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 1

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)

Answer 2

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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Related Questions

pls help with this question 30 pts plus brainlyist.

Answers

eighteen biscuits are made from each cup

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.

Answers

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.

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What is the equation of a line in slope intercept form that passes through the points (3 , 7) and (6 , 16)?

Answers

Answer:

y-y1 = m(x-x1)

y-7 = 3(x-3)

y-7 = 3x-9

y = 3x-2

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.

Answers

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]

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​

Answers

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:

Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x

Answers

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

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

Answers

The answer is D



Because I worked it out

Please help!!! Find the value of h for the parallelogram shown.

Answers

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.

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​

Answers

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

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

Answers

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




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 %

Answers

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%

What is 57 divided by 5?

Answers

Answer:

11.4

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

How do you simplify
1 π (64)^2 (6)

Answers

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

The answer for the question is 24576 π. (Decimal 77207.78015)

14. Solve for x.
110°
(8x - 1)
(5x + 36)
(6x-2)
(7x + 19)
116°

Answers

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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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?

....

Answers

2.05 x 12 = 24.6
1.85 x 6 = 11.1
24.6 + 11.1 = 35.7
she gives 40, so now you do 40 - 35.7 = 4.3

$4.30 is the change

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

which one should I be picking??

Answers

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

Please look at the picture and answer my question I need help!

Answers

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

PLEASE HELP IT"S URGENT
Which figure has the greater Volume??

Answers

I cannot see the picture ?

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.

Answers

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

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!!

Answers

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.

HELP PLS ILL MARK BRAINLIEST

Answers

The first answer (it makes the most sense)

HELP ILL GIVE BRAINLYEST!

Answers

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????

I just need the answer please dont explain ​

Answers

Use photomath it’s faster and you get correct Answers!<3 have a good day
The answer is 12 :))))

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?

Answers

9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)

Simplify this for me please!!! And fast

Answers

-2xy + 5x² +4y -10x

Step-by-step explanation:

Solve the equation 2/3(9+x)=−5(4−x).

Answers

Answer:

the answer is x=6

Step-by-step explanation:

hoped I helped

The answer should be x=6

Complete the table of equivalent ratios.
3
5

10
9


20

25

Answers

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

The legs of a right triangle measure 5 and 8. What is the length of the hypotenuse?

Answers

[tex]\sqrt{89}[/tex]

Hope This Helps You!

Good Luck Studying ^-^

500
450
400
350
300
250
200
150
100
50
10
30
50
70
9
0
Write the equation of a line?

Answers

Answer:

Not proportional because it's not linear. Hope this helps

please help asap!! i’ll give brainlist if right.

Answers

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

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