if the compound interest on a sum for 2 years at 4% p.a. is ₹408, then the simple interest on the same sum at the same rate and for the same period is (I) ₹400 (ii) ₹398 (iii) ₹200 (iv) ₹204​

Answers

Answer 1

Given that:

CI = ₹408

years = 2 years

Rate of interest = 4%

A = P{1+(R/100)}^

A-P = p{1+(R/100)}^n - P

I = P[1+(R/100)}^n - 1]

408 = P[{1+(4/100)²} - 1]

= P[{1+(1/25)²} - 1]

= P[(26/25)² - 1]

= P[(676/625) - 1]

= P[(676-625)/625]

408 = P(51/625)

P = 408*(625/51)

= 8*625 = 5000

Sum = 5000

Simple Interest (I) = (P*R)/100

= 5000*2*(4/100)

= 50*2*4 = 400

From the given above options, option (a) ₹400 is your correct answer.

If The Compound Interest On A Sum For 2 Years At 4% P.a. Is 408, Then The Simple Interest On The Same

Related Questions

What is the value of x?

Answers

Answer:x = 2Step-by-step explanation:

We know that the triangle is an isosceles triangle because the base angles are the same.

=> 4x - 1 = x + 5=> 4x - x = 1 + 5=> 3x = 6=> x = 6/3 = 2Conclusion:

Therefore, the answer is 'x = 2'

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

Answers

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

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Find the slope of the line passing through the points (8,-4) and (1,-9)

Answers

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Answer: 0.71429

Step-by-step explanation:

Which of the following expresses in sigma​ notation?

Answers

Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Parallel, perpendicular, or neither
1. Y=x+6 and x- y=2
2. X-2y=8 and y=-2x+1

Answers

Answer:

1. parallel

2. perpendicular

Step-by-step explanation:

Solve the system of equations - 2x + 2y = 2 and - x + 3y = –17 by
combining the equations.

Answers

Answer:

x=-10, y=-9. (-10, -9).

Step-by-step explanation:

-2x+2y=2

-x+3y=-17

----------------

-2x+2y=2

-2(-x+3y)=-2(-17)

-------------------------

-2x+2y=2

2x-6y=34

----------------

-4y=36

y=36/-4

y=-9

-x+3(-9)=-17

-x-27=-17

-x=-17+27

-x=10

x=-10

Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?

Answers

(100 - 25) / 5
15 presents

What happend when matter condenses??
Plzz Answer???

Answers

Answer:

in condensation, gas turns into a liquid

Answer:

Condensation is when a gas becomes a liquid. ... In condensation, matter changes from a gas to a liquid. All matter is made of tiny moving particles called molecules. Evaporation and condensation happen when these molecules gain or lose energy.

Simplify please...Simplify Simplify

Answers

Answer:

See images.

Step-by-step explanation:

For these kinds of problems, get a common denominator. Put everything over that common denominator and add or subtract the terms in the numerator. Combine like terms. See images.

Answer:

Here are the answers.

Step-by-step explanation:

Which of these inequalities is graphed below? NA w 1519 he darrer 14 li AN W UM AN ww 12+ 9 6 3 wao WA ME BAL - 15 - 12-9-6-3 - WASSA 6 3 RES WORK 11122 wen M 1215 KA பா VA . BEL MON w AKS SHOP ܝܛܝܝ 1 L- ON IN 2002 151 A. y< 2x - 6 B. y s 2x – 6 C. y> 2x - 6 D. yz 2x – 6
I know the answer I want you to explain it​

Answers

Answer:(-4,3)

Step-by-step explanation:

Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.

Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3

*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)

(solve using substitution method. MUST SHOW WORK)

Answers

There are 23 sharks and 7 octopi in the aquarium

Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y

If the total number of animals in the tank is 30, therefore;

x + y = 30 ....................... 1

If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:

5x + 8y = 171 ................ 2

From equation 1, x = 30 - y ................... 3

Substitute equation 3 into 2 to have:

5(30-y) + 8y = 171

150 - 5y + 8y = 171

3y = 171 - 150

3y = 21

y = 7

Recall that x = 30 - y

x = 30 - 7

x = 23

Hence there are 23 sharks and 7 octopi in the aquarium

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Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour

Answers

Answer:

1 hour = $9.2

Step-by-step explanation:

The question says that:

Brody makes $78.20 in 8.5 hours.

So,

8.5 hours = $78.20

We need to find 1 hour pay.

So, divide both sides of the above equation by 8.5

8.5 / 8.5 hours = $78.20 / 8.5

1 hour = $9.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

how do you write 100 s a fraction, mixed number, or whole number

Answers

In fraction 100/100
In mixed number 10 0/10
Simplest form = 100

I hop this helps! :)

22.68 ÷ 14.65 ayuden pliss

Answers

Answer:

1.54

Step-by-step explanation:

does 12 11 and 7 make a right triangle

Answers

Answer: no

Step-by-step explanation: hope it helps

(03.01)
Is the following relation a function? (1 point)

x y
1 −2
1 −3
2 1
3 −2

Yes
No

Answers

Answer:

no

Step-by-step explanation:

the x values repeat itself

The given relation is not a function.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given a table of x and y values.

