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4 years ago

How many 5 digit numbers can be formed using the digits 0,1,2,3,4,5,6 if repetition of digits is not allowed

Mathematics

1 answer:

Elodia [21]4 years ago

5 0

6!=6*5*4*3*2*1=720
Pretty sure this is correct

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You have 480 feet of fencing to enclose a rectangular garden. you want the length of the garden to be 30 feet greater than the w

lesya692 [45]

The length is 135 ft

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3 years ago

Simplify the expression. Write the answer without using parentheses or negative exponents.

rodikova [14]

$\frac{ (x^4 y^2)^5 }{ (x^2 y)^2 } =\frac{ x^{4*5} y ^{2*5} }{ x ^{2*2} y ^2 } =\frac{ x^{20} y ^{10} }{ x^4y^2 } = x^{20-4} *y^{10-2}= x^{16} *y^{8}$

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3 years ago

At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years

Mashutka [201]

ANSWER:

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

SOLUTION:

Given,

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,

When interest is compound Annually:

$Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

3 0

3 years ago

What is the value of n in the equation 0.2(n - 6) = 2.8? (1) 8 (3) 20 (2) 2 (4) 44

Vera_Pavlovna [14]

So,

0.2(n - 6) = 2.8

Distribute.
0.2n - 1.2 = 2.8

Add 1.2 to both sides.
0.2n = 4

Divide both sides by .2.
n = 20

Check.
0.2(20 - 6) = 2.8

Simplify inside parentheses.
0.2(14) = 2.8

Multiply.
2.8 = 2.8 This checks.

S = {2.8}

3 0

3 years ago

Determine the length of the missing side of the right triangle? ? inches 15 inches 8 inches

Ksenya-84 [330]

Answer:

the missing angle would be 17 inches. I am not exactly sure but if the leg a and leg b were calculated with those 2 numbers then the other side(known as hypotenuse) should be 17 inches

3 0

3 years ago