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3 years ago

On 1 st March, 2020 Mr. Mohit started a Furniture business in GANDHI NAGAR Mr. Mohit invested Rs 50,00,000.

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

8 0

Answer:

Answer to the following question is as follows;

Step-by-step explanation:

Given:

Amount invested by Mr. Mohit = Rs. 50,00,000

Computation:

Books of (...... LTD)

Journal entries

Date Particular Debit Credit

March 1 Cash A/C Dr. 50,00,000

To Capital A/C Cr. 50,00,000

(Being Amount invested in new business)

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Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

andreev551 [17]

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0 or sin(2x) = 0 or 2 cos(2x) + 1 = 0

sin(5x) = 0 or sin(2x) = 0 or cos(2x) = -1/2

sin(5x) = 0 ==> 5x = arcsin(0) + 2nπ or 5x = arcsin(0) + π + 2nπ

… … … … … ==> 5x = 2nπ or 5x = (2n + 1)π

… … … … … ==> x = 2nπ/5 or x = (2n + 1)π/5

sin(2x) = 0 ==> 2x = arcsin(0) + 2nπ or 2x = arcsin(0) + π + 2nπ

… … … … … ==> 2x = 2nπ or 2x = (2n + 1)π

… … … … … ==> x = nπ or x = (2n + 1)π/2

cos(2x) = -1/2 ==> 2x = arccos(-1/2) + 2nπ or 2x = -arccos(-1/2) + 2nπ

… … … … … … ==> 2x = 2π/3 + 2nπ or 2x = -2π/3 + 2nπ

… … … … … … ==> x = π/3 + nπ or x = -π/3 + nπ

(where n is any integer)

5 0

3 years ago

It takes a total of 6 hours to fill up an inground backyard pool using a standard house. A function can represent this situation

frez [133]

Answer:

All real numbers between 0 and 6

Step-by-step explanation:

We know, the function represents 'the amount of water in the pool until it is full'.

That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.

So, we get that,

The domain is representing the time in which the pool is filled completely.

As, we are given that,

Maximum time taken to completely fill the pool = 6 hours.

So, the domain of the functions is 'All real numbers between 0 and 6'.

5 0

3 years ago

What is the solution to the equation X/2- 4 = 6? x = 1 x = 5 x = 10 x = 20

jeka94

[ Answer ]

$\boxed{\bold{X \ = \ 20}}$

[ Explanation ]

Solve: X ÷ 2 - 4 = 6

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

Rewrite Equation

$\frac{X}{2}$ - 4 = 6

Add 4 To Both Sides

$\frac{X}{2}$ - 4 + 4 = 6 + 4

Simplify

$\frac{X}{2}$ = 10

Multiply Both Sides By 2

$\frac{2x}{2}$ = 10 · 2

Simplify

X = 20

$\boxed{\bold{[] \ Eclipsed \ []}}$

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3 years ago

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT

tatiyna

The first one is correct

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3 years ago

Mrs. Coronado spent $23 on a manicure. About how much money should she leave for a 15% tip?

devlian [24]

Answer:

3.45

Step-by-step explanation:

15 percent of 23

15 percent to decimal = 0.15

23 x 0.15 = 3.45

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3 years ago

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