Calculate the interest on $7000 for 2 years at the rate of 8%per annum when the interest is compound annually?
Ankitgodara53:
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Hey here is your answer
Your question is :-
Calculate the interest on $7000 for 2 years at the rate of 8%per annum when the interest is compound annually?
Your answer is :-
principle = $7000
time = 2 years
rate = 8%
To find :- interest
As we know the formula
![a \: = p(1 + \frac{r}{100} {)}^{t} \\ \\ a \: = 7000(1 + \frac{8}{100} {)}^{2} \\ \\ a \: = 7000 \times ( \frac{108}{100} {)}^{2} \\ \\ a \: = 7000 \times \frac{108}{100} \times \frac{108}{100} \\ \\ a \: = 7 \times 108 \times \frac{108}{10} \\ \\ a \: = \frac{81648}{10} \\ \\ a \: = 8164.8 a \: = p(1 + \frac{r}{100} {)}^{t} \\ \\ a \: = 7000(1 + \frac{8}{100} {)}^{2} \\ \\ a \: = 7000 \times ( \frac{108}{100} {)}^{2} \\ \\ a \: = 7000 \times \frac{108}{100} \times \frac{108}{100} \\ \\ a \: = 7 \times 108 \times \frac{108}{10} \\ \\ a \: = \frac{81648}{10} \\ \\ a \: = 8164.8](https://tex.z-dn.net/?f=a+%5C%3A++%3D+p%281+%2B++%5Cfrac%7Br%7D%7B100%7D++%7B%29%7D%5E%7Bt%7D++%5C%5C++%5C%5C+a+%5C%3A++%3D+7000%281+%2B++%5Cfrac%7B8%7D%7B100%7D++%7B%29%7D%5E%7B2%7D++%5C%5C++%5C%5C++a+%5C%3A++%3D+7000+%5Ctimes+%28+%5Cfrac%7B108%7D%7B100%7D++%7B%29%7D%5E%7B2%7D++%5C%5C++%5C%5C+a+%5C%3A+++%3D+7000+%5Ctimes++%5Cfrac%7B108%7D%7B100%7D++%5Ctimes++%5Cfrac%7B108%7D%7B100%7D++%5C%5C++%5C%5C+a+%5C%3A+++%3D+7+%5Ctimes+108+%5Ctimes++%5Cfrac%7B108%7D%7B10%7D++%5C%5C++%5C%5C+a+%5C%3A+++%3D++%5Cfrac%7B81648%7D%7B10%7D++%5C%5C++%5C%5C+a+%5C%3A+++%3D+8164.8)
So, the amount is $8164.8.
Now, we have to find the interest
interest = amount - principle
interest = $8164.8 - $7000
interest = $1164.8
Hope this helps you
### BE BRAINLY ###
Your question is :-
Calculate the interest on $7000 for 2 years at the rate of 8%per annum when the interest is compound annually?
Your answer is :-
principle = $7000
time = 2 years
rate = 8%
To find :- interest
As we know the formula
So, the amount is $8164.8.
Now, we have to find the interest
interest = amount - principle
interest = $8164.8 - $7000
interest = $1164.8
Hope this helps you
### BE BRAINLY ###
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