Answer:
The loan amount after 3 years is $ 5,196.88
Explanation:
Given as :
The principal amount for room loan = $ 3,800
The rate of interest applied = 11% compounded annually
The time period of loan = 3 years
Let The Total loan amount = $ A
Now, From Compounded method :
Amount = Principal ×
![(1+(\textrm rate)/(100))^(\textrm time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8vyvx45u1j0hhdziyk2l5d1e1b8uz8wocs.png)
or, A = $ 3,800 ×
![(1+(\textrm 11)/(100))^(\textrm 3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4ncagaie1dyrpq1huvor3j0c3vzcf6hjx0.png)
or, A = $ 3,800 × (1.11)³
or, A = $ 3,800 × 1.3676
∴ A = $ 5,196.88
So, Amount after 3 years = A = $ 5,196.88
Hence The loan amount after 3 years is $ 5,196.88 Answer