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Maurinko [17]
3 years ago
9

4a+3b+c=16 a-3b+2c=11 11a-2b+3c=45

Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer:

c=-37/42 b=-71/42 a=9/14

Step-by-step explanation:

Find what c is equal to using terms of a and b

c=16-4a-3b

Do the same for a using terms of c and b

a=11+3b-2c

Plug in a terms into c equation

c=16-4(11+3b-2c)-3b=-28/3-5b

Plug in c term into a equation

a=11+3b-2(16-4a-3b)=21/9-b

Plug in both a and c equations into 11a-2b+3c=45

11(21/9-b)-2b+3(-28/3-5b)=45

distribute and simplify to get that b=-71/42

plug in b to your c equation

c=-28/3-5x-71/42=-7/42

plug in b to a equation

a=21/9-(-71/42)=9/14


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The product of four different positive integers is 100. What is the sum of these four integers?
Leno4ka [110]

Step-by-step explanation:

The Answer for the above question is

The four integers are 1,2,5,10. And Sum of the four integers is 18 .

<u>Method : </u>

Product of four different positive integers is 100 .

<u>First</u> of all lets break the number "100"

 ⇒  100 = 50*2

 ⇒ 100 = 25 * 2 * 2

  ⇒ 100 = 5 * 5 * 2 * 2

But here we get the same  integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2  which is 10.

Let's get to the possible combination -

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 Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .

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Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest =
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Answer:

The rate of interest for compounded annually is 6.96 %  .

Step-by-step explanation:

Given as :

The principal amount = Rs 4600

The time period = 5 years

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Let The rate of interest = R %

<u>From compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, Rs 6440 = Rs 4600 × (1+\dfrac{\textrm R}{100})^{\textrm 5}

Or, \frac{6440}{4600} =  (1+\dfrac{\textrm R}{100})^{\textrm 5}

or, 1.4 =  (1+\dfrac{\textrm R}{100})^{\textrm 5}

Or, (1.4)^{\frac{1}{5}} = 1 + \dfrac{R}{100}

or, 1.0696 =  1 + \dfrac{R}{100}

or, \dfrac{R}{100} = 1.0696 - 1

Or, \dfrac{R}{100} = 0.0696

∴ R = 0.0696 × 100

I.e R = 6.96

Hence The rate of interest for compounded annually is 6.96 %  .  Answer

5 0
3 years ago
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