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3 years ago

Daniel buys a refrigerator for Rs 21 850 . The price includes a Value Added Tax (VAT) of 15 %. How much is the VAT?

Mathematics

1 answer:

arsen [322]3 years ago

5 0

$\large \mathfrak{Solution : }$

let's find the value of added tax :

$\dfrac{15}{100} \times 21850$

$\dfrac{3}{2} \times 2185$

$\dfrac{6555}{2}$

$3277.5$

The value of added tax (VAT) = ₹ 3277.5

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A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a

Sphinxa [80]

First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.

$I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

$I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.

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3 years ago

A value of 500 increases by 12%

Blizzard [7]

Value of 500 increased by 12% is 560

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2 years ago

Evaluate the following expression (2.3)-3(1,1)

uranmaximum [27]

Answer:

2.3 - ( 3, 1)

Step-by-step explanation:

1) Simplify 3 × (1, 1) 3 × (1, 1) to 3× 1, 13 × 1,1.

2.3 - ( 3 × 1, 1 )

2) Simplify 3 × 1 to 3.

2.3 - ( 3, 1)

Therefor, the answer is 2.3 - ( 3, 1).

3 0

3 years ago

Read 2 more answers

Help asap

kiruha [24]

Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f

Step-by-step explanation:

a) Natural Numbers: 1, 2, 3, ...

b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)

c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2 has a terminating decimal so it is a RATIONAL number.

2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) $\sqrt4$ = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) $\sqrt7$ is a non-terminating decimal so it is an IRRATIONAL number

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3 years ago

What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2

Klio2033 [76]

Answer: $\log\dfrac{x^2z^2}{y}$

Step-by-step explanation:

Properties of logarithm:

$(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}$

Consider,

$2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]$

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3 years ago