We have to determine the relation is a function or not.

By the definition of functions, a relation is a function if an input value does not map to two output values.

That is, an x value will not map to two y values.

From the table,

x = 1 maps to two y values -2 and -3.

This is not possible for functions.

So this is not a function.

Hence the relation is not a function.

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Can someone help me solve this problem? I’m not sure how to solve this type of expression

Answers

Answer:

(2x+3)square+2

Step-by-step explanation:

(2x) square +2 (2x)(3)+(3)square

2x square +12x+9

I think so.

pls give me brainliest

Please help I am stuck on this

Answers

Answer: B. y = 1/2x - 1

Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.

Consider an equation of a line in slope-intercept form: y = mx + b

Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.

I hope this helps.

can someone help me pls

Answers

Answer:

i think you add them not sure...

Step-by-step explanation:

40+44+44+??

ok?

Answer:

x=88°

x-44°=88°-44°=44°

Step-by-step explanation:

angle A+ angle B+angle C=180°

48°+x-44°+x°=180°

=48°-44°+x°+x°=180°

=4°+2x°=180°

=4°-4°+2x°=180°-4°

=2x°=176°

=2x°/2=176°/2

=x°=88°

x°-44°=88°-44°

=x°-44°=44°

who is better Green Bay packers or the bears

Answers

Answer:

green bay packers all dayyy

Step-by-step explanation:

B =
Round your answer to the nearest hundredth.

Answers

Answer:  41.81

Work Shown:

sin(angle) = opposite/hypotenuse

sin(B) = AC/AB

sin(B) = 2/3

B = arcsin(2/3)

B = 41.8103 approximately

B = 41.81

Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.

Find 34−13.95 . Express your answer in decimal form.

Answers

Answer:

34-13.95 = 20.05

Step-by-step explanation:

Answer:

20.05

Step-by-step explanation:

34 - 13.95 = 20.05

Use the distributive property to rewrite as an expression
5(x+3)

Answers

Answer:

5x+15

Step-by-step explanation:

you mulityply 5*x and 5*3

This is the question in the photo above.

Answers

Answer:

an alternative hypothesis is an angle that is alternate to each other

A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.

Answers

Answer:

22 feet.

Step-by-step explanation:

Arc Length= Ø / 360 degrees * 2pir

(2pir = 2 * pi * radius)

Given: r = 7 feet

Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2

Arc length: 1/2*2pi*7 = 21.99 ft

22 ft when rounded!

The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

What is the length of the arc of the circle?

The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.

Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.

The length of the arc will be calculated as below:-

Arc Length= Ø / 360 degrees * 2pir

(2πr = 2x π x radius)

r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2

Arc length =  1/2  x 2 π x 7 = 21.99 ft

Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

To know more about the length of the arc of the circle follow

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(50 points) Here are descriptions of four situations in which the volume of water in a tank is
a function of time. Match each description to a corresponding graph. Each graph
is used only once.
Available Responses:
Graph 1
Graph 2
Graph 3
Graph 4
Situation A: An empty 20-gallon water tank is filled at a constant rate for 3
minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is half
full. Afterwards, it gets refilled.
Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5
hours, slowly at first, and faster later.
Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dog
jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The
tank is refilled afterwards.

Answers

Answer:

A = 3

B = 1

C = 2

D = 3

Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Situation A :

The water tank is empty at first. So the graph must start at origin.

Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.

Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.

So the slope must be equal.

And the graph must start from 0 and ends at zero which is graph 3.

Situation B :

Water tank is already full. So the graph must start at higher value in the Y axis.

The only possibility for this is graph 1, since all others starts at origin.

Situation C :

Water tank starts at empty. So the graph starts at 0.

First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.

Situation D :

Graph starts at origin since the tank is empty.

Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.

Hence each of the graph corresponds to the situation is found.

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Twelve is sixteen less than four times a number.

Answers

4x-16=12 is the equation
To solve it add 16 to both sides
4x=28
Then divide by 4
X=7

Can someone help me, please? :((((

Answers

Answer:

C 132 square units

Step-by-step explanation:

. Happy Friday

Scientists say we should sleep 3/8 of a day.How about many hours is this

Answers

Answer:

9 hours

Step-by-step explanation:

Answer:

[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]

number of hours in a day = 24

according to scientists ,

we should sleep number of hours = 3/8

therefore ,

[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]

hope helpful~

5/7(x-9)=25
what does x equal?

Answers

Answer:

[tex]x=44[/tex]

Step-by-step explanation:

[tex]\frac{5}{7}(x-9)=25[/tex]

[tex]5(x-9)=175[/tex]

[tex]x-9=35[/tex]

[tex]x=44[/tex]

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