Answer:
There will be 20 914 rupees in the amount at the end of 3 years.
Step-by-step explanation:
The amount of rupes after t years in compound interest is given by:
![A(t) = A(0)(1+r)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%2Br%29%5E%7Bt%7D)
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
This means that
. So
![A(t) = A(0)(1+r)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%2Br%29%5E%7Bt%7D)
![A(t) = 20000(1+0.015)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%2020000%281%2B0.015%29%5E%7Bt%7D)
![A(t) = 20000(1.015)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%2020000%281.015%29%5E%7Bt%7D)
Work out the total amount of money in the account at the end of 3 years.
This is A(3). So
![A(3) = 20000(1.015)^{3} = 20913.6](https://tex.z-dn.net/?f=A%283%29%20%3D%2020000%281.015%29%5E%7B3%7D%20%3D%2020913.6)
Rounding to the nearest rupee.
There will be 20 914 rupees in the amount at the end of 3 years.