Answer:
The compound interest after 2 years of loan is $1,050 .
Step-by-step explanation:
Given as :
The principal value = p = $5000
The rate of interest = r = 10%
The time period for the loan = t = 2 years
Let the compound interest = C.I
Now, From Compound Interest method
Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, A = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, A = $5000 × [tex](1+\dfrac{\textrm 10}{100})^{\textrm 2}[/tex]
Or, A = $5000 × (1.1)²
Or, A = $5000 × 1.21
Or, A = $6,050
So, The Amount after 2 years = A = $6,050
Now, Again
Compound Interest = Amount - Principal
So, C.I = A - p
Or, C.I = $6,050 - $5000
∴ C.I = $1,050
So, The compound interest = C.I = $1,050
Hence,The compound interest after 2 years of loan is $1,050 . Answer