Answer:
x=8
Step-by-step explanation:
Subtract 7 from 56 until you get 0, then count up how many 7's you used.
56-7-7-7-7-7-7-7-7=0
56-7=49
49-7=42
42-7=35
35-7=28
28-7=21
21-7=14
14-7=7
7-7=0
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?
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
#SPJ2
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#?
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
The quadratic formula of 3x^2+4x+5=0
3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0
solve for x in the triangle. round your answer to the nearest tenth
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
Answer:
1, 1, sqrt of 2
help pleaseeeee, I’ve been struggling with this a lot lately
Answer:
90°
Step-by-step explanation:
The rotation pattern is y,-x so, this means that the angle is 90°
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
IM NOT SMART IM SORRY
Answer:
a
Step-by-step explanation:
1.
x+7=0
x=-7
2.
2x-3=0
2x=3
x=3/2
You just need to find the x for each when it equals to zero
Brillianst please!
Answer:
ye im not smart either sorry.
Step-by-step explanation:
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
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
Who applied algebra to astronomy?
A. Brahmagupta
B. Diophantus' Arithmetica
C. Aryabhatt
D. Hermann Grassman
Answer:
brahmagupta ..........
Answer:
A. Brahmagupta
Step-by-step explanation:
It is the "Correct Answer"
i need the answers quick
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.
Combine like terms.
7x + 2y - 3x + 4y
The answer is 4x + 6y.
Answer:
4x + 6y
Step-by-step explanation:
7x - 3x = 4x
2y + 4y = 6y
4x + 6y
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answer:
hi, there is no variable
24. Pe un cerc sunt dispuse 2014 numere reale, fiecare având modulul 11. Se face suma celor 2014 produse de câte patru numere dispuse consecutiv pe cerc. Atunci suma este
Answer:
Co czekało na tych co brali udział w powstaniu listopadoCo czekało na tych co brali udział w powstaniu lisCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strCo czekałCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ać ze strony cara?)o na tych co bCo czekało Co czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zeCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?) strony cara?)na tyCo czekało na tych co brali udział w Co czekało na tych co brali udział w powstaniCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)u listopadowym? (czego mogli się spodziewać ze strony cara?)powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ch co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)rali udCo czekało na tych co brali udział w powstaniuCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) listCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)opadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)ział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ony cara?)e stronyCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) cara?)topadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)wym? (czego mogli się spodziewać ze strony cara?)
I need help can some one help me
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
you have to see what leangth matches
pls help with math question !
thank you !!
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!
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?
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
principal=10000 Rate=7% time=20 years
Answer:
p= 10000
r= 7
t=20 yrs
I= ?
We know that,
I= P× T × R /100
=10000× 7×20/100
= 14000,,
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?
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~
What is x-intercept of y=-3x+5
Answer:
To find x intercept, u graph it
the x intercept is 1.67
Step-by-step explanation:
Find the slope for the line with points (2,4) and (3,6)
Let m = slope
m = (6 - 4)/(3 - 2)
m = 2/1
m = 2
The slope is 2.
Answer:
-2/1 is the slope for the question
find the value of given expression
[tex] \sqrt{230 - 5} [/tex]
Answer:
i think it is 345 but not sure
Step-by-step explanation:
If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium
Helppppp pleaseeeee I don’t knowwww
NEED HELP!!!!
Please
Answer:
# 1,3 and 6
Step-by-step explanation:
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.
B. 10% is a statistic and 45% is a parameter.
Ji-yoon's bill at the restaurant was $45.10. She left a tip of 18%.
What was the tip amount (nearest penny)?
answer this pls
What are all the values of r where the function.....
Please help ASAP!!!
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.
Answer: 24.9
Step-by-step explanation:
6.2 tan(76) = 24.86
Answer:
the answer is 24.9
Step-by-step explanation:
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )
Answer:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,1)[/tex] [tex]B =(2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]D = (5,1)[/tex]
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
[tex](x,y)=>(-x,y)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]
When a point is translated 2 units down, the rule is:
[tex](x,y) => (x,y-2)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]
So, the new coordinates are:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]