The difference between the compound interest and the simple interest on a certain sum of money for 2 years at 11% per annum is Rs. 363. Find the sum.
1.33,000
2.31,000
3.30,000
4.32,000​

Answers

Answer 1

[tex]\huge\mathrm{\underline{\underline{Answer}}}[/tex]

★ Given :-

Difference between the CI and SI = ₹363

Years = 2 years

Rate of interest = 11% pa

★ Notations :-

p is principal

r is the rate of interest

t is the time period

★ Formula :-

Difference between the compound interest and simple interest =

p(1+(r/100))^t - p - (p×r×t)/100 = 363

★ To find :-

Let the sum be :- p

★ Solution :-

p(1+(r/100))^t - p - (p×r×t)/100 = 363

p( (1+11/100)^2 - 1 - 11×2/100 ) = 363

p( (111/100)^2 - 1 - 22/100 ) = 363

p ( 12321 / 10000 - 1 - 22 / 100 ) = 363

p ( (1.2321 - 1.22 ) = 363

p ( 0.0121 ) = 363

p = 363 / 0.0121

p = 3630000 / 121

p = ₹ 30,000

Ans:-The sum is ₹30,000


Related Questions

Can someone help me with this ASAP?! Please and thank you!!

Answers

Answer:

the 1st answer is correct

Step-by-step explanation:

The answer is 19-x=6

Solve for the missing variables. Round to the nearest tenth.

Answers

Answer:

6.6, 10, 35.1°, 10.8

Step-by-step explanation:

Q1

x/7 = sin 71°x = 7sin 71°x = 6.6

Q2

x = √8²+6² = √64+36 = √100 = 10

Q3

18/22 = cos xx = arccos 9/11x = 35.1°

Q4

8/x = cos 42°x = 8/ cos 42°x = 10.8

if a watch cost 40 dollars and you must pay 6.5 sales tax how much will tax be

Answers

$100

Step-by-step explanation:

hopes it helps :)))

A square has the vertices at (- 2, 6), (6, 1), (1, - 7) , and (- 7, - 2) . At what point do the diagonals of the square intersect?

Answers

Answer:

Intersection point is: (-1/2, -1/2)

Step-by-step explanation:

Notice from the attached image of the points on the plane, that opposite vertices are for example:

(-2, 6) and (1, -7), and we know that in a square, the diagonals intersect dividing themselves in equal parts. So what we need to find is the midpoint of the segment that joins (-2, 6) and (1, -7) to find where the diagonals intersect.

We use the formula for the midpoint:

x-midpoint = (x1 + x2) / 2

y-midpoint = (y1 + y2) / 2

In the case of the points (-2, 6) and (1, -7) these become:

x-midpoint = (-2 + 1) /2 = -1/2

y-midpoint = (6 + -7) / 2 = -1/2

G = 3j + 4 sovle for j

Answers

Answer:

j = (G - 4)/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

G = 3j + 4

Step 2: Solve for j

[Subtraction Property of Equality] Subtract 4 on both sides:                      G - 4 = 3j[Division Property of Equality] Divide 3 on both sides:                               (G - 4)/3 = jRearrange/Rewrite:                                                                                         j = (G - 4)/3

In parallelogram MNOP, which two sides are opposite sides?

Answers

Answer: Choice D) sides MN and PO

==========================================================

Explanation:

Refer to the diagram below. We have parallelogram MNOP such that we start at M, and work counterclockwise around the figure. You could work clockwise and it would be the same idea.

We see that side MN is opposite side PO. These are the two horizontal sides. The arrow markers tell us which pairs of sides are parallel. So this is why choice D is the answer.

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

Extra info:

Choice A is not the answer because segments MN and ON share a common point N. Note how "N" shows up in both "MN" and "ON". This makes them adjacent sides rather than opposite sides. You can think of "adjacent" as to mean "next door neighbor".Choice B is ruled out because segment MO is not an exterior side. Instead, it is a diagonal. Choice C is ruled out for similar reasoning as choice A. This time segments PM and PO have the shared common vertex of point P.

I will mark the BRAINIEST
Solve for x

Answers

Answer:

x = 10.5

Step-by-step explanation:

Firstly, in geometry, you may have to prove that the two triangles pictured are similar.

Since the two horizontal lines are marked, they are assumed to be parallel.

Therefore, if the lines are parallel, the two bottom angles of each triangle can be treated as the same due to the [Corresponding Angles Theorem], respectively

As such, the two triangles can be seen as SIMILAR as proven by Angle-Angle Similarity.

Now that we've proven both triangles to be similar, we can then set up ratios for the sides:

[tex]\frac{8}{6}[/tex] = [tex]\frac{8+14}{y}[/tex]

Note: we are using y as a measure of the entire right side of the triangle, so

y = 6 + x

Continuing on, if you cross-multiply the fractions to solve for y:

8y = 6 * 22

Simplify.

