What are all the values of r where the function.....
Please help ASAP!!!
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:
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help me plss
Hurry uppp
Answer:
550 inches
Step-by-step explanation:
10*15/2=75
10*5/2=25
15*30=450
75+25+450=550
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answer:
hi, there is no variable
10^6 times 10^5 as a power of ten - thanks !
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 ^-^
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
[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium
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.
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:
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.
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
Find the discriminant. (Must Show Work)
-9m^2+m-7=0
Answer:
-251
Step-by-step explanation:
the discriminant .b^2-4ac
=1-4×(-9)×(-7)
=1-252=-251
Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:
Year Annual Tutoring Fee
2005 $1200
2008 $1350
A. What is the rate of change and initial value for Neil’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Answer:
The answer is 2550
Step-by-step explanation:
Add 1200 and 1350 it'll give you 2550
Answer:
250
2550
Step-by-step explanation:
sorry if wrong but I think
A=250
B=2550
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 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?
Answer:
42.471% increase
Step-by-step explanation:
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
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
Answer:
The answer is all real numbers
Answer:b
Step-by-step explanation:
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
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!
Helppppp pleaseeeee I don’t knowwww
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
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
find the value of given expression
[tex] \sqrt{230 - 5} [/tex]
Answer:
i think it is 345 but not sure
Step-by-step explanation:
factor the expression pls! 35-40x
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
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
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~
18 entre 12 (división) Porfa respondan, mi ama me pega con la chancla si no lo hago,, es lo único que me faltam
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.
Add. (6x2 – 2x) + (5x – 7)
Answer:
Thats going to be 12x
Step-by-step explanation: