Question

can someone please explain this step by step

Answer 1

Answer:

Principal =7000, R =4%, n =2        (∵ semiannually compounded),

t =3 years

Using the formula, we have

A=P(1+100R)n.t

⇒A=7000(1+1004)2×3

⇒A =7000×(1.04)6

⇒A =7000×1.26531902

Amount =8857.23

Compound interest = Amount − Principal

=8857.23−7000

Compound interest =1857.23 Rs.

Answer 2

Answer:

$h = \frac{3}{\sqrt2}$

$b = \frac{5\sqrt3}{2}$

Explanation:

$\cos\theta=\frac{base}{hypotenuse}$

$\cos45=\frac{h}{3} \Rightarrow \frac{1}{\sqrt2} = \frac{h}{3}$
$\Rightarrow h = \frac{3}{\sqrt2}$

$\sin \theta = \frac{opposite}{base}$
$\sin\theta = \frac{b}{5} \Rightarrow \frac{\sqrt3}{2} = \frac{b}{5}$
$\Rightarrow b = \frac{5\sqrt3}{2}$

Hope it helped