8y = 132

Simplify again.

y = 16.5

We are not done yet! We are solving for x, so remember y = 6 + x

16.5 = 6 + x

Solve for x.

x = 10.5

There are 15 circles and 6 squares. What is the simplest ratio of squares to circles?

Answers

Answer:

2:5

Step-by-step explanation:

Find the comment denominator; (In this case it is 3)

Answer:

5:2 OR 2:5 (depends on the formation you want!)

Step-by-step explanation:

Find what the biggest number both of the numbers have in common. (Find the greatest common factor.(GCF)GCF=3Divide each number by 3: 15 divided by 3=5 6 divided by 3=25:2 or 2:5

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

HI I NEED HELP QUICKLY!

On a separate sheet of paper: Respond to the following question. Show work, explain, be neat
Ann and Sue are saving money. Ann begins with $20 and saves $5 per week. Sue begins with no money, but can save
$10 per week.
1. Write a System of Equations representing Ann and Sue's savings.
Let x= # of weeks; y= Total amount of money saved
2. How many weeks will it take for the two girls to have the same amount of money?
How much money will they have at that time?
*Solve using TWO of the three methods you have learned (Table, Graph, Equal Values).
*Solution must be SHOWN and STATED in each representation.

Answers

Answer:

In 4 four weeks, they'll have the same amount of money

Step-by-step explanation:

1. Ann: y=5x+20; Sue: y=10x

2. You have to set both equations equal to each other so, 5x+20=10x. Solve for x. Take 5x away from each side, 20=5x. Divide both sides by 5, 4=x.

With the equations, you can graph and where the two lines meet is where they'll have the same amount of money.

Write an equation that represents the line

Answers

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

A sine function has a maximum y value of 8 and a minimum y value of -2. The period of the sine function is 4pi, and there is no phase shift/horizontal translation. What is the equation of the sine function?

Answers

Answer:

[tex]\displaystyle y = 5\sin(\frac{1}{2} x) +3[/tex]

Step-by-step explanation:

The Sine Function

The general form of the sine function (with no phase shift) is:

[tex]y = A\sin(\omega x) +M[/tex]

Where:

A = Amplitude

ω = angular frequency

M= Midline or vertical shift

The midline can be calculated as the mean value of the maximum and minimum values of the oscillation, thus:

[tex]M=\frac{8-2}{2}=3[/tex]

The amplitude is half the difference between the maximum and minimum values of the oscillation:

[tex]A=\frac{8+2}{2}=5[/tex]

The angular frequency is calculated in terms of the period T as:

[tex]\displaystyle \omega=\frac{2\pi}{T}[/tex]

Since T=4π:

[tex]\displaystyle \omega=\frac{2\pi}{4 \pi}=\frac{1}{2}[/tex]

Substituting in the general form of the sine function:

[tex]\boxed{\displaystyle y = 5\sin(\frac{1}{2} x) +3}[/tex]

The first choice is correct

Which value of w makes 14 = 11+
w
.
6 a true statement?!
8
Chon

Answers

14 = 11 + w/8 • 6

w = 4

Quiz 2
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%

Answers

Fraction: 1/2
Decimal: 0.5
Percentage: 50%

Please help me hurry a lot of points

Answers

Answer:

The radius of mercury is 6 times larger than the radius of hydrogen and the radius of uranium is 7 times larger than the radius of hydrogen.

Step-by-step explanation:

For mercury,

[tex]Ratio=\frac{radius of Hg}{radius of H} \\=\frac{1.5e-10}{2.5e-11} \\=6[/tex]

For uranium,

[tex]Ratio=\frac{radius of U}{radius of H} \\=\frac{1.75e-10}{2.5e-11} \\=7[/tex]

If I get paid 10 dollars a hour, how much do I get paid every 1 minute.

Answers

Answer:

0.16666

Step-by-step explanation:

100/60


Please help please anyone please help me with this please please help

Answers

Answer:

plleaseeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeee

Step-by-step explanation:

Answer:

according to me I think 2underroot 4

A gardening store wants to but supplies that cost $1,500. They can afford 4/5 of the total cost. How much can he store afford?

Answers

Answer: They can afford $1200 .

Step-by-step explanation:

Given : The total cost = $ 1500

Gardening store can afford [tex]\dfrac45[/tex] of the total cost.

Then, the amount they can afford can be computed as:

[tex]\dfrac45\times \text{(Total cost)}\\\\=\dfrac45\times(1500)\\\\=4\times300\\\\=1200[/tex]

i.e. The amount the store can afford  = $ 1200

Therefore, they can afford $1200 .

what is the closest whole number?

