Question

1. Find the amount and the compound interest on 18000 for 2 years at 8% per annum, compounded half-yearly.​

Answer 1

Answer:

Compound interest = 3056.4

Step-by-step explanation:

Given :

Principal = 18000

Time = 2 years

Rate = 8%

To find :

The compound interest half-yearly

Concept :

So , formula to find compound interest half-yearly is -:

$\boxed{\sf{A=P{(1+\dfrac{\dfrac{r}{2}}{100})}^{2t} }}$

Where,

A = Final amount

P = Principal

r = Rate

t = time

After getting the final amount use this formula to find the compound interest -:

$\boxed{\sf{C.I.=A-P}}$

Where,

C.I. = Compound interest

A = Amount

P = Principal

Solution :

$\large{:\implies}\sf{A=18000{(1+\dfrac{\dfrac{8}{2}}{100})}}^{2\times2}$

$\large{:\implies}\sf{A=18000{(1+\dfrac{\dfrac{8}{2}}{100})}}^{4}$

$\large{:\implies}\sf{A=18000{(1+\dfrac{4}{100})}}^{4}$

$\large{:\implies}\sf{A=18000{(1+0.04)}}^{4}$

$\large{:\implies}\sf{A=18000{(1.04 \times 1.04 \times 1.04 \times 1.04)}}$

$\large{:\implies}\sf{A=18000 \times 1.1698 \: (approx)}$

$\large{:\implies}\sf{A=21056.4}$

So , the final amount is 21056.4 .

Now , the compound interest is -:

$\large{:\implies}\sf{C.I.=21056.4-18000}$

$\large{:\implies}\sf{C.I.=3056.4}$

So , the compound interest is 3056.4 .

Answer 2

Answer:

A__21772.45

CI___--3772.80

Step-by-step explanation:

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