Math, asked by mrharshpatel5, 1 year ago

A sum of 400 would become 441 after 2 years what is the rate of compound interest?

Answers

Answered by TooFree
12

A = P(1 + r)ⁿ


Find interest rate:

441 = 400( 1 + r)²

( 1 + r)² = 1.1025

1 + r = 1.05

r = 0.05


Convert 0.05 to percentage:

0.05 x 100 = 5%


Answer: The compound interest rate is 5%


PADMINI: remove point after 1.
PADMINI: i think it should be 1.1025.
Answered by Vaibhavhoax
34
Heya
Here's your answer
________________________________________________________________________

we use compound interest formula -

A(amount) = P(1+r/100)n

441 = 400 {(1 + \frac{r}{100} )}^{2} \\<br /><br />= \frac{441}{400} = {(1 + \frac{r}{100} )}^{2} \\ <br /><br />= {( \frac{21}{20} )}^{2} = {(1 + \frac{r}{100} )}^{2} \\ <br /><br />= \frac{21}{20 } = 1 + \frac{r}{100 } \\ <br /><br />= \frac{20}{21} - 1 = \frac{r}{100} \\ <br /><br />= \frac{r}{100} = \frac{1}{20}

= R = 5%
________________________________________________________________________
glad help you
it helps you
thank you,

@vaibhavhoax
#born with attitude
Similar questions