Answers

Answer:

1

Step-by-step explanation:

Louis owns a rectangular piece of property with an area of 1, square miles. The length of the property is 2) miles.

What is the width of the property?

mile

O2 miles

O 3 miles

O4 miles

Answers

Answer:

The Width of the property is 1/2 (or 0.5) miles

Step-by-step explanation:

Step I - Formula for the length of a rectangle is given as

L = [tex]\frac{A}{w}[/tex]

 

Where L = Lenght

A =  Area and

w = Width

Step II - Insert values

We have L to be equal to 2 Miles, and

W to be equal to 1 square mile

Therefore

2 = [tex]\frac{1}{w}[/tex]

To obtain w, we have to collect like terms to one side of the equation by cross multiplying

So

[tex]\frac{2}{1}[/tex] = [tex]\frac{1}{w}[/tex]

Cross multiplying we have

2w = 1

to get the value of w, we divide both sides by 2

[tex]\frac{2w}{2}[/tex] = [tex]\frac{1}{2}[/tex]

On the left side we are left with w, whilst on the right side we are left with a fraction - 1/2 (which in decimal form is 0.5)

Therefore, w = 0.5 Miles and this is the width of the property.

To confirm, Area of a rectangle is given by A = w * l

If we insert our figures, we'd get 0.5 x 2

Which is equals to 1 which was given in the question.

Cheers!

A group bike tour cost $75 plus $12 per bike rental .Write an equation to represent this linear relationship

Answers

Answer:

Y =  12 x + 75

Step-by-step explanation:

y = total cost of the tour

x = how many bikes rented

75 = tour cost for a group

Use the numbers 1 4 9 2 to create number sentences that equal to 9 and 27. (Use all of the numbers)

Answers

Answer:

7

Step-by-step explanation:

‎I need help with a math problem​

Answers

What's a problem to your math

Answer:

what's the problem of the math quetion?

If x varies inversely with ³√y, and x=3 when y=64 find x when y=1000

Answers

Answer:

Statement says that x varies inversely with ³√y

According to the above problem, we get

x=k/³√y, where k is a constant

Now, by putting x=3 when y=64

we have to find the value of k

3=k/³√64

3=k/4

k=3×4

k=12

Now, by putting the value of k

we have a find the value of x when y=1000

x=12/³√1000

x=12/10

x=1.2

x=1.2 is the right answer.

a field is 52 metre long and 42 metre wide entered the field is a part of uniform weight of 1 metre all around find the area of the path​

Answers

Answer:

3184m²

Step-by-step explanation:

Since a field is rectangle in nature

Area of the field = Length × Width

Given

Length = 52m

Width = 42m

Substitute

Area of the field = 52×42

Area of the field = 3184m²

Hence the area of the path is 3184m²

Write all integers between:
a. -17 and -12​

Answers

Answer:

-16, -15, -14, -13

Step-by-step explanation:

The chubby bunny weighs 5 pounds, and it gains 3 pounds per year. The fat cat weighs 19 pounds, and it gains 1 pound per year. When will the two animals weigh the same amount?

Answers

Answer: 7 years

Step-by-step explanation:

The Chubby bunny currently weighs 5 pounds but is increasing by 3 pounds per year. Assuming we wanted to find the weight in a given year, we can assume that given year is x. The expression would be:

= 5 + 3x

The fat cat weighs 19 pounds and gains by 1 pound a year.

Expression is:

= 19 + 1x

Equate the two equations together and find x:

5 + 3x = 19 + 1x

3x - 1x = 19 - 5

2x = 14

x = 14/2

x = 7 years

Triangle CAT is congruent to triangle ?

Answers

Answer:

Statements

1. Angle T congruent Angle G; Angle C congruent Angle D 2. DG congruent AT 3. Angle A congruent to Angle D 4. Triangle CAT congruent to triangle DOG

Step-by-step explanation:

Reasons 1. Given  2. Given 3. If 2 angles in a triangle are congruent to 2 angles in another triangle, then third angles congruent. 4. ASA  :)

the lines p and q intersect at point 0 what is the value of x?​

Answers

Step-by-step explanation:

since they're Head opposite angles.

[tex](3x - 3) = (2x + 13) \\ 3x - 2x = 13 + 3 \\ x = 16[/tex]

What percentage of the data values falls between the values of 27 and 45 in the data set shown?
25
30
35
40
45
50
25%
50%
75%
O 100%​

Answers

Answer:

50%

Step-by-step explanation:

So the values that fall between 27 and 45 are 30, 35, 40. So that's 3 values out of 6, and 3/6 = 1/5 = 50/100. So the answer is 50%

HELP i’m begging you dude pls multiple questions

Answers

It would be the last one hope this helps.
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