Question

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

Answer 1

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

→

$\bold{\huge{\underline{\underline{\rm{ Given :}}}}}$

Principal (p) = 360

Amount (A) = 450

Time (n) = 4

$\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$

The rate percent or the value of r .

____________________________

$\</strong><strong>p</strong><strong>u</strong><strong>r</strong><strong>p</strong><strong>l</strong><strong>e</strong><strong>{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

We knot that →

• $a = p( {1 + \frac{r}{100}) }^{2}$

Put all given values in this formula -

$450 = 360( {1 + \frac{r}{100} )}^{4}$

$( {1 + \frac{r}{100} )}^{4} = \frac{450}{360}$

$( {1 + \frac{r}{100}) }^{4} = 1.25$

$1 + \frac{r}{100} = \sqrt[4]{1.25}$

$1 + \frac{r}{100} =</strong><strong>1.05737126344</strong></p><p>\\<strong> \frac{r}{100} = </strong><strong>1.05737126344</strong></p><p><strong> - 1 \\ \frac{r}{100} = 0.0</strong><strong>5</strong><strong>7</strong><strong>3</strong><strong>7</strong><strong>1</strong><strong>2</strong><strong>6</strong><strong>3</strong><strong>4</strong><strong>4</strong><strong> \\ r = 0.0</strong><strong>5</strong><strong>7</strong><strong>3</strong><strong>7</strong><strong>1</strong><strong>2</strong><strong>6</strong><strong>3</strong><strong>4</strong><strong>4</strong><strong> \times 100$

$</strong><strong>\</strong><strong>b</strong><strong>o</strong><strong>x</strong><strong>e</strong><strong>d</strong><strong>{</strong><strong>r</strong><strong> = </strong><strong>5</strong><strong>.</strong><strong>7</strong><strong>3</strong><strong>7</strong><strong>1</strong><strong>2</strong><strong>6</strong><strong>3</strong><strong>4</strong><strong>4</strong><strong> \: \%</strong><strong>}</strong><strong>$

__________________________

Mark as Brainliest !! ✨✨