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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Solve the equation 2/3(9+x)=−5(4−x).
Answer:
the answer is x=6
Step-by-step explanation:
hoped I helped
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
500
450
400
350
300
250
200
150
100
50
10
30
50
70
9
0
Write the equation of a line?
Answer:
Not proportional because it's not linear. Hope this helps
What is the equation of a line in slope intercept form that passes through the points (3 , 7) and (6 , 16)?
Answer:
y-y1 = m(x-x1)
y-7 = 3(x-3)
y-7 = 3x-9
y = 3x-2
PLEASE HELP IT"S URGENT
Which figure has the greater Volume??
I just need the answer please dont explain
Pamela needs to buy 12 yards of blue ribbon that costs $2.05 per yard. She also needs 6 yards of yellow ribbon for $1.85 per yard. If she gives the store cashier $40, how much change will she get back?
....
Answer:
13.5
Step-by-step explanation:
12 yards of blue ribbon that costs $2.05 per yard. is 24.6 . She also needs 6 yards of yellow ribbon for $1.85 per yard. is 11.1 24.6-11.1=13.5
Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x
Answer:
m = -10, 14 x = 1, -5
Step-by-step explanation:
m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)
(1)m^2 - 4m - 140 = 0
Objective: Find two numbers that multiply to -140(1 * -140) and add to -4
Numbers: 10, -14
(m + 10)(m - 14) = 0
m + 10 = 0, m - 14 = 0
m = -10, m = 14
x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)
(1)x^2 + 4x - 5 = 0
Objective: Find two numbers that multiply to -5(1 * -5) and add to 4
Numbers: -1, 5
(x - 1)(x + 5) = 0
x - 1 = 0, x + 5 = 0
x = 1, x = -5
By what percentages are Sweden's high category and medium category less than the United States' categories (to the nearest percent)?
High category = a0 %
Medium category = a1 %
REQUIRED CHART :
The required chart has been attached
Answer:
31.8%
30.0%
Step-by-step explanation:
Required :
To obtain the Difference between Sweden and United States high and medium categories to the nearest %
Sweden :
High category = $23.51
Medium category = $15.73
United States :
High category = $34.48
Medium category = $22.46
Percentage Difference :
High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%
Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%
A park has the shape of a trapezoid.
The shortest side of the park and its height have the same dimension.
Write numbers in the boxes to show the missing dimensions. What is the area of the park?
Hint: There are 3 parts in this question
Part 1 you need to find what is A
Part 2 you need to find what is B
Part 3 You need to calculate the area of all the figure ( find the area of the rectangle and two triangles then sum them all up)
Do not forget the unit!!
Answer:
[tex]the\: answer \: is \: {108 \: mi.}^{2} [/tex]
Step-by-step explanation:
Given hints:
a.) A park has the shape of a trapezoid.
b.) The shortest side of the park and its height have the same dimension.
In the given figure, the shortest side of the park is A. Since it is mentioned that the height and its shortest side have the same dimension, we can therefore say that the measure of A is 9 mi.
The longest side appears to be 6 miles longer that the shortest side:
[tex]b = a + 3 \: mi + 3 \: mi = a + 6 \: mi[/tex]
Therefore, B = A + 6 mi. = 9 mi. + 6 mi. = 15 mi.
Let's now determine the area of the park:
[tex]area = \frac{a + b}{2} h[/tex]
Where,
A = 9 mi.
B = 15 mi
H = 9 mi.
[tex]area = \frac{a + b}{2} h \\ \\ = \frac{9 \: mi. +15 \: mi. }{2} (9 \: mi.) \\ \\ = \frac{24 \: mi.}{2}(9 \: mi.) \\ \\ = (12 \: mi.)(9 \: mi. \\ \\ area = {108 \: mi.}^{2} [/tex]
The area of the park is 108 mi^2.
The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is located at in elevation equal to 1/6 of the total height of the oil rig a Helly pad is located 22.8 m above the observation deck what is the elevation of the Helly pad
Answer: 57.6m
Step-by-step explanation:
That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information
199.2m= top of off shore oil rig
-9.6 m is the base of the rig
observation deck is 1/6 of the total height
helly pad is 22.8m above the observation deck
First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m
So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m
Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.
Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m
So we know the total height is 208.8m
The observation deck is 34.8m
And the helly pad is 57.6m
Simplify this for me please!!! And fast
-2xy + 5x² +4y -10x
Step-by-step explanation:
Write a related function for - 6x + 8x - 5 = 3.
pls just explain and show your work if you can and ill give brainlest and 5 star
Answer:
x=4
Step-by-step explanation:
-6x+8x=2x
5+3=8 (when you move a number to the other side of an equals sign, it changes its value)
2x=8
2x/2 and 8/2
x=4
Answer:
X=4
Step-by-step explanation:
PLEASE HELP choose the image og PQR and P'Q'R after a translation of 2 units right and a reflection across the line x=1
Answer:
C is the answer
Step-by-step explanation:
because if you move the triangle two to the right then X=1
X=1 means the line is up and down going thought x=1
and if that line you make you reflect across it would be C
pls help with this question 30 pts plus brainlyist.
eighteen biscuits are made from each cup
Mr Jack thinks that ⅘ is equivalent to 9/10 because 4+5=9 and 5+5=10 Explain what was incorrect about this. Please use the terms numerator and denominator in your explanation, below.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{4}{5} = \frac{9}{10}[/tex] --- Jack's thought
Because:
[tex]\frac{4+5}{5+5} = \frac{9}{10}[/tex]
Jack's thought is incorrect.
This is so because, to get an equivalent fraction; you don't add common terms to the numerator and the denominator but instead you multiply the numerator and the denominator by a common term.
Take for instance, the common term is: 2
The fraction becomes:
[tex]\frac{4 * 2}{5 * 2} = \frac{8}{10}[/tex]
Which linear equation contains the points
shown in the table?
A y= 5x + 4
B. y= 4x+5
c y= 5x-4
D. y= 4x-5
Table
x y
1 -1
2 3
3 7
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area if this other. Be sure to include the correct unit in your answer.
Answer:
332 ft²
Step-by-step explanation:
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.
Solution:
The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²
Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft
The width of the path with the garden = 33 + 2 + 2 = 37 ft.
Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².
Area of the path = 1850 ft² - 1518 ft.² = 332 ft²
HELP PLS ILL MARK BRAINLIEST
What is 57 divided by 5?
Answer:
11.4
Step-by-step explanation:
Answer:
11.4
Step-by-step explanation:
Please help!!! Find the value of h for the parallelogram shown.
Answer:h=11.2
Step-by-step explanation:
From the figure, we can write
[tex]\Rightarrow \sin x=\dfrac{8}{10}=\dfrac{4}{5}\\\\\Rightarrow x=53.13^{\circ}[/tex]
Also, [tex]\sin x[/tex] can be written as
[tex]\Rightarrow \sin x=\dfrac{h}{14}\\\\\Rightarrow \dfrac{4}{5}=\dfrac{h}{14}\\\\\Rightarrow h=11.2\ \text{units}[/tex]
Answer: h = 11.2
explain: I can't do this much but hope this helps.
which one should I be picking??
Answer:
angle 1 is 39
angle 3 is 51
Step-by-step explanation:
Here, we want to get the value of angle 1 and angle 3
Let’s have the meeting point of the diagonals as E
Hence , ADE is a right triangle
Thus,
39 + angle 3 = 90
angle 3 = 90-39
angle 3 = 51
Furthermore;
we can see that ABD is isosceles, meaning that the base angles are equal
Thus, we have it that;
angle 3 and angle at B (for AEB triangle) are equal in values
So, we can conclude that the angle is 51 too
so if the angle is 51 too, then the triangles ADE and ABE are similar
That simply means angle marked 1 is 39
If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
9 × 13ˣ = 9 × exp(ln(13ˣ ))
… = 9 × exp(x ln(13))
… = A₀ × exp(kx)
so that
A₀ = 9
k = ln(13)
HELP ILL GIVE BRAINLYEST!
Answer:
Im not sure but hope you find it!!
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
douwdek0 The Titanic could stay afloat with four of its 16 watertight compartments flooded, more than anyone could imagine on a ship of its size. ... As the ice bumped along its starboard side, it punched holes in the ship's steel plates, flooding six compartments. In a little over two hours, the Titanic filled with water and sank. the answer is 128 if u read all this but brainlest????
The legs of a right triangle measure 5 and 8. What is the length of the hypotenuse?
[tex]\sqrt{89}[/tex]
Hope This Helps You!
Good Luck Studying ^-^
Given: m∠B = 46°; m∠C = 45°; m∠R = 46°; m∠T = 89° Prove: △ABC ~ △TRS Triangles A B C and T R S are shown. Angles A B C and T R S are 46 degrees. Angle B C A is 45 degrees. Angle R T S is 89 degrees. Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof? △ABC is an acute triangle. △TRS is larger than △ABC. The sum of the measures of the interior angles of a triangle is 180°. The sum of the side lengths of two sides of a triangle is greater than the third side length.
Answer:
C) The sum of the measures of the interior angles of a triangle is 180°.
Step-by-step explanation:
I got it correct on edge
The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two triangles shown in the picture.
Angle B = 46 degrees
Angle C = 45 degrees
Angle A = 180 - 45 - 46 = 89 degrees
Angle R = 46 degrees
Angle S = 180 - 46 - 89 = 45 degrees
Angle T = 89 degrees
Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.
Learn more about the similarity of triangles here:
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Please look at the picture and answer my question I need help!
Answer:
64oz=4lb
Step-by-step explanation:
When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.
To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.
64/16=4
64oz=4lb
14. Solve for x.
110°
(8x - 1)
(5x + 36)
(6x-2)
(7x + 19)
116°
The value of x in the hexagon is 17.
How to find the angle of a hexagon?A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.
Therefore, x can be found in the hexagon as follows:
we have to sum the whole angles to get x.
110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720
combine like terms
110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x = 720
278 + 26x = 720
subtract 278 from both sides of the equation
278 + 26x = 720
278 - 278 + 26x = 720 - 278
26x = 442
divide both sides by 26
x = 442 / 26
x = 17
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please help asap!! i’ll give brainlist if right.
Answer:
dogs = 2
cats = 80
Step-by-step explanation:
Here I will assume that cats and dogs are proportional
c = y d, if you substitue, you get
10 = y 4, which rearranged, becomes
y = 10/4 = 2.5
now that we know y, we can work out x and y, the missing dogs and cats
4 = 2.5 d
here, dogs = 2
c = 2.5 * 32
2.5 * 32 = 80
here, cats = 80
Complete the table of equivalent ratios.
3
5
10
9
20
25
Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.