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pishuonlain [190]
2 years ago
10

Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal

respectively.How much amount does he divide?
Mathematics
1 answer:
lara [203]2 years ago
4 0

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years = x(1+0.05)^{2}\cdots(i)

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years = (82000-x)(1+0.05)^{3}\cdots(ii)

As both the amounts are equal, so from equation (i) and (ii)

x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

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I have a 3 foot board that needs to be equally decided into 1/2 how many extra peices will I have
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Step-by-step explanation:

Given:

Total number of foot board = 3

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Question asked:

How many extra pieces will I have = ?

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By dividing 3 by 1/2 we can find the extra pieces.

                                                                 = 3\div\frac{1}{2}

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Write in ordinary form<br> 8.14 x 10-8
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Hello!

______________________

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8 0
3 years ago
1-12 I don’t know if you can please help me thanks
katovenus [111]

1 24

2 .41

3 180

4  2000

5   46

6  .18

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10   .8

11    3.628739

12   4000


pretty sure juh looked it up hope it helps!

4 0
3 years ago
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