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.
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SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
PLSSSSSSS HELP MEHHHHHH REWARD BRAINLIESTTTT
Answer:
y=f(x)
Step-by-step explanation:
This means it falls under x axis
Q2. f(x) moves to the left
Q3. moves to the right
pls help i give 25 points
Answer:
find the dirivitev
Step-by-step explanation:
Answer:
2b + 2c
35h + 15m
ef + eg
Step-by-step explanation:
you just individually multiply everything inside the parentheses by the number on the outside.
The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly
Explanation is in the file
tinyurl.com/wpazsebu
pls answer this asap
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-3}{2-0}[/tex] = - [tex]\frac{3}{2}[/tex]
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line
Find the quotient (PLEASE HELP)
[tex]{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 5x - 36}{x + 2} \div ( {x}^{2} - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^{2} - (9x - 4x)- 36)}{x + 2} \div ( {x}^{2} - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 9x + 4x - 36 }{x + 2} \div( {x}^{2} - 9x - 9x + 81)}}}}[/tex]
[tex]{ \dashrightarrow{ \sf{ \green{ \frac{x(x + 4) - 9(x + 4)}{x + 2} \div (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ \frac{(x + 4)(x - 9)}{(x + 2)} \div ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( x + 4)(x - 9)}{(x + 2)(x - 9)(x - 9)}}}}} [/tex]
[tex]{ \dashrightarrow{ \underline{ \sf{ \green{ \frac{(x + 4)}{(x + 2)(x - 9)}}}}}} \\ \\ \\ [/tex]
A soccer game is 60 minutes long. Forty-one minutes of the game
have been played. Write and solve an equation to find the number
of minutes m that remain. Enter your answer as m=?
Which statement could be used to explain why the function h(x) =3 has an inverse relation that is also a function
Correct Question is:
Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
1. The graph of h(x) passes the vertical line test.
2. The graph of the inverse of h(x) is a vertical line.
3. The graph of the inverse of h(x) passes the horizontal line test.
4. The graph of h(x) passes the horizontal line test.
Step-by-step explanation:
Answer is Option 2: The graph of the inverse of h(x) is a vertical line.
A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a
If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.
So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.
Which values are excluded values for the product?
Answer:
did they give u some initial numbers to substitute with or something?
What is the slope of this line??
Answer:
3/2
Step-by-step explanation:
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
After 3 hours, Ronald had travelled 195 miles. If he travels at a constant speed, how far in miles did Ronald drive per hour?
Answer:
65 miles per hour
Step-by-step explanation:
195 ÷ 3
= 65
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
What are the equation and slope for the graph and it's corresponding table below?
Answer:
x=2
Step-by-step explanation:
Answer
x=2
Step-by-step explanation:
The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.
Answer:
r = 8
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)
m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then
[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))
12 = 3(r - 4) ← divide both sides by 3
4 = r - 4 ( add 4 to both sides )
8 = r
30 divided by 12 pls hurry
Answer:
2.5 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
I will give brainliest if you answer please
ok the answer is b
Step-by-step explanation:
what is the solution to the system of equations x-y=5 and 3x+7y=-5
Answer:
Step-by-step explanation:
3(x-y)-3x-7y=3(5)-(-5)
3x-3y-3x-7y=15+5
-10y=20
y=-2, since x-y=5
x-(-2)=5
x+2=5
x=3
So the solution is the point (3,-2)
Ke'Andre joined the swim team. His high dive jump is modeled by the following equation: f(x) = -16x2 + 24x +6.
How high up is the diving board? Enter the numeric answer without a label.
please help
Answer:
6
Step-by-step explanation:
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
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HELP HELP ME PLZ !!!
Answer:
GK=JK
Step-by-step explanation:
SSS congruency is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.
For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.
The options are:
<G=<J
<H=<H
GK=JK
the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS
GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.
Hope this helps!
A farmer needs to ship 99,000 pumpkins to a grocery store. If each crate can hold 11
pumpkins, how many crates will the farmer need?
Plssss hurry and respond
Answer:
The farmer will need 9,000 crates.
Step-by-step explanation:
Divide 99,000 by 11 to get 9,000 since there are 99,000 pumpkins and 1 crate can hold up to 11 pumpkins.
10. Which equations could be used to solve
for x? Circle all that apply.
Answer: B and D
Step-by-step explanation:
PLS HELP. If the spinner shown below was used 100 times, how many times can you expect to spin a number greater than 3?
3
60
2
40
Answer:
1/5 of the times or 20 times
Step-by-step explanation:
because there are 5 sections and 1 possible answer, the answer is 100/5 and that is 20
What is the solution to the inequality below?
Answer:
B
Step-by-step explanation:
[tex] \sqrt{x} < \sqrt{16} [/tex]
=x<4
Enter the correct answer in the box
The number of cups of sports drink that can be filled from a cooler varies inversely with the capacity of each cup. If each cup holds
6 ounces, 128 cups can be filled.
Write an equation that can be used to find the number of cups, c, of sizes ounces that can be filled from the cooler.
Answer:
the equation should be c=768/s or c s=768.
Step-by-step explanation:
This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.
To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.
cs=k
(128)x(6)=k
768=k
Using 768 for k, the general equation is c=768/s or cs=768.
The equation for the number of cups for a specific size can be written as c = 768/x.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The amount of drinks carried by each cup is 6 ounces.
And, the total number of cups are 128.
Then,the total amount of drink is 128 × 6 = 768 ounces.
Suppose the number of cups be c.
And, the size of each cup be x.
The following equation can be written for the number of cups as,
c = 768/x
Hence, the equation that describes the number of cups for the given case is c = 768/x.
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20/50 divide by 85/50
Answer:
Decimal form:0.23529411764
Fraction form:
Step-by-step explanation:As a decimal fraction:
23529411764/100000000000
The Greatest Common Factor
of 23529411764 and 100000000000 is:4
Simplify the fraction:
23529411764 / 4
100000000000 / 4
Simplified:
5882352941/25000000000
A group of friends wants to go to the amusement park. They have no more
than $110 to spend on parking and admission. Parking is $16.50, and tickets
cost $11 per person, including tax. Write and solve an inequality which can be
used to determine X, the number of people who can go to the amusement
park.
Answer:
110-16.50=93.50
93.50÷11= 8.5
answer is 8 people
Answer:
Inequality: 11x+16.5\le11011x+16.5≤110
Answer: x \le 8.5x≤8.5
Step-by-step explanation:
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answer:
The answer is 35 degrees because 60-25=35.
Step-by-step explanation:
PLEASE HELP +10 pts BUT BETTER SHOW WORK ON HOW U GOT THE ANSWER! No links. Plz.
I’ll report if u don’t answer the question I literally need help with this is no joke.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
x > 2
Step-by-step explanation:
Since the dot is not filled in, it does not include 2. Since it is moving to the right, it means it is more than 2.
Hope that helps!
Answer:
x>2
Step-by-step explanation:
since the circle on the number two is a hollowed-out circle then it is less than greater than so it is not equal to anything. and since the arrow is pointed greater than 2.
So all values of x are greater than 2
Hope this helps :)
