6. At what rate per cent per annum, will 360 amount to 450 in 4 years?

1.	6. At what rate per cent per annum, will 360 amount to 450 in 4 years?
Answer» $\huge{\underline{\underline{\red{♡Solution→}}}}$ → $\bold{\huge{\underline{\underline{\rm{ <klux>GIVEN</klux> :}}}}}$ PRINCIPAL (p) = 360 Amount (A) = 450 Time (n) = 4 $\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$ The rate percent or the value of r . ____________________________ $\purple{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$ We KNOT that → $a = p( {1 + \frac{r}{100}) }^{2}$ Put all given values in this formula - $450 = 360( {1 + \frac{r}{100} )}^{4}$ $( {1 + \frac{r}{100} )}^{4} = \frac{450}{360}$ $( {1 + \frac{r}{100}) }^{4} = 1.25$ $1 + \frac{r}{100} = \sqrt[4]{1.25}$ $1 + \frac{r}{100} =1.05737126344\\ \frac{r}{100} = 1.05737126344 - 1 \\ \frac{r}{100} = 0.05737126344 \\ r = 0.05737126344 \times 100$ $\boxed{r = 5.737126344 \: \%}$ __________________________ *Mark as Brainliest !! ✨✨*

Answer»

$\huge{\underline{\underline{\red{♡Solution→}}}}$