = 17/6 hours
Commercials time = 2/3 hours
2/3 hours of commercials = 17/6 of game broadcast
1 hour of commercials = x hours of game broadcast
Cross multiply ;
(2/3)x = 17/6
2x * 6 = 17 * 3
12x = 51
x = 51 / 12
x = 4.25
For every hour it shows commercials, game is broadcasted for 4.25 hours
i need the answers quick
Answers
Answer:
1: 4
2:6
3: 13
4: 36
5: 21
6: 15
7: 21
8: 2
9: 6
10: 45
Step-by-step explanation:
add, subtract, multiply, or divide both sides depending on what problem it is.
18 entre 12 (división) Porfa respondan, mi ama me pega con la chancla si no lo hago,, es lo único que me faltam
Answers
Answer:
Step-by-step explanation:
18 dividido por 12 es 1.5 , esto se puede probar haciendo division larga o multiplicando 1.5 por 12
1.5 * 12 = 18
Espero que te haya ayudado la respuesta y que ahores el chancletazo.
10^6 times 10^5 as a power of ten - thanks !
Answers
Answer:
one hundred billion
Step-by-step explanation:
10^6 x 10^5 = 10^11
10^11 = 100,000,000,000 or one hundred billion
I hope that's what you meant ^-^
Add. (6x2 – 2x) + (5x – 7)
Answers
Answer:
Thats going to be 12x
Step-by-step explanation:
Combine like terms.
7x + 2y - 3x + 4y
Answers
The answer is 4x + 6y.
Answer:
4x + 6y
Step-by-step explanation:
7x - 3x = 4x
2y + 4y = 6y
4x + 6y
f (x) =x2 + 10x + 24.
Answers
Answer:
(-5,-1)
explanation
GIVING BRAINIEST IF CORRECT!!
Amanda slept for 1/3 of the day. She played with her friends for 1/5 of the day. She spent the rest of the day working on a school project. What fraction of the day did she spend working on her project?
Answers
Answer:
She spent 7/15 of the day working on her project.
Step-by-step explanation:
Well we cant get a clear answer with the fractions 1/3 and 1/5, so we are going to have to turn them into equivalent fractions.
3 and 5 both have 15 LCD so:
1/3 x 5/5 = 5/15
1/5 x 3/3 = 3/15
5/15 + 3/15 = 8/15
15/15 - 8/15 = 7/15
She spent 7/15 of the day working on her project.
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
solve for x in the triangle. round your answer to the nearest tenth
Answers
Answer:
x = 6.4
Step-by-step explanation:
Since you are given adjacent and hypotenuse use sin 53 = add/hyp
So .79863551 = x/8 so x = 6.3891
Which of these is a Pythagorean Triple?
1,1 square root of 2.
1, square root of 3, 2
11, 50, 51
20, 21, 29
Answers
Answer:
1, 1, sqrt of 2
6
7
8
9
10
What is the simplified form of the following expression?
7(V2x) - 3(V16x)-3(Vox
0 -5(2x)
o 2x-6(K)
0 -(/2X) - 6(V)
Answers
Answer:
is there a pic u could show?
Step-by-step explanation:
the price of one gallon of gas was $2.59 in 2007. the average price of one gallon of gas this month is $3.69. what is the percent of change?
Answers
Answer:
42.471% increase
Step-by-step explanation:
DUE ASAP PLS
HELP
5. Find BC.
5. In Triangle ABC, angle A is a right angle and angle B= 60. If AB= 20 ft, find BC. If necessary, round your answer to the
nearest tenth.
A) 10ft
B) 40ft
C) 20 √ 3 ft
D) 40 √ 3/3 ft
Answers
A rectangular parking lot measures 40 m x 30 m.
How much distance can you save by cutting
across the parking lot instead of walking all the
way around it from A to C?
This is Grade 8 Math Pythagorean theorem
Answers
A random sample of 40 seniors reveals that 10% of those sampled have assigned parking spaces in the high
school's main lot. This is surprising because, according to the main office of a large high school, 45% of seniors
have assigned parking spaces in the high school's main lot. Which of the following statements is true?
10% is a statistic and 45% is a statistic.
10% is a statistic and 45% is a parameter.
10% is a parameter and 45% is a statistic.
10% is a parameter and 45% is a parameter.
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B. 10% is a statistic and 45% is a parameter.
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=76°, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
Answers
Answer: 24.9
Step-by-step explanation:
6.2 tan(76) = 24.86
Answer:
the answer is 24.9
Step-by-step explanation:
Find the discriminant. (Must Show Work)
-9m^2+m-7=0
Answers
Answer:
-251
Step-by-step explanation:
the discriminant .b^2-4ac
=1-4×(-9)×(-7)
=1-252=-251
pls help with math question !
thank you !!
Answers
Answer:
42 degrees
Step-by-step explanation:
All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
[tex]180=84+54+a\\180=138+a[/tex]
Subtract both sides by 138
[tex]180-138=138+a-138\\42=a[/tex]
I hope this helps!
If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium
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ommon Unit Assessment (MC) I 4 of 12
Christopher determines the system of s(x) and (x) has only one solution. Which system is Christopher solving?
A
X +3
s(x) =
X-5
+1 and t(x) = x +3 +2
ОВ.
s(x) = x2
and t(x) = In(x +7)+4
C. s(x) = 2x42 -5 and t(x) = -x +31+2
OD. $(x) = (x +3 -1 and t(x) = 2x - 5
Answers
Answer:
D
Step-by-step explanation:
I had the same question and I got this right
Christopher is solving a system of equations that has one solution and can be seen in Option C.
What is a system of equations?A system of equations is two or more equations that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.
A quadratic equation is the second-order degree algebraic expression in a variable.
s(x) = 2x42 -5 and t(x) = -x +31+2
However, if their power is not in one degree, the quadratic equation produces two solutions.
From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.
Learn more about systems of equations here;
brainly.com/question/14323743
I’m giving 30 points please help
Answers
Answer:
Triangle A
Step-by-step explanation:
Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.
find the value of given expression
[tex] \sqrt{230 - 5} [/tex]
Answers
Answer:
i think it is 345 but not sure
Step-by-step explanation:
What is the domain of y = log5^x
all real numbers less than 0
all real numbers greater than 0
all real numbers not equal to 0
all real numbers
Answers
Answer:
The answer is all real numbers
Answer:b
Step-by-step explanation:
Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?
Answers
Answer:
NOStep-by-step explanation:
I THINK THE RIGHT ANSWER IS RHS THEOREM.