riyazthapa44 riyazthapa44
  • 24-07-2021
  • Mathematics
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math class 10
the compound amount of rupees 4000 for 3 years is 5500 rupees find the compound interest ​

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Polyblock
Polyblock Polyblock
  • 24-07-2021

Answer:

11%

Step-by-step explanation:

Compound Interest Formula: initial ( 1 + interest rate )^time = final amount

Let compound interest be x

4000(1+x)^3 = 5500

Divide both sides by 4000

4000(1+x)^3 / 4000 = 5500/4000

Cube root both sides

[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]

1 + x = 2.22398 / 2

1 + x = 1.11199

Minus both sides by 1

1 + x = 1.11199

-1        -1

x = .11199 = 11